Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 267 · 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 52 cm. What is its area? (a) 196 sq cm (b) 26 sq cm (c) 169 sq cm (d) 52 sq cm
2. 2.A rectangle has an area of 14 sq cm and a length of 7 cm. What is its width? (a) 4 cm (b) 7 cm (c) 2 cm (d) 3 cm
3. 3.A rectangle is 11 cm long and 10 cm wide. What is its perimeter? (a) 42 cm (b) 110 cm (c) 32 cm (d) 21 cm
4. 4.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its width? (a) 4 cm (b) 3 cm (c) 6 cm (d) 10 cm
5. 5.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 22 cm (b) 11 cm (c) 12 cm (d) 140 cm
6. 6.A rectangle has an area of 102 sq cm and a length of 17 cm. What is its width? (a) 85 cm (b) 7 cm (c) 12 cm (d) 6 cm
7. 7.A rectangle is 20 cm long and 4 cm wide. What is its perimeter? (a) 44 cm (b) 48 cm (c) 24 cm (d) 80 cm
8. 8.A rectangle is 20 cm long and 9 cm wide. What is its perimeter? (a) 29 cm (b) 180 cm (c) 58 cm (d) 49 cm
9. 9.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 20 sq cm (c) 100 sq cm (d) 40 sq cm
10. 10.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 14 sq cm (b) 56 sq cm (c) 48 sq cm (d) 28 sq cm
11. 11.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 9 cm (c) 18 cm (d) 14 cm
12. 12.A rectangle has an area of 40 sq cm and a length of 20 cm. What is its width? (a) 20 cm (b) 4 cm (c) 2 cm (d) 3 cm
13. 13.A rectangle has an area of 66 sq cm and a length of 11 cm. What is its width? (a) 55 cm (b) 12 cm (c) 7 cm (d) 6 cm
14. 14.A rectangle has an area of 51 sq cm and a length of 17 cm. What is its width? (a) 4 cm (b) 34 cm (c) 6 cm (d) 3 cm
15. 15.A rectangle is 19 cm long and 10 cm wide. What is its area? (a) 190 sq cm (b) 29 sq cm (c) 209 sq cm (d) 58 sq cm
16. 16.A rectangle is 18 cm long and 10 cm wide. What is its area? (a) 180 sq cm (b) 198 sq cm (c) 28 sq cm (d) 56 sq cm
17. 17.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 9 sq cm (b) 21 sq cm (c) 14 sq cm (d) 18 sq cm
18. 18.A rectangle has an area of 6 sq cm and a length of 3 cm. What is its width? (a) 1 cm (b) 3 cm (c) 2 cm (d) 4 cm
19. 19.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
20. 20.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 49 sq cm (c) 28 sq cm (d) 14 sq cm
21. 21.A rectangle is 17 cm long and 2 cm wide. What is its perimeter? (a) 19 cm (b) 36 cm (c) 38 cm (d) 34 cm
22. 22.A rectangle is 18 cm long and 8 cm wide. What is its area? (a) 26 sq cm (b) 162 sq cm (c) 144 sq cm (d) 52 sq cm
23. 23.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 24 cm (b) 27 cm (c) 12 cm (d) 21 cm
24. 24.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its width? (a) 40 cm (b) 6 cm (c) 7 cm (d) 12 cm
25. 25.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 25 cm (b) 32 cm (c) 63 cm (d) 16 cm
26. 26.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 49 sq cm (c) 12 sq cm (d) 24 sq cm
27. 27.A rectangle is 17 cm long and 5 cm wide. What is its area? (a) 102 sq cm (b) 22 sq cm (c) 85 sq cm (d) 44 sq cm
28. 28.A rectangle has an area of 80 sq cm and a length of 16 cm. What is its width? (a) 5 cm (b) 64 cm (c) 10 cm (d) 6 cm
29. 29.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 30 sq cm (c) 60 sq cm (d) 256 sq cm
30. 30.A rectangle is 18 cm long and 7 cm wide. What is its area? (a) 126 sq cm (b) 50 sq cm (c) 25 sq cm (d) 144 sq cm
31. 31.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 36 sq cm (c) 18 sq cm (d) 81 sq cm
32. 32.A rectangle has an area of 45 sq cm and a length of 15 cm. What is its width? (a) 4 cm (b) 6 cm (c) 3 cm (d) 30 cm
33. 33.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 36 sq cm (c) 20 sq cm (d) 10 sq cm
34. 34.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 225 sq cm (c) 28 sq cm (d) 56 sq cm
35. 35.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 13 cm (b) 165 cm (c) 12 cm (d) 24 cm
36. 36.A rectangle is 14 cm long and 4 cm wide. What is its area? (a) 36 sq cm (b) 70 sq cm (c) 56 sq cm (d) 18 sq cm
37. 37.A rectangle has an area of 26 sq cm and a length of 13 cm. What is its width? (a) 4 cm (b) 3 cm (c) 13 cm (d) 2 cm
38. 38.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 60 sq cm (b) 70 sq cm (c) 32 sq cm (d) 16 sq cm
39. 39.A rectangle is 17 cm long and 8 cm wide. What is its perimeter? (a) 136 cm (b) 50 cm (c) 25 cm (d) 42 cm
40. 40.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 24 sq cm (c) 169 sq cm (d) 48 sq cm

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