Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 458 · 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 square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 196 sq cm (c) 225 sq cm (d) 28 sq cm
2. 2.A rectangle is 13 cm long and 3 cm wide. What is its perimeter? (a) 16 cm (b) 39 cm (c) 29 cm (d) 32 cm
3. 3.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 13 sq cm (b) 40 sq cm (c) 30 sq cm (d) 26 sq cm
4. 4.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 16 cm (b) 8 cm (c) 9 cm (d) 77 cm
5. 5.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 80 sq cm (b) 34 sq cm (c) 17 sq cm (d) 70 sq cm
6. 6.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 8 cm (b) 16 cm (c) 119 cm (d) 9 cm
7. 7.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 36 sq cm (c) 24 sq cm (d) 49 sq cm
8. 8.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 21 sq cm (b) 104 sq cm (c) 117 sq cm (d) 42 sq cm
9. 9.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 26 cm (b) 34 cm (c) 72 cm (d) 17 cm
10. 10.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 18 sq cm (c) 12 sq cm (d) 16 sq cm
11. 11.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 22 cm (b) 11 cm (c) 30 cm (d) 17 cm
12. 12.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 100 sq cm (c) 40 sq cm (d) 121 sq cm
13. 13.A rectangle has an area of 144 sq cm and a length of 16 cm. What is its width? (a) 10 cm (b) 18 cm (c) 128 cm (d) 9 cm
14. 14.A rectangle is 11 cm long and 9 cm wide. What is its perimeter? (a) 31 cm (b) 20 cm (c) 40 cm (d) 99 cm
15. 15.A rectangle has an area of 114 sq cm and a length of 19 cm. What is its width? (a) 6 cm (b) 95 cm (c) 12 cm (d) 7 cm
16. 16.A rectangle is 15 cm long and 9 cm wide. What is its perimeter? (a) 48 cm (b) 135 cm (c) 24 cm (d) 39 cm
17. 17.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 13 sq cm (b) 48 sq cm (c) 40 sq cm (d) 26 sq cm
18. 18.A rectangle is 19 cm long and 7 cm wide. What is its perimeter? (a) 45 cm (b) 133 cm (c) 52 cm (d) 26 cm
19. 19.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 49 sq cm (b) 26 sq cm (c) 42 sq cm (d) 13 sq cm
20. 20.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 63 sq cm (b) 15 sq cm (c) 30 sq cm (d) 54 sq cm
21. 21.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 21 sq cm (b) 38 sq cm (c) 57 sq cm (d) 42 sq cm
22. 22.A rectangle is 13 cm long and 9 cm wide. What is its perimeter? (a) 35 cm (b) 117 cm (c) 44 cm (d) 22 cm
23. 23.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 81 sq cm (d) 64 sq cm
24. 24.A rectangle has an area of 160 sq cm and a length of 20 cm. What is its width? (a) 16 cm (b) 140 cm (c) 9 cm (d) 8 cm
25. 25.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 23 sq cm (b) 95 sq cm (c) 76 sq cm (d) 46 sq cm
26. 26.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 25 sq cm (c) 20 sq cm (d) 36 sq cm
27. 27.A rectangle is 15 cm long and 4 cm wide. What is its area? (a) 60 sq cm (b) 19 sq cm (c) 38 sq cm (d) 75 sq cm
28. 28.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 26 sq cm (b) 22 sq cm (c) 13 sq cm (d) 33 sq cm
29. 29.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 44 sq cm (b) 132 sq cm (c) 120 sq cm (d) 22 sq cm
30. 30.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 108 cm (b) 20 cm (c) 11 cm (d) 10 cm
31. 31.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 11 cm (b) 135 cm (c) 20 cm (d) 10 cm
32. 32.A rectangle is 12 cm long and 8 cm wide. What is its perimeter? (a) 20 cm (b) 32 cm (c) 40 cm (d) 96 cm
33. 33.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
34. 34.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 18 cm (c) 9 cm (d) 14 cm
35. 35.A rectangle is 19 cm long and 3 cm wide. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 57 sq cm (d) 76 sq cm
36. 36.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 256 sq cm (d) 225 sq cm
37. 37.A rectangle is 15 cm long and 5 cm wide. What is its area? (a) 40 sq cm (b) 90 sq cm (c) 75 sq cm (d) 20 sq cm
38. 38.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 120 sq cm (b) 21 sq cm (c) 42 sq cm (d) 108 sq cm
39. 39.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 15 cm (b) 8 cm (c) 5 cm (d) 4 cm
40. 40.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 144 sq cm (c) 169 sq cm (d) 24 sq cm

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