Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 395 · 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 rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 24 cm (b) 198 cm (c) 12 cm (d) 13 cm
2. 2.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
3. 3.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 16 cm (b) 8 cm (c) 119 cm (d) 9 cm
4. 4.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 196 sq cm (d) 225 sq cm
5. 5.A rectangle is 15 cm long and 2 cm wide. What is its area? (a) 34 sq cm (b) 30 sq cm (c) 17 sq cm (d) 45 sq cm
6. 6.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 10 sq cm (b) 16 sq cm (c) 24 sq cm (d) 20 sq cm
7. 7.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 64 sq cm (c) 81 sq cm (d) 16 sq cm
8. 8.A rectangle is 11 cm long and 9 cm wide. What is its perimeter? (a) 20 cm (b) 99 cm (c) 31 cm (d) 40 cm
9. 9.A rectangle has an area of 105 sq cm and a length of 15 cm. What is its width? (a) 90 cm (b) 14 cm (c) 7 cm (d) 8 cm
10. 10.A rectangle has an area of 80 sq cm and a length of 16 cm. What is its width? (a) 5 cm (b) 6 cm (c) 64 cm (d) 10 cm
11. 11.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 49 sq cm (d) 12 sq cm
12. 12.A rectangle is 11 cm long and 4 cm wide. What is its area? (a) 15 sq cm (b) 30 sq cm (c) 44 sq cm (d) 55 sq cm
13. 13.A rectangle is 19 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 95 sq cm (c) 114 sq cm (d) 48 sq cm
14. 14.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 100 sq cm (c) 18 sq cm (d) 36 sq cm
15. 15.A rectangle is 18 cm long and 4 cm wide. What is its perimeter? (a) 72 cm (b) 22 cm (c) 40 cm (d) 44 cm
16. 16.A rectangle has an area of 68 sq cm and a length of 17 cm. What is its width? (a) 8 cm (b) 4 cm (c) 5 cm (d) 51 cm
17. 17.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 64 sq cm (d) 49 sq cm
18. 18.A rectangle is 12 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 28 cm (c) 24 cm (d) 26 cm
19. 19.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 8 cm (c) 14 cm (d) 12 cm
20. 20.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 100 sq cm (c) 40 sq cm (d) 121 sq cm
21. 21.A rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 4 cm (b) 6 cm (c) 3 cm (d) 8 cm
22. 22.A rectangle is 13 cm long and 3 cm wide. What is its perimeter? (a) 16 cm (b) 39 cm (c) 29 cm (d) 32 cm
23. 23.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 9 cm (b) 10 cm (c) 18 cm (d) 104 cm
24. 24.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 15 sq cm (d) 50 sq cm
25. 25.A rectangle is 18 cm long and 12 cm wide. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 234 sq cm (d) 216 sq cm
26. 26.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 54 cm (b) 30 cm (c) 15 cm (d) 24 cm
27. 27.A rectangle has an area of 140 sq cm and a length of 20 cm. What is its width? (a) 120 cm (b) 8 cm (c) 14 cm (d) 7 cm
28. 28.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 200 cm (b) 12 cm (c) 22 cm (d) 11 cm
29. 29.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 10 sq cm (c) 20 sq cm (d) 36 sq cm
30. 30.A rectangle is 16 cm long and 3 cm wide. What is its area? (a) 38 sq cm (b) 48 sq cm (c) 64 sq cm (d) 19 sq cm
31. 31.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
32. 32.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 11 sq cm (c) 22 sq cm (d) 30 sq cm
33. 33.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 40 sq cm (b) 48 sq cm (c) 13 sq cm (d) 26 sq cm
34. 34.A rectangle is 16 cm long and 6 cm wide. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 96 sq cm (d) 112 sq cm
35. 35.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 4 cm (b) 3 cm (c) 2 cm (d) 6 cm
36. 36.A rectangle is 19 cm long and 6 cm wide. What is its perimeter? (a) 114 cm (b) 25 cm (c) 44 cm (d) 50 cm
37. 37.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 144 sq cm (c) 121 sq cm (d) 44 sq cm
38. 38.A rectangle has an area of 80 sq cm and a length of 10 cm. What is its width? (a) 9 cm (b) 16 cm (c) 70 cm (d) 8 cm
39. 39.A rectangle is 15 cm long and 7 cm wide. What is its perimeter? (a) 105 cm (b) 44 cm (c) 22 cm (d) 37 cm
40. 40.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

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