Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 150 · 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 28 cm. What is its area? (a) 14 sq cm (b) 64 sq cm (c) 49 sq cm (d) 28 sq cm
2. 2.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 25 sq cm (c) 36 sq cm (d) 10 sq cm
3. 3.A rectangle has an area of 45 sq cm and a length of 15 cm. What is its width? (a) 6 cm (b) 3 cm (c) 4 cm (d) 30 cm
4. 4.A rectangle is 20 cm long and 11 cm wide. What is its perimeter? (a) 31 cm (b) 220 cm (c) 51 cm (d) 62 cm
5. 5.A rectangle has an area of 84 sq cm and a length of 12 cm. What is its width? (a) 8 cm (b) 72 cm (c) 14 cm (d) 7 cm
6. 6.A rectangle is 15 cm long and 12 cm wide. What is its perimeter? (a) 27 cm (b) 54 cm (c) 42 cm (d) 180 cm
7. 7.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 49 sq cm (d) 36 sq cm
8. 8.A rectangle has an area of 90 sq cm and a length of 18 cm. What is its width? (a) 5 cm (b) 10 cm (c) 72 cm (d) 6 cm
9. 9.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 14 cm (b) 45 cm (c) 23 cm (d) 28 cm
10. 10.A rectangle is 18 cm long and 2 cm wide. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 36 sq cm (d) 54 sq cm
11. 11.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 16 cm (c) 14 cm (d) 8 cm
12. 12.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 169 sq cm (c) 48 sq cm (d) 144 sq cm
13. 13.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 35 sq cm (d) 42 sq cm
14. 14.A rectangle is 17 cm long and 7 cm wide. What is its perimeter? (a) 119 cm (b) 24 cm (c) 48 cm (d) 41 cm
15. 15.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 81 sq cm (c) 36 sq cm (d) 18 sq cm
16. 16.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 10 sq cm (b) 28 sq cm (c) 20 sq cm (d) 21 sq cm
17. 17.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its width? (a) 4 cm (b) 8 cm (c) 5 cm (d) 27 cm
18. 18.A rectangle is 14 cm long and 4 cm wide. What is its area? (a) 18 sq cm (b) 56 sq cm (c) 70 sq cm (d) 36 sq cm
19. 19.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 104 sq cm (b) 21 sq cm (c) 42 sq cm (d) 117 sq cm
20. 20.A rectangle has an area of 63 sq cm and a length of 9 cm. What is its width? (a) 54 cm (b) 14 cm (c) 7 cm (d) 8 cm
21. 21.A rectangle is 20 cm long and 8 cm wide. What is its area? (a) 28 sq cm (b) 160 sq cm (c) 180 sq cm (d) 56 sq cm
22. 22.A rectangle is 17 cm long and 11 cm wide. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 187 sq cm (d) 204 sq cm
23. 23.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 170 cm (b) 22 cm (c) 11 cm (d) 12 cm
24. 24.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 12 cm (b) 24 cm (c) 176 cm (d) 13 cm
25. 25.A rectangle has an area of 28 sq cm and a length of 14 cm. What is its width? (a) 3 cm (b) 14 cm (c) 2 cm (d) 4 cm
26. 26.A rectangle has an area of 54 sq cm and a length of 9 cm. What is its width? (a) 45 cm (b) 6 cm (c) 7 cm (d) 12 cm
27. 27.A rectangle has an area of 152 sq cm and a length of 19 cm. What is its width? (a) 133 cm (b) 16 cm (c) 9 cm (d) 8 cm
28. 28.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 121 sq cm (d) 144 sq cm
29. 29.A rectangle is 13 cm long and 3 cm wide. What is its perimeter? (a) 16 cm (b) 39 cm (c) 32 cm (d) 29 cm
30. 30.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 60 sq cm (b) 32 sq cm (c) 48 sq cm (d) 16 sq cm
31. 31.A rectangle is 16 cm long and 12 cm wide. What is its perimeter? (a) 56 cm (b) 28 cm (c) 192 cm (d) 44 cm
32. 32.A rectangle has an area of 80 sq cm and a length of 16 cm. What is its width? (a) 10 cm (b) 5 cm (c) 6 cm (d) 64 cm
33. 33.A rectangle is 20 cm long and 10 cm wide. What is its area? (a) 220 sq cm (b) 30 sq cm (c) 200 sq cm (d) 60 sq cm
34. 34.A rectangle is 14 cm long and 6 cm wide. What is its area? (a) 84 sq cm (b) 98 sq cm (c) 20 sq cm (d) 40 sq cm
35. 35.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 90 sq cm (d) 72 sq cm
36. 36.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 15 sq cm (b) 36 sq cm (c) 30 sq cm (d) 48 sq cm
37. 37.A rectangle has an area of 75 sq cm and a length of 15 cm. What is its width? (a) 10 cm (b) 60 cm (c) 5 cm (d) 6 cm
38. 38.A rectangle is 19 cm long and 10 cm wide. What is its area? (a) 209 sq cm (b) 29 sq cm (c) 190 sq cm (d) 58 sq cm
39. 39.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 12 cm (b) 13 cm (c) 198 cm (d) 24 cm
40. 40.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 15 sq cm (b) 30 sq cm (c) 56 sq cm (d) 64 sq cm

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