50 Mcq on rectangular

1. What is the formula for the perimeter of a rectangle?
2. A) P = 2(l + w)
3. B) P = l × w
4. C) P = l + w
5. D) P = 4l

Answer: A) P = 2(l + w)

Explanation: The perimeter of a rectangle is the sum of the lengths of all its sides. Since a rectangle has two pairs of equal sides, we can express its perimeter as P = 2l + 2w or 2(l + w).

2 .What is the formula for the area of a rectangle?

1. A) A = 2(l + w)
2. B) A = l × w
3. C) A = l + w
4. D) A = 4l

Answer: B) A = l × w

Explanation: The area of a rectangle is given by the formula A = l × w, where l is the length and w is the width of the rectangle.

3 .What is the relationship between the length and the width of a rectangle?

1. A) They are always equal
2. B) They are sometimes equal
3. C) They are never equal
4. D) It depends on the dimensions of the rectangle

Answer: D) It depends on the dimensions of the rectangle

Explanation: The length and width of a rectangle can be equal, but they don’t have to be. In fact, a rectangle can be a square if and only if its length and width are equal.

4 .What is the formula for the diagonal of a rectangle?

1. A) d = l + w
2. B) d = 2(l + w)
3. C) d = √(l² + w²)
4. D) d = l × w

Answer: C) d = √(l² + w²)

Explanation: The diagonal of a rectangle is the hypotenuse of a right triangle whose legs are the length and width of the rectangle. We can use the Pythagorean theorem to find the length of the diagonal, which is given by d = √(l² + w²).

5 .What is the name for a rectangle whose length and width are equal?

1. A) Parallelogram
2. B) Trapezoid
3. C) Square
4. D) Rhombus

Answer: C) Square

Explanation: A rectangle whose length and width are equal is called a square.

6 .What is the name for the perpendicular lines that intersect at the corners of a rectangle?

1. A) Angles
2. B) Diagonals
3. C) Sides
4. D) None of the above

Answer: B) Diagonals

Explanation: The perpendicular lines that intersect at the corners of a rectangle are called diagonals.

7 .If a rectangle has a length of 8 cm and a width of 4 cm, what is its perimeter?

1. A) 12 cm
2. B) 16 cm
3. C) 24 cm
4. D) 32 cm

Answer: C) 24 cm

Explanation: The perimeter of a rectangle is given by the formula P = 2(l + w). Substituting l = 8 cm and w = 4 cm, we get P = 2(8 + 4) = 24 cm.

8. If a rectangle has a length of 16 cm and a diagonal of 20 cm, what is its width?
9. A) 12 cm
10. B) 13 cm
11. C) 14 cm
12. D) 15 cm

Answer: B) 12 cm

Explanation: We know that the diagonal of a rectangle is given by the formula d = √(l² + w²). We also know that the length of the rectangle is 16 cm and the diagonal is 20 cm. Solving for the width, we get w = √(d² – l²) = √(20² – 16²) = √144 = 12 cm.

9 .If a rectangle has a perimeter of 20 cm and a length of 6 cm, what is its width?

1. A) 2 cm
2. B) 3 cm
3. C) 4 cm
4. D) 5 cm

Answer: B) 3 cm

Explanation: We know that the perimeter of a rectangle is given by the formula P = 2(l + w). We also know that the length of the rectangle is 6 cm, and the perimeter is 20 cm. Solving for the width, we get w = (20 – 2(6))/2 = 4 cm.

10 .If a rectangle has a perimeter of 30 cm and a width of 5 cm, what is its length?

1. A) 5 cm
2. B) 10 cm
3. C) 15 cm
4. D) 20 cm

Answer: C) 15 cm

Explanation: We know that the perimeter of a rectangle is given by the formula P = 2(l + w). We also know that the width of the rectangle is 5 cm, and the perimeter is 30 cm. Solving for the length, we get l = (30 – 2(5))/2 = 10 cm.

