Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 460 · 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) 28 sq cm (b) 196 sq cm (c) 225 sq cm (d) 56 sq cm
2. 2.A rectangle is 18 cm long and 11 cm wide. What is its area? (a) 58 sq cm (b) 29 sq cm (c) 216 sq cm (d) 198 sq cm
3. 3.A rectangle is 20 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 40 sq cm (c) 60 sq cm (d) 44 sq cm
4. 4.A rectangle has an area of 171 sq cm and a length of 19 cm. What is its width? (a) 9 cm (b) 18 cm (c) 152 cm (d) 10 cm
5. 5.A rectangle is 16 cm long and 12 cm wide. What is its area? (a) 56 sq cm (b) 208 sq cm (c) 192 sq cm (d) 28 sq cm
6. 6.A rectangle is 13 cm long and 10 cm wide. What is its area? (a) 23 sq cm (b) 130 sq cm (c) 143 sq cm (d) 46 sq cm
7. 7.A rectangle is 12 cm long and 5 cm wide. What is its area? (a) 17 sq cm (b) 60 sq cm (c) 72 sq cm (d) 34 sq cm
8. 8.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 196 sq cm (c) 169 sq cm (d) 52 sq cm
9. 9.A rectangle is 16 cm long and 7 cm wide. What is its area? (a) 46 sq cm (b) 23 sq cm (c) 128 sq cm (d) 112 sq cm
10. 10.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
11. 11.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 22 sq cm (b) 35 sq cm (c) 11 sq cm (d) 28 sq cm
12. 12.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 63 sq cm (b) 16 sq cm (c) 32 sq cm (d) 72 sq cm
13. 13.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
14. 14.A rectangle has an area of 38 sq cm and a length of 19 cm. What is its width? (a) 2 cm (b) 19 cm (c) 4 cm (d) 3 cm
15. 15.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 11 cm (b) 30 cm (c) 22 cm (d) 17 cm
16. 16.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 10 cm (c) 20 cm (d) 17 cm
17. 17.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 9 cm (b) 8 cm (c) 16 cm (d) 119 cm
18. 18.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 100 sq cm (d) 81 sq cm
19. 19.A rectangle is 11 cm long and 5 cm wide. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 55 sq cm (d) 66 sq cm
20. 20.A rectangle is 14 cm long and 5 cm wide. What is its area? (a) 19 sq cm (b) 38 sq cm (c) 84 sq cm (d) 70 sq cm
21. 21.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 40 cm (c) 14 cm (d) 24 cm
22. 22.A rectangle has an area of 8 sq cm and a length of 4 cm. What is its width? (a) 3 cm (b) 1 cm (c) 2 cm (d) 4 cm
23. 23.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 13 cm (b) 20 cm (c) 26 cm (d) 42 cm
24. 24.A rectangle has an area of 36 sq cm and a length of 18 cm. What is its width? (a) 2 cm (b) 18 cm (c) 3 cm (d) 4 cm
25. 25.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 144 sq cm (c) 48 sq cm (d) 24 sq cm
26. 26.A rectangle has an area of 70 sq cm and a length of 14 cm. What is its width? (a) 56 cm (b) 10 cm (c) 5 cm (d) 6 cm
27. 27.A rectangle is 17 cm long and 3 cm wide. What is its perimeter? (a) 20 cm (b) 37 cm (c) 51 cm (d) 40 cm
28. 28.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 11 cm (b) 22 cm (c) 24 cm (d) 19 cm
29. 29.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 44 sq cm (c) 22 sq cm (d) 144 sq cm
30. 30.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 11 sq cm (c) 18 sq cm (d) 27 sq cm
31. 31.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 22 cm (b) 12 cm (c) 160 cm (d) 11 cm
32. 32.A rectangle is 19 cm long and 6 cm wide. What is its perimeter? (a) 25 cm (b) 114 cm (c) 44 cm (d) 50 cm
33. 33.A rectangle is 14 cm long and 10 cm wide. What is its area? (a) 140 sq cm (b) 48 sq cm (c) 24 sq cm (d) 154 sq cm
34. 34.A rectangle has an area of 126 sq cm and a length of 14 cm. What is its width? (a) 9 cm (b) 10 cm (c) 18 cm (d) 112 cm
35. 35.A rectangle is 12 cm long and 10 cm wide. What is its perimeter? (a) 22 cm (b) 44 cm (c) 120 cm (d) 34 cm
36. 36.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 20 cm (c) 12 cm (d) 32 cm
37. 37.A rectangle has an area of 6 sq cm and a length of 3 cm. What is its width? (a) 3 cm (b) 4 cm (c) 2 cm (d) 1 cm
38. 38.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 13 cm (b) 12 cm (c) 24 cm (d) 187 cm
39. 39.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 49 sq cm (c) 36 sq cm (d) 12 sq cm
40. 40.A rectangle has an area of 160 sq cm and a length of 16 cm. What is its width? (a) 11 cm (b) 20 cm (c) 144 cm (d) 10 cm

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