Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 379 · 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) 28 sq cm (b) 64 sq cm (c) 14 sq cm (d) 49 sq cm
2. 2.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 22 cm (b) 150 cm (c) 11 cm (d) 12 cm
3. 3.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 169 sq cm (c) 24 sq cm (d) 48 sq cm
4. 4.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 11 cm (b) 22 cm (c) 180 cm (d) 12 cm
5. 5.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 12 sq cm (d) 49 sq cm
6. 6.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 196 sq cm (c) 56 sq cm (d) 225 sq cm
7. 7.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 187 cm (b) 13 cm (c) 12 cm (d) 24 cm
8. 8.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
9. 9.A rectangle is 18 cm long and 10 cm wide. What is its perimeter? (a) 28 cm (b) 46 cm (c) 56 cm (d) 180 cm
10. 10.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 140 sq cm (b) 23 sq cm (c) 126 sq cm (d) 46 sq cm
11. 11.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 5 cm (b) 8 cm (c) 15 cm (d) 4 cm
12. 12.A rectangle is 13 cm long and 4 cm wide. What is its perimeter? (a) 17 cm (b) 30 cm (c) 52 cm (d) 34 cm
13. 13.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
14. 14.A rectangle is 14 cm long and 12 cm wide. What is its area? (a) 26 sq cm (b) 182 sq cm (c) 52 sq cm (d) 168 sq cm
15. 15.A rectangle is 20 cm long and 4 cm wide. What is its area? (a) 80 sq cm (b) 24 sq cm (c) 100 sq cm (d) 48 sq cm
16. 16.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its width? (a) 8 cm (b) 27 cm (c) 4 cm (d) 5 cm
17. 17.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
18. 18.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 12 cm (b) 32 cm (c) 20 cm (d) 24 cm
19. 19.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 120 sq cm (b) 42 sq cm (c) 108 sq cm (d) 21 sq cm
20. 20.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 42 cm (b) 20 cm (c) 13 cm (d) 26 cm
21. 21.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 10 sq cm (b) 30 sq cm (c) 20 sq cm (d) 24 sq cm
22. 22.A rectangle is 16 cm long and 5 cm wide. What is its perimeter? (a) 21 cm (b) 37 cm (c) 42 cm (d) 80 cm
23. 23.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 12 sq cm (b) 36 sq cm (c) 24 sq cm (d) 27 sq cm
24. 24.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 12 cm (b) 165 cm (c) 24 cm (d) 13 cm
25. 25.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 18 cm (b) 9 cm (c) 10 cm (d) 80 cm
26. 26.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 10 cm (b) 20 cm (c) 16 cm (d) 18 cm
27. 27.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 14 cm (c) 18 cm (d) 9 cm
28. 28.A rectangle is 14 cm long and 6 cm wide. What is its area? (a) 98 sq cm (b) 20 sq cm (c) 84 sq cm (d) 40 sq cm
29. 29.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 64 sq cm (c) 40 sq cm (d) 80 sq cm
30. 30.A rectangle is 20 cm long and 5 cm wide. What is its perimeter? (a) 25 cm (b) 45 cm (c) 50 cm (d) 100 cm
31. 31.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 8 sq cm (c) 12 sq cm (d) 18 sq cm
32. 32.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 18 sq cm (c) 36 sq cm (d) 100 sq cm
33. 33.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 32 sq cm (b) 60 sq cm (c) 16 sq cm (d) 70 sq cm
34. 34.A rectangle has an area of 152 sq cm and a length of 19 cm. What is its width? (a) 9 cm (b) 133 cm (c) 8 cm (d) 16 cm
35. 35.A rectangle is 13 cm long and 2 cm wide. What is its area? (a) 15 sq cm (b) 26 sq cm (c) 30 sq cm (d) 39 sq cm
36. 36.A rectangle is 14 cm long and 7 cm wide. What is its area? (a) 98 sq cm (b) 21 sq cm (c) 112 sq cm (d) 42 sq cm
37. 37.A rectangle is 19 cm long and 3 cm wide. What is its area? (a) 76 sq cm (b) 22 sq cm (c) 57 sq cm (d) 44 sq cm
38. 38.A rectangle is 18 cm long and 8 cm wide. What is its area? (a) 26 sq cm (b) 144 sq cm (c) 52 sq cm (d) 162 sq cm
39. 39.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 13 sq cm (b) 26 sq cm (c) 33 sq cm (d) 22 sq cm
40. 40.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 11 cm (b) 22 cm (c) 12 cm (d) 130 cm

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