Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 24 · 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 36 cm. What is its area? (a) 36 sq cm (b) 100 sq cm (c) 18 sq cm (d) 81 sq cm
2. 2.A rectangle is 15 cm long and 2 cm wide. What is its area? (a) 45 sq cm (b) 30 sq cm (c) 17 sq cm (d) 34 sq cm
3. 3.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 22 cm (b) 48 cm (c) 28 cm (d) 14 cm
4. 4.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 63 sq cm (b) 32 sq cm (c) 16 sq cm (d) 72 sq cm
5. 5.A rectangle is 12 cm long and 7 cm wide. What is its perimeter? (a) 31 cm (b) 38 cm (c) 84 cm (d) 19 cm
6. 6.A rectangle is 19 cm long and 5 cm wide. What is its perimeter? (a) 43 cm (b) 95 cm (c) 24 cm (d) 48 cm
7. 7.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 46 sq cm (b) 76 sq cm (c) 95 sq cm (d) 23 sq cm
8. 8.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 24 sq cm (c) 12 sq cm (d) 49 sq cm
9. 9.A rectangle is 18 cm long and 3 cm wide. What is its perimeter? (a) 42 cm (b) 39 cm (c) 21 cm (d) 54 cm
10. 10.A rectangle has an area of 26 sq cm and a length of 13 cm. What is its width? (a) 13 cm (b) 4 cm (c) 2 cm (d) 3 cm
11. 11.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 14 sq cm (b) 45 sq cm (c) 28 sq cm (d) 54 sq cm
12. 12.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 256 sq cm (c) 60 sq cm (d) 30 sq cm
13. 13.A rectangle is 13 cm long and 2 cm wide. What is its perimeter? (a) 26 cm (b) 30 cm (c) 28 cm (d) 15 cm
14. 14.A rectangle is 12 cm long and 5 cm wide. What is its perimeter? (a) 60 cm (b) 34 cm (c) 17 cm (d) 29 cm
15. 15.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 32 sq cm (c) 40 sq cm (d) 12 sq cm
16. 16.A rectangle is 12 cm long and 9 cm wide. What is its perimeter? (a) 21 cm (b) 108 cm (c) 42 cm (d) 33 cm
17. 17.A rectangle has an area of 45 sq cm and a length of 9 cm. What is its width? (a) 5 cm (b) 6 cm (c) 36 cm (d) 10 cm
18. 18.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 42 sq cm (d) 35 sq cm
19. 19.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) 12 cm (d) 7 cm
20. 20.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 32 cm (c) 20 cm (d) 12 cm
21. 21.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 31 sq cm (b) 240 sq cm (c) 220 sq cm (d) 62 sq cm
22. 22.A rectangle is 14 cm long and 12 cm wide. What is its area? (a) 52 sq cm (b) 182 sq cm (c) 26 sq cm (d) 168 sq cm
23. 23.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
24. 24.A rectangle has an area of 104 sq cm and a length of 13 cm. What is its width? (a) 9 cm (b) 91 cm (c) 8 cm (d) 16 cm
25. 25.A rectangle is 13 cm long and 9 cm wide. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 130 sq cm (d) 117 sq cm
26. 26.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 20 sq cm (c) 10 sq cm (d) 36 sq cm
27. 27.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 144 sq cm (d) 121 sq cm
28. 28.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 13 cm (b) 24 cm (c) 26 cm (d) 22 cm
29. 29.A rectangle is 18 cm long and 12 cm wide. What is its area? (a) 216 sq cm (b) 234 sq cm (c) 30 sq cm (d) 60 sq cm
30. 30.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 165 cm (b) 24 cm (c) 13 cm (d) 12 cm
31. 31.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
32. 32.A rectangle is 15 cm long and 12 cm wide. What is its perimeter? (a) 27 cm (b) 180 cm (c) 42 cm (d) 54 cm
33. 33.A rectangle is 14 cm long and 5 cm wide. What is its perimeter? (a) 19 cm (b) 70 cm (c) 38 cm (d) 33 cm
34. 34.A rectangle is 15 cm long and 4 cm wide. What is its area? (a) 38 sq cm (b) 19 sq cm (c) 75 sq cm (d) 60 sq cm
35. 35.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 8 cm (b) 9 cm (c) 16 cm (d) 98 cm
36. 36.A rectangle has an area of 60 sq cm and a length of 20 cm. What is its width? (a) 4 cm (b) 40 cm (c) 3 cm (d) 6 cm
37. 37.A rectangle is 15 cm long and 11 cm wide. What is its area? (a) 180 sq cm (b) 52 sq cm (c) 26 sq cm (d) 165 sq cm
38. 38.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
39. 39.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 11 sq cm (b) 22 sq cm (c) 18 sq cm (d) 27 sq cm
40. 40.A rectangle is 14 cm long and 2 cm wide. What is its perimeter? (a) 28 cm (b) 16 cm (c) 32 cm (d) 30 cm

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