11 .If the area of a rectangle is 60 cm² and its length is 10 cm, what is its width?

1. A) 3 cm
2. B) 4 cm
3. C) 5 cm
4. D) 6 cm

Answer: B) 4 cm

Explanation: We know that the area of a rectangle is given by the formula A = l × w. We also know that the length of the rectangle is 10 cm, and the area is 60 cm². Solving for the width, we get w = A/l = 60/10 = 6 cm.

12. If the area of a rectangle is 80 cm² and its width is 8 cm, what is its length?
13. A) 8 cm
14. B) 10 cm
15. C) 12 cm
16. D) 16 cm

Answer: B) 10 cm

Explanation: We know that the area of a rectangle is given by the formula A = l × w. We also know that the width of the rectangle is 8 cm, and the area is 80 cm². Solving for the length, we get l = A/w = 80/8 = 10 cm.

13 .If a rectangle has a diagonal of 10 cm and a width of 6 cm, what is its length?

1. A) 8 cm
2. B) 9 cm
3. C) 10 cm
4. D) 11 cm

Answer: A) 8 cm

Explanation: We know that the diagonal of a rectangle is given by the formula d = √(l² + w²). We also know that the width of the rectangle is 6 cm, and the diagonal is 10 cm. Solving for the length, we get l = √(d² – w²) = √(10² – 6²) = 8 cm.

14 .If a rectangle has a diagonal of 20 cm and a length of 16 cm, what is its width?

1. A) 12 cm
2. B) 15 cm
3. C) 16 cm
4. D) 18 cm

Answer: B) 15 cm

Explanation: We know that the diagonal of a rectangle is given by the formula d = √(l² + w²). We also know that the length of the rectangle is 16 cm, and the diagonal is 20 cm. Solving for the width, we get w = √(d² – l

15 .If a rectangle has a length of 12 cm and a width of 8 cm, what is its perimeter?

1. A) 16 cm
2. B) 32 cm
3. C) 40 cm
4. D) 48 cm

Answer: D) 48 cm

Explanation: We know that the perimeter of a rectangle is given by the formula P = 2(l + w). We also know that the length of the rectangle is 12 cm and the width is 8 cm. Solving for the perimeter, we get P = 2(12 + 8) = 2(20) = 40 cm.

16 .If a rectangle has a length of 15 cm and a perimeter of 54 cm, what is its width?

1. A) 6 cm
2. B) 9 cm
3. C) 12 cm
4. D) 15 cm

Answer: A) 6 cm

Explanation: We know that the perimeter of a rectangle is given by the formula P = 2(l + w). We also know that the length of the rectangle is 15 cm and the perimeter is 54 cm. Solving for the width, we get w = (54 – 2(15))/2 = 12/2 = 6 cm.

17 .If a rectangle has a width of 10 cm and a perimeter of 50 cm, what is its length?

1. A) 10 cm
2. B) 12 cm
3. C) 15 cm
4. D) 18 cm

Answer: C) 15 cm

Explanation: We know that the perimeter of a rectangle is given by the formula P = 2(l + w). We also know that the width of the rectangle is 10 cm and the perimeter is 50 cm. Solving for the length, we get l = (50 – 2(10))/2 = 30/2 = 15 cm.

18.If a rectangle has a length of 20 cm and an area of 200 cm², what is its width?

1. A) 5 cm
2. B) 8 cm
3. C) 10 cm
4. D) 12 cm

Answer: B) 8 cm

Explanation: We know that the area of a rectangle is given by the formula A = l × w. We also know that the length of the rectangle is 20 cm and the area is 200 cm². Solving for the width, we get w = A/l = 200/20 = 10 cm.

19 .If a rectangle has a width of 6 cm and an area of 72 cm², what is its length?

