Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 617 · 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) 225 sq cm (c) 196 sq cm (d) 28 sq cm
2. 2.A rectangle is 16 cm long and 9 cm wide. What is its area? (a) 160 sq cm (b) 25 sq cm (c) 144 sq cm (d) 50 sq cm
3. 3.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 11 sq cm (b) 24 sq cm (c) 22 sq cm (d) 32 sq cm
4. 4.A rectangle is 12 cm long and 6 cm wide. What is its area? (a) 18 sq cm (b) 72 sq cm (c) 84 sq cm (d) 36 sq cm
5. 5.A rectangle is 18 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 54 sq cm (c) 40 sq cm (d) 36 sq cm
6. 6.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 88 cm (b) 9 cm (c) 18 cm (d) 10 cm
7. 7.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 60 sq cm (c) 18 sq cm (d) 45 sq cm
8. 8.A rectangle has an area of 91 sq cm and a length of 13 cm. What is its width? (a) 78 cm (b) 8 cm (c) 7 cm (d) 14 cm
9. 9.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 225 sq cm (c) 256 sq cm (d) 60 sq cm
10. 10.A rectangle has an area of 126 sq cm and a length of 14 cm. What is its width? (a) 18 cm (b) 112 cm (c) 9 cm (d) 10 cm
11. 11.A rectangle is 17 cm long and 10 cm wide. What is its perimeter? (a) 54 cm (b) 27 cm (c) 44 cm (d) 170 cm
12. 12.A rectangle has an area of 68 sq cm and a length of 17 cm. What is its width? (a) 5 cm (b) 4 cm (c) 8 cm (d) 51 cm
13. 13.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 30 sq cm (b) 64 sq cm (c) 15 sq cm (d) 56 sq cm
14. 14.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 100 sq cm (c) 81 sq cm (d) 36 sq cm
15. 15.A rectangle is 13 cm long and 3 cm wide. What is its area? (a) 39 sq cm (b) 52 sq cm (c) 32 sq cm (d) 16 sq cm
16. 16.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 16 cm (c) 18 cm (d) 10 cm
17. 17.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 20 sq cm (c) 40 sq cm (d) 121 sq cm
18. 18.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 21 sq cm (b) 42 sq cm (c) 68 sq cm (d) 85 sq cm
19. 19.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 52 sq cm (c) 196 sq cm (d) 26 sq cm
20. 20.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 10 cm (b) 99 cm (c) 11 cm (d) 20 cm
21. 21.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 12 sq cm (c) 24 sq cm (d) 30 sq cm
22. 22.A rectangle is 17 cm long and 9 cm wide. What is its area? (a) 26 sq cm (b) 170 sq cm (c) 153 sq cm (d) 52 sq cm
23. 23.A rectangle has an area of 45 sq cm and a length of 15 cm. What is its width? (a) 30 cm (b) 6 cm (c) 4 cm (d) 3 cm
24. 24.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 25 sq cm (c) 36 sq cm (d) 20 sq cm
25. 25.A rectangle is 14 cm long and 8 cm wide. What is its area? (a) 112 sq cm (b) 44 sq cm (c) 126 sq cm (d) 22 sq cm
26. 26.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 14 sq cm (c) 28 sq cm (d) 64 sq cm
27. 27.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 8 cm (c) 14 cm (d) 16 cm
28. 28.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 12 sq cm (c) 24 sq cm (d) 36 sq cm
29. 29.A rectangle is 19 cm long and 12 cm wide. What is its area? (a) 247 sq cm (b) 31 sq cm (c) 228 sq cm (d) 62 sq cm
30. 30.A rectangle is 12 cm long and 3 cm wide. What is its perimeter? (a) 30 cm (b) 36 cm (c) 27 cm (d) 15 cm
31. 31.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 12 cm (c) 22 cm (d) 24 cm
32. 32.A rectangle is 14 cm long and 2 cm wide. What is its area? (a) 42 sq cm (b) 32 sq cm (c) 16 sq cm (d) 28 sq cm
33. 33.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 21 cm (b) 13 cm (c) 40 cm (d) 26 cm
34. 34.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
35. 35.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 30 sq cm (b) 15 sq cm (c) 54 sq cm (d) 63 sq cm
36. 36.A rectangle is 20 cm long and 2 cm wide. What is its perimeter? (a) 40 cm (b) 22 cm (c) 42 cm (d) 44 cm
37. 37.A rectangle is 15 cm long and 12 cm wide. What is its perimeter? (a) 42 cm (b) 54 cm (c) 27 cm (d) 180 cm
38. 38.A rectangle has an area of 160 sq cm and a length of 16 cm. What is its width? (a) 10 cm (b) 20 cm (c) 11 cm (d) 144 cm
39. 39.A rectangle is 11 cm long and 6 cm wide. What is its perimeter? (a) 66 cm (b) 17 cm (c) 28 cm (d) 34 cm
40. 40.A rectangle is 20 cm long and 6 cm wide. What is its area? (a) 26 sq cm (b) 120 sq cm (c) 52 sq cm (d) 140 sq cm

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