Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 592 · 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 36 cm. What is its area? (a) 81 sq cm (b) 36 sq cm (c) 18 sq cm (d) 100 sq cm
2. 2.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 16 cm (b) 9 cm (c) 63 cm (d) 8 cm
3. 3.A rectangle has an area of 54 sq cm and a length of 9 cm. What is its width? (a) 6 cm (b) 45 cm (c) 12 cm (d) 7 cm
4. 4.A rectangle is 14 cm long and 4 cm wide. What is its area? (a) 18 sq cm (b) 56 sq cm (c) 36 sq cm (d) 70 sq cm
5. 5.A rectangle is 14 cm long and 2 cm wide. What is its perimeter? (a) 30 cm (b) 32 cm (c) 28 cm (d) 16 cm
6. 6.A rectangle has an area of 32 sq cm and a length of 8 cm. What is its width? (a) 8 cm (b) 4 cm (c) 5 cm (d) 24 cm
7. 7.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 121 sq cm (d) 100 sq cm
8. 8.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 49 sq cm (c) 36 sq cm (d) 24 sq cm
9. 9.A rectangle has an area of 135 sq cm and a length of 15 cm. What is its width? (a) 9 cm (b) 120 cm (c) 18 cm (d) 10 cm
10. 10.A rectangle is 11 cm long and 4 cm wide. What is its perimeter? (a) 30 cm (b) 15 cm (c) 44 cm (d) 26 cm
11. 11.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 25 sq cm (c) 20 sq cm (d) 10 sq cm
12. 12.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 15 sq cm (b) 30 sq cm (c) 64 sq cm (d) 56 sq cm
13. 13.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 99 sq cm (b) 40 sq cm (c) 20 sq cm (d) 110 sq cm
14. 14.A rectangle is 16 cm long and 10 cm wide. What is its perimeter? (a) 26 cm (b) 160 cm (c) 52 cm (d) 42 cm
15. 15.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 187 cm (b) 24 cm (c) 13 cm (d) 12 cm
16. 16.A rectangle is 18 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 42 cm (c) 54 cm (d) 39 cm
17. 17.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 13 cm (b) 24 cm (c) 12 cm (d) 209 cm
18. 18.A rectangle is 19 cm long and 12 cm wide. What is its perimeter? (a) 31 cm (b) 228 cm (c) 50 cm (d) 62 cm
19. 19.A rectangle is 12 cm long and 10 cm wide. What is its perimeter? (a) 120 cm (b) 22 cm (c) 44 cm (d) 34 cm
20. 20.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 45 cm (b) 28 cm (c) 23 cm (d) 14 cm
21. 21.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 121 sq cm (d) 144 sq cm
22. 22.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 11 cm (b) 20 cm (c) 108 cm (d) 10 cm
23. 23.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 225 sq cm (d) 256 sq cm
24. 24.A rectangle has an area of 102 sq cm and a length of 17 cm. What is its width? (a) 7 cm (b) 85 cm (c) 12 cm (d) 6 cm
25. 25.A rectangle is 13 cm long and 12 cm wide. What is its area? (a) 50 sq cm (b) 25 sq cm (c) 169 sq cm (d) 156 sq cm
26. 26.A rectangle is 15 cm long and 11 cm wide. What is its area? (a) 26 sq cm (b) 180 sq cm (c) 52 sq cm (d) 165 sq cm
27. 27.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 16 sq cm (b) 70 sq cm (c) 32 sq cm (d) 60 sq cm
28. 28.A rectangle is 14 cm long and 11 cm wide. What is its perimeter? (a) 25 cm (b) 39 cm (c) 154 cm (d) 50 cm
29. 29.A rectangle is 20 cm long and 2 cm wide. What is its perimeter? (a) 42 cm (b) 40 cm (c) 44 cm (d) 22 cm
30. 30.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 64 sq cm (b) 20 sq cm (c) 40 sq cm (d) 80 sq cm
31. 31.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 26 cm (b) 13 cm (c) 42 cm (d) 20 cm
32. 32.A rectangle is 18 cm long and 2 cm wide. What is its area? (a) 40 sq cm (b) 54 sq cm (c) 36 sq cm (d) 20 sq cm
33. 33.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 56 cm (b) 15 cm (c) 23 cm (d) 30 cm
34. 34.A rectangle is 16 cm long and 4 cm wide. What is its perimeter? (a) 64 cm (b) 20 cm (c) 40 cm (d) 36 cm
35. 35.A rectangle has an area of 30 sq cm and a length of 15 cm. What is its width? (a) 15 cm (b) 3 cm (c) 4 cm (d) 2 cm
36. 36.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 28 sq cm (c) 225 sq cm (d) 56 sq cm
37. 37.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 17 sq cm (b) 70 sq cm (c) 80 sq cm (d) 34 sq cm
38. 38.A rectangle has an area of 57 sq cm and a length of 19 cm. What is its width? (a) 3 cm (b) 6 cm (c) 4 cm (d) 38 cm
39. 39.A rectangle is 16 cm long and 12 cm wide. What is its perimeter? (a) 28 cm (b) 56 cm (c) 192 cm (d) 44 cm
40. 40.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 64 sq cm (c) 14 sq cm (d) 28 sq cm

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