1. A) 6 cm
2. B) 8 cm
3. C) 10 cm
4. D) 12 cm

Answer: D) 12 cm

Explanation: We know that the area of a rectangle is given by the formula A = l × w. We also know that the width of the rectangle is 6 cm and the area is 72 cm². Solving for the length, we get l = A/w = 72/6 = 12 cm.

20 .If a rectangle has a diagonal of 13 cm and a width of 5 cm, what is its length?

1. A) 12 cm
2. B) 13 cm
3. C) 15 cm
4. D) 17 cm

Answer: C) 15 cm

Explanation: We know that the diagonal of a rectangle is given by the formula d = √(l² + w²). We also know that the width of the rectangle is 5 cm and the diagonal is 13 cm. Solving for the length, we get l = √(d² – w²) = √

21 .If a rectangle has a length of 18 cm and a diagonal of 30 cm, what is its width?

1. A) 12 cm
2. B) 16 cm
3. C) 24 cm
4. D) 26 cm

Answer: B) 16 cm

Explanation: We know that the diagonal of a rectangle is given by the formula d = √(l² + w²). We also know that the length of the rectangle is 18 cm and the diagonal is 30 cm. Solving for the width, we get w = √(d² – l²) = √(30² – 18²) = √684 = 16.49 ≈ 16 cm.

22 .If a rectangle has a length of 24 cm and a width of 9 cm, what is its area?

1. A) 72 cm²
2. B) 216 cm²
3. C) 2160 cm²
4. D) 5400 cm²

Answer: B) 216 cm²

Explanation: We know that the area of a rectangle is given by the formula A = l × w. We also know that the length of the rectangle is 24 cm and the width is 9 cm. Solving for the area, we get A = 24 × 9 = 216 cm².

23 .If a rectangle has a diagonal of 10 cm and an area of 24 cm², what is its perimeter?

1. A) 16 cm
2. B) 20 cm
3. C) 24 cm
4. D) 28 cm

Answer: D) 28 cm

Explanation: We know that the diagonal of a rectangle is given by the formula d = √(l² + w²) and the area is given by the formula A = l × w. We also know that the diagonal of the rectangle is 10 cm and the area is 24 cm². Solving for the length and width, we get l = 4 cm and w = 6 cm. The perimeter of the rectangle is given by the formula P = 2(l + w) = 2(4 + 6) = 20 cm.

24 .If a rectangle has a length of 10 cm and a width of 6 cm, what is the length of the diagonal?

1. A) 8 cm
2. B) 12 cm
3. C) 14 cm
4. D) 16 cm

Answer: B) 12 cm

Explanation: We know that the length of the diagonal of a rectangle is given by the formula d = √(l² + w²). We also know that the length of the rectangle is 10 cm and the width is 6 cm. Solving for the diagonal, we get d = √(10² + 6²) = √136 = 11.66 ≈ 12 cm.

25 .If a rectangle has a width of 18 cm and a diagonal of 30 cm, what is its length?

1. A) 18 cm
2. B) 24 cm
3. C) 27 cm
4. D) 36 cm

Answer: C) 27 cm

Explanation: We know that the diagonal of a rectangle is given by the formula d = √(l² + w²). We also know that the width of the rectangle is 18 cm and the diagonal is 30 cm. Solving for the length, we get l = √(d² – w²) = √(30² – 18²) = √684 = 26.19 ≈ 27 cm.

26 .If the perimeter of a rectangle is 40 cm and its length is 12 cm, what is its width?

1. A) 7 cm
2. B) 8 cm
3. C) 9 cm
4. D) 10 cm

Answer: B) 8 cm

Explanation: We know that the perimeter of a rectangle is given by the formula P = 2(l + w). We also know that the length of the rectangle is 12 cm and the perimeter is 40 cm. Solving for the width, we get w = (P – 2l) / 2 = (40 – 2(12)) / 2 = 8 cm.

27 .If a rectangle has a length of 16 cm and a width of 9 cm, what is the length of its diagonal?

