Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 408 · 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 60 cm. What is its area? (a) 256 sq cm (b) 60 sq cm (c) 225 sq cm (d) 30 sq cm
2. 2.A rectangle is 12 cm long and 6 cm wide. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 84 sq cm (d) 72 sq cm
3. 3.A rectangle has an area of 144 sq cm and a length of 16 cm. What is its width? (a) 18 cm (b) 10 cm (c) 9 cm (d) 128 cm
4. 4.A rectangle is 17 cm long and 2 cm wide. What is its perimeter? (a) 38 cm (b) 36 cm (c) 19 cm (d) 34 cm
5. 5.A rectangle has an area of 6 sq cm and a length of 3 cm. What is its width? (a) 4 cm (b) 1 cm (c) 3 cm (d) 2 cm
6. 6.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 121 sq cm (d) 100 sq cm
7. 7.A rectangle has an area of 10 sq cm and a length of 5 cm. What is its width? (a) 5 cm (b) 3 cm (c) 2 cm (d) 4 cm
8. 8.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 81 sq cm (d) 100 sq cm
9. 9.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 27 sq cm (b) 11 sq cm (c) 18 sq cm (d) 22 sq cm
10. 10.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 12 cm (b) 11 cm (c) 170 cm (d) 22 cm
11. 11.A rectangle has an area of 100 sq cm and a length of 20 cm. What is its width? (a) 10 cm (b) 6 cm (c) 80 cm (d) 5 cm
12. 12.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
13. 13.A rectangle is 18 cm long and 2 cm wide. What is its perimeter? (a) 36 cm (b) 20 cm (c) 40 cm (d) 38 cm
14. 14.A rectangle is 16 cm long and 11 cm wide. What is its perimeter? (a) 176 cm (b) 54 cm (c) 43 cm (d) 27 cm
15. 15.A rectangle has an area of 162 sq cm and a length of 18 cm. What is its width? (a) 10 cm (b) 18 cm (c) 9 cm (d) 144 cm
16. 16.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 8 cm (b) 77 cm (c) 9 cm (d) 16 cm
17. 17.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 26 sq cm (b) 49 sq cm (c) 42 sq cm (d) 13 sq cm
18. 18.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 9 cm (c) 14 cm (d) 16 cm
19. 19.A rectangle is 17 cm long and 9 cm wide. What is its perimeter? (a) 43 cm (b) 52 cm (c) 26 cm (d) 153 cm
20. 20.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 16 sq cm (b) 63 sq cm (c) 32 sq cm (d) 72 sq cm
21. 21.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 60 cm (b) 8 cm (c) 14 cm (d) 7 cm
22. 22.A rectangle is 18 cm long and 3 cm wide. What is its perimeter? (a) 39 cm (b) 42 cm (c) 21 cm (d) 54 cm
23. 23.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 196 sq cm (c) 56 sq cm (d) 225 sq cm
24. 24.A rectangle has an area of 72 sq cm and a length of 12 cm. What is its width? (a) 6 cm (b) 12 cm (c) 7 cm (d) 60 cm
25. 25.A rectangle is 15 cm long and 12 cm wide. What is its area? (a) 54 sq cm (b) 195 sq cm (c) 27 sq cm (d) 180 sq cm
26. 26.A rectangle is 15 cm long and 10 cm wide. What is its area? (a) 25 sq cm (b) 150 sq cm (c) 165 sq cm (d) 50 sq cm
27. 27.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 26 sq cm (b) 40 sq cm (c) 48 sq cm (d) 13 sq cm
28. 28.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 12 cm (b) 7 cm (c) 6 cm (d) 100 cm
29. 29.A rectangle is 17 cm long and 5 cm wide. What is its perimeter? (a) 39 cm (b) 85 cm (c) 22 cm (d) 44 cm
30. 30.A rectangle is 14 cm long and 3 cm wide. What is its perimeter? (a) 31 cm (b) 42 cm (c) 17 cm (d) 34 cm
31. 31.A rectangle is 19 cm long and 11 cm wide. What is its area? (a) 228 sq cm (b) 209 sq cm (c) 30 sq cm (d) 60 sq cm
32. 32.A rectangle is 11 cm long and 8 cm wide. What is its area? (a) 99 sq cm (b) 19 sq cm (c) 88 sq cm (d) 38 sq cm
33. 33.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 64 sq cm (c) 49 sq cm (d) 28 sq cm
34. 34.A rectangle is 15 cm long and 8 cm wide. What is its area? (a) 120 sq cm (b) 135 sq cm (c) 23 sq cm (d) 46 sq cm
35. 35.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 169 sq cm (d) 144 sq cm
36. 36.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 64 sq cm (d) 81 sq cm
37. 37.A rectangle has an area of 76 sq cm and a length of 19 cm. What is its width? (a) 4 cm (b) 8 cm (c) 5 cm (d) 57 cm
38. 38.A rectangle has an area of 16 sq cm and a length of 8 cm. What is its width? (a) 4 cm (b) 8 cm (c) 3 cm (d) 2 cm
39. 39.A rectangle is 15 cm long and 7 cm wide. What is its area? (a) 22 sq cm (b) 105 sq cm (c) 120 sq cm (d) 44 sq cm
40. 40.A rectangle is 18 cm long and 6 cm wide. What is its area? (a) 48 sq cm (b) 108 sq cm (c) 126 sq cm (d) 24 sq cm

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