Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 55 · 40 questions

How to solve it (Round or inside?): Rectangle: perimeter = 2 × (length + width); area = length × width. Square: perimeter = 4 × side; area = side × side. From the perimeter, side = perimeter ÷ 4. Missing side: width = area ÷ length.

1. 1.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 11 cm (b) 126 cm (c) 10 cm (d) 20 cm
2. 2.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 8 cm (b) 16 cm (c) 63 cm (d) 9 cm
3. 3.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 144 sq cm (c) 121 sq cm (d) 44 sq cm
4. 4.A rectangle has an area of 91 sq cm and a length of 13 cm. What is its width? (a) 8 cm (b) 7 cm (c) 78 cm (d) 14 cm
5. 5.A rectangle is 13 cm long and 6 cm wide. What is its perimeter? (a) 32 cm (b) 78 cm (c) 19 cm (d) 38 cm
6. 6.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 42 sq cm (b) 110 sq cm (c) 21 sq cm (d) 121 sq cm
7. 7.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 36 sq cm (c) 30 sq cm (d) 11 sq cm
8. 8.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 169 sq cm (c) 196 sq cm (d) 52 sq cm
9. 9.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 21 sq cm (b) 28 sq cm (c) 10 sq cm (d) 20 sq cm
10. 10.A rectangle is 13 cm long and 8 cm wide. What is its perimeter? (a) 21 cm (b) 104 cm (c) 34 cm (d) 42 cm
11. 11.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 49 sq cm (c) 12 sq cm (d) 36 sq cm
12. 12.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 144 sq cm (d) 169 sq cm
13. 13.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 20 cm (c) 10 cm (d) 17 cm
14. 14.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 45 cm (b) 14 cm (c) 28 cm (d) 23 cm
15. 15.A rectangle is 15 cm long and 10 cm wide. What is its perimeter? (a) 40 cm (b) 50 cm (c) 25 cm (d) 150 cm
16. 16.A rectangle has an area of 48 sq cm and a length of 16 cm. What is its width? (a) 32 cm (b) 6 cm (c) 3 cm (d) 4 cm
17. 17.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 9 cm (c) 16 cm (d) 14 cm
18. 18.A rectangle is 19 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 114 sq cm (c) 95 sq cm (d) 48 sq cm
19. 19.A rectangle is 20 cm long and 6 cm wide. What is its perimeter? (a) 26 cm (b) 46 cm (c) 120 cm (d) 52 cm
20. 20.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 25 cm (b) 50 cm (c) 15 cm (d) 30 cm
21. 21.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 49 sq cm (c) 14 sq cm (d) 64 sq cm
22. 22.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 32 sq cm (b) 72 sq cm (c) 16 sq cm (d) 63 sq cm
23. 23.A rectangle is 17 cm long and 6 cm wide. What is its area? (a) 46 sq cm (b) 23 sq cm (c) 119 sq cm (d) 102 sq cm
24. 24.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 36 sq cm (d) 25 sq cm
25. 25.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 20 cm (b) 26 cm (c) 42 cm (d) 13 cm
26. 26.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 14 cm (b) 60 cm (c) 8 cm (d) 7 cm
27. 27.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its width? (a) 6 cm (b) 4 cm (c) 24 cm (d) 3 cm
28. 28.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 12 cm (b) 24 cm (c) 20 cm (d) 32 cm
29. 29.A rectangle has an area of 190 sq cm and a length of 19 cm. What is its width? (a) 11 cm (b) 171 cm (c) 10 cm (d) 20 cm
30. 30.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 98 cm (b) 16 cm (c) 9 cm (d) 8 cm
31. 31.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 256 sq cm (d) 225 sq cm
32. 32.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 10 cm (b) 9 cm (c) 18 cm (d) 104 cm
33. 33.A rectangle has an area of 135 sq cm and a length of 15 cm. What is its width? (a) 120 cm (b) 10 cm (c) 9 cm (d) 18 cm
34. 34.A rectangle has an area of 40 sq cm and a length of 20 cm. What is its width? (a) 3 cm (b) 20 cm (c) 2 cm (d) 4 cm
35. 35.A rectangle has an area of 66 sq cm and a length of 11 cm. What is its width? (a) 55 cm (b) 7 cm (c) 6 cm (d) 12 cm
36. 36.A rectangle has an area of 68 sq cm and a length of 17 cm. What is its width? (a) 4 cm (b) 5 cm (c) 8 cm (d) 51 cm
37. 37.A rectangle is 14 cm long and 3 cm wide. What is its perimeter? (a) 42 cm (b) 17 cm (c) 34 cm (d) 31 cm
38. 38.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 11 cm (b) 28 cm (c) 18 cm (d) 22 cm
39. 39.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 16 cm (b) 63 cm (c) 25 cm (d) 32 cm
40. 40.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 18 sq cm (c) 27 sq cm (d) 11 sq cm

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