1. A) 18 cm
2. B) 20 cm
3. C) 22 cm
4. D) 25 cm

Answer: C) 22 cm

Explanation: We know that the length of the diagonal of a rectangle is given by the formula d = √(l² + w²). We also know that the length of the rectangle is 16 cm and the width is 9 cm. Solving for the diagonal, we get d = √(16² + 9²) = √337 = 18.36 ≈ 22 cm.

28 .If a rectangle has a width of 8 cm and an area of 96 cm², what is its length?

1. A) 8 cm
2. B) 12 cm
3. C) 16 cm
4. D) 24 cm

Answer: D) 24 cm

Explanation: We know that the area of a rectangle is given by the formula A = l × w. We also know that the width of the rectangle is 8 cm and the area is 96 cm². Solving for the length, we get l = A / w = 96 / 8 = 12 cm.

29 .If a rectangle has a length of 15 cm and a diagonal of 17 cm, what is its width?

1. A) 6 cm
2. B) 8 cm
3. C) 10 cm
4. D) 12 cm

Answer: A) 6 cm

Explanation: We know that the diagonal of a rectangle is given by the formula d = √(l² + w²). We also know that the length of the rectangle is 15 cm and the diagonal is 17 cm. Solving for the width, we get w = √(d² – l²) = √(17² – 15²) = √64 = 8 ≈ 6 cm.

30 .If a rectangle has a width of 6 cm and a diagonal of 10 cm, what is its length?

1. A) 6 cm
2. B) 8 cm
3. C) 10 cm
4. D) 12 cm

Answer: B) 8 cm

Explanation: We know that the length of the diagonal of a rectangle is given by the formula d = √(l² + w²). We also know that the width of the rectangle is 6 cm and the diagonal is 10 cm. Solving for the length, we get l = √(d² – w²) = √(10² – 6²) = √64 = 8 cm.

31 .If the area of a rectangle is 48 cm² and its length is 8 cm, what is its width?

1. A) 3 cm
2. B) 4 cm
3. C) 6 cm
4. D) 12 cm

Answer: B) 4 cm

xplanation: We know that the area of a rectangle is given by the formula A = l × w. We also know that the length of the rectangle is 8 cm and the area is 48 cm². Solving for the width, we get w = A / l = 48 / 8 = 6 cm.

32 .If a rectangle has a length of 20 cm and a width of 10 cm, what is its area?

1. A) 100 cm²
2. B) 150 cm²
3. C) 200 cm²
4. D) 250 cm²

Answer: C) 200 cm²

Explanation: We know that the area of a rectangle is given by the formula A = l × w. We also know that the length of the rectangle is 20 cm and the width is 10 cm. Solving for the area, we get A = l × w = 20 × 10 = 200 cm².

33 .If a rectangle has a perimeter of 28 cm and a length of 8 cm, what is its width?

1. A) 4 cm
2. B) 5 cm
3. C) 6 cm
4. D) 7 cm

Answer: A) 4 cm

Explanation: We know that the perimeter of a rectangle is given by the formula P = 2(l + w). We also know that the length of the rectangle is 8 cm and the perimeter is 28 cm. Solving for the width, we get w = (P – 2l) / 2 = (28 – 2(8)) / 2 = 4 cm.

34. If a rectangle has a length of 6 cm and a width of 4 cm, what is the length of its diagonal?
35. A) 4 cm
36. B) 5 cm
37. C) 6 cm
38. D) 7 cm

Answer: B) 5 cm

Explanation: We know that the length of the diagonal of a rectangle is given by the formula d = √(l² + w²). We also know that the length of the rectangle is 6 cm and the width is 4 cm. Solving for the diagonal, we get d = √(6² + 4²) = √52 = 7.21 ≈ 5 cm.

35 .If a rectangle has a width of 5 cm and an area of 40 cm², what is its length?

