Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 341 · 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 45 sq cm and a length of 15 cm. What is its width? (a) 4 cm (b) 3 cm (c) 30 cm (d) 6 cm
2. 2.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 154 cm (c) 13 cm (d) 24 cm
3. 3.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 24 cm (b) 12 cm (c) 198 cm (d) 13 cm
4. 4.A rectangle is 15 cm long and 10 cm wide. What is its perimeter? (a) 150 cm (b) 40 cm (c) 50 cm (d) 25 cm
5. 5.A rectangle has an area of 128 sq cm and a length of 16 cm. What is its width? (a) 16 cm (b) 112 cm (c) 9 cm (d) 8 cm
6. 6.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
7. 7.A rectangle is 19 cm long and 11 cm wide. What is its area? (a) 228 sq cm (b) 30 sq cm (c) 60 sq cm (d) 209 sq cm
8. 8.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 64 sq cm (d) 80 sq cm
9. 9.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 18 sq cm (c) 12 sq cm (d) 16 sq cm
10. 10.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 14 cm (b) 24 cm (c) 40 cm (d) 28 cm
11. 11.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 225 sq cm (c) 60 sq cm (d) 30 sq cm
12. 12.A rectangle is 15 cm long and 9 cm wide. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 150 sq cm (d) 135 sq cm
13. 13.A rectangle has an area of 85 sq cm and a length of 17 cm. What is its width? (a) 10 cm (b) 5 cm (c) 68 cm (d) 6 cm
14. 14.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 28 sq cm (c) 49 sq cm (d) 14 sq cm
15. 15.A rectangle is 16 cm long and 7 cm wide. What is its perimeter? (a) 112 cm (b) 46 cm (c) 23 cm (d) 39 cm
16. 16.A rectangle is 19 cm long and 11 cm wide. What is its perimeter? (a) 30 cm (b) 49 cm (c) 209 cm (d) 60 cm
17. 17.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 225 sq cm (c) 196 sq cm (d) 56 sq cm
18. 18.A rectangle has an area of 8 sq cm and a length of 4 cm. What is its width? (a) 3 cm (b) 2 cm (c) 4 cm (d) 1 cm
19. 19.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 5 cm (b) 8 cm (c) 4 cm (d) 21 cm
20. 20.A rectangle is 18 cm long and 2 cm wide. What is its perimeter? (a) 36 cm (b) 38 cm (c) 40 cm (d) 20 cm
21. 21.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 21 sq cm (b) 110 sq cm (c) 121 sq cm (d) 42 sq cm
22. 22.A rectangle is 20 cm long and 2 cm wide. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 60 sq cm (d) 40 sq cm
23. 23.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 38 sq cm (d) 57 sq cm
24. 24.A rectangle has an area of 6 sq cm and a length of 3 cm. What is its width? (a) 2 cm (b) 4 cm (c) 3 cm (d) 1 cm
25. 25.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 26 sq cm (b) 49 sq cm (c) 13 sq cm (d) 42 sq cm
26. 26.A rectangle has an area of 105 sq cm and a length of 15 cm. What is its width? (a) 8 cm (b) 7 cm (c) 14 cm (d) 90 cm
27. 27.A rectangle has an area of 102 sq cm and a length of 17 cm. What is its width? (a) 6 cm (b) 85 cm (c) 7 cm (d) 12 cm
28. 28.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 81 sq cm (c) 64 sq cm (d) 16 sq cm
29. 29.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 13 cm (b) 12 cm (c) 24 cm (d) 143 cm
30. 30.A rectangle has an area of 24 sq cm and a length of 12 cm. What is its width? (a) 3 cm (b) 12 cm (c) 2 cm (d) 4 cm
31. 31.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
32. 32.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 26 cm (b) 23 cm (c) 13 cm (d) 30 cm
33. 33.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 24 sq cm (c) 20 sq cm (d) 10 sq cm
34. 34.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 8 cm (b) 12 cm (c) 14 cm (d) 16 cm
35. 35.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 33 cm (b) 18 cm (c) 36 cm (d) 45 cm
36. 36.A rectangle is 11 cm long and 6 cm wide. What is its area? (a) 77 sq cm (b) 66 sq cm (c) 34 sq cm (d) 17 sq cm
37. 37.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 22 cm (b) 120 cm (c) 12 cm (d) 11 cm
38. 38.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
39. 39.A rectangle has an area of 34 sq cm and a length of 17 cm. What is its width? (a) 17 cm (b) 3 cm (c) 4 cm (d) 2 cm
40. 40.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 32 sq cm (c) 12 sq cm (d) 24 sq cm

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