1. A) 6 cm
2. B) 8 cm
3. C) 10 cm
4. D) 12 cm

Answer: B) 8 cm

Explanation: We know that the area of a rectangle is given by the formula A = l × w. We also know that the width of the rectangle is 5 cm and the area is 40 cm². Solving for the length, we get l = A / w = 40 / 5 = 8 cm.

36. If a rectangle has a length of 10 cm and a diagonal of 13 cm, what is its width?
37. A) 5 cm
38. B) 7 cm
39. C) 9 cm
40. D) 12 cm

Answer: A) 5 cm

Explanation: We know that the diagonal of a rectangle is given by the formula d = √(l² + w²). We also know that the length of the rectangle is 10 cm and the diagonal is 13 cm. Sol

37 .If a rectangle has a width of 8 cm and a diagonal of 17 cm, what is its length?

1. A) 9 cm
2. B) 10 cm
3. C) 11 cm
4. D) 12 cm

Answer: D) 12 cm

Explanation: We know that the diagonal of a rectangle is given by the formula d = √(l² + w²). We also know that the width of the rectangle is 8 cm and the diagonal is 17 cm. Solving for the length, we get l = √(d² – w²) = √(17² – 8²) = √225 = 15 ≈ 12 cm.

38 .If a rectangle has a length of 12 cm and a width of 6 cm, what is its perimeter?

1. A) 12 cm
2. B) 24 cm
3. C) 30 cm
4. D) 36 cm

Answer: D) 36 cm

Explanation: We know that the perimeter of a rectangle is given by the formula P = 2(l + w). We also know that the length of the rectangle is 12 cm and the width is 6 cm. Solving for the perimeter, we get P = 2(12 + 6) = 2(18) = 36 cm.

39 .If a rectangle has a diagonal of 10 cm and a width of 6 cm, what is its length?

1. A) 8 cm
2. B) 9 cm
3. C) 10 cm
4. D) 11 cm

Answer: A) 8 cm

Explanation: We know that the diagonal of a rectangle is given by the formula d = √(l² + w²). We also know that the width of the rectangle is 6 cm and the diagonal is 10 cm. Solving for the length, we get l = √(d² – w²) = √(10² – 6²) = √64 = 8 cm.

40 .If a rectangle has a length of 8 cm and a diagonal of 10 cm, what is its width?

1. A) 4 cm
2. B) 6 cm
3. C) 8 cm
4. D) 10 cm

Answer: A) 4 cm

Explanation: We know that the diagonal of a rectangle is given by the formula d = √(l² + w²). We also know that the length of the rectangle is 8 cm and the diagonal is 10 cm. Solving for the width, we get w = √(d² – l²) = √(10² – 8²) = √36 = 6 cm.

41 .If a rectangle has a width of 9 cm and an area of 63 cm², what is its length?

1. A) 5 cm
2. B) 7 cm
3. C) 9 cm
4. D) 11 cm

Answer: B) 7 cm

Explanation: We know that the area of a rectangle is given by the formula A = l × w. We also know that the width of the rectangle is 9 cm and the area is 63 cm². Solving for the length, we get l = A / w = 63 / 9 = 7 cm.

42 .If the length of a rectangle is twice its width and its perimeter is 36 cm, what is its area?

1. A) 16 cm²
2. B) 24 cm²
3. C) 36 cm²
4. D) 48 cm²

Answer: B) 24 cm²

Explanation: Let’s use algebra to solve this problem. Let x be the width of the rectangle. Then the length is 2x. The perimeter is 2(l + w) = 2(2x + x) = 6x, which is given as 36 cm. Solving for x, we get x = 6 cm. Therefore, the length is 2x = 12 cm. The area is A = l × w = 12 × 6 = 72 cm².

43 .If a rectangle has a length of 10 cm and a width of 4 cm, what is its diagonal?

1. A) 6 cm
2. B) 8 cm
3. C) 10 cm
4. D) 12 cm

Answer: B) 8 cm

Explanation: We know that the diagonal of a rectangle is given by the formula d = √(l² + w²). We also know that the length of the rectangle is 10 cm and the width is 4 cm. Solving for the diagonal, we get d = √(10² + 4²) = √116 ≈ 10.77 ≈ 8 cm.

44 .If a rectangle has a width of 10 cm and a diagonal of 26 cm, what is its length?

1. A) 16 cm
2. B) 18 cm
3. C) 20 cm
4. D) 22 cm

Answer: C) 20 cm

Explanation: We know that the diagonal of a rectangle is given by the formula d = √(l² + w²). We also know that the width of the rectangle is 10 cm and the diagonal is 26 cm. Solving for the length, we get l = √(d² – w²) = √(26² – 10²) = √576 = 24 ≈ 20 cm.

45 .If a rectangle has a length of 12 cm and a width of 8 cm, what is its area?

1. A) 20 cm²
2. B) 72 cm²
3. C) 84 cm²
4. D) 96 cm²

Answer: B) 96 cm²

Explanation: We know that the area of a rectangle is given by the formula A = l × w. We also know that the length of the rectangle is 12 cm and the width is 8 cm. Solving for the area, we get A = 12 × 8 = 96 cm².

46 .If a rectangle has a length of 5 cm and an area of 45 cm², what is its width?

1. A) 7 cm
2. B) 8 cm
3. C) 9 cm
4. D) 10 cm

Answer: C) 9 cm

Explanation: We know that the area of a rectangle is given by the formula A = l × w. We also know that the length of the rectangle is 5 cm and the area is 45 cm². Solving for the width, we get w = A / l = 45 / 5 = 9 cm.

47. If a rectangle has an area of 48 cm² and a length of 12 cm, what is its width?
48. A) 2 cm
49. B) 3 cm
50. C) 4 cm
51. D) 6 cm

Answer: B) 4 cm

Explanation: We know that the area of a rectangle is given by the formula A = l × w. We also know that the length of the rectangle is 12 cm and the area is 48 cm². Solving for the width, we get w = A / l = 48 / 12 = 4 cm.

48 .If a rectangle has a width of 5 cm and an area of 40 cm², what is its length?

1. A) 6 cm
2. B) 8 cm
3. C) 10 cm
4. D) 12 cm

Answer: D) 12 cm

Explanation: We know that the area of a rectangle is given by the formula A = l × w. We also know that the width of the rectangle is 5 cm and the area is 40 cm². Solving for the length, we get l = A / w = 40 / 5 = 8 cm.

49 .If a rectangle has a length of 9 cm and a diagonal of 15 cm, what is its width?

1. A) 6 cm
2. B) 8 cm
3. C) 10 cm
4. D) 12 cm

Answer: A) 6 cm

Explanation: We know that the diagonal of a rectangle is given by the formula d = √(l² + w²). We also know that the length of the rectangle is 9 cm and the diagonal is 15 cm. Solving for the width, we get w = √(d² – l²) = √(15² – 9²) = √144 = 12 ≈ 6 cm.

50 .If a rectangle has a length of 18 cm and a width of 5 cm, what is its area?

1. A) 80 cm²
2. B) 85 cm²
3. C) 90 cm²
4. D) 100 cm²

Answer: C) 90 cm²

Explanation: We know that the area of a rectangle is given by the formula A = l × w. We also know that the length of the rectangle is 18 cm and the width is 5 cm. Solving for the area, we get A = 18 × 5 = 90 cm².

51 . If a rectangle has a length of 7 cm and a width of 6 cm, what is its perimeter?

1. A) 12 cm
2. B) 20 cm
3. C) 24 cm
4. D) 30 cm

Answer: C) 26 cm

Explanation: We know that the perimeter of a rectangle is given by the formula P = 2(l + w). We also know that the length of the rectangle is 7 cm and the width is 6 cm. Sol