Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 32 · 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 48 cm. What is its area? (a) 48 sq cm (b) 144 sq cm (c) 24 sq cm (d) 169 sq cm
2. 2.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 36 cm (b) 28 cm (c) 18 cm (d) 80 cm
3. 3.A rectangle has an area of 126 sq cm and a length of 14 cm. What is its width? (a) 10 cm (b) 112 cm (c) 9 cm (d) 18 cm
4. 4.A rectangle is 17 cm long and 2 cm wide. What is its area? (a) 19 sq cm (b) 51 sq cm (c) 38 sq cm (d) 34 sq cm
5. 5.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 26 cm (b) 16 cm (c) 60 cm (d) 32 cm
6. 6.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 56 sq cm (c) 28 sq cm (d) 196 sq cm
7. 7.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 121 sq cm (d) 144 sq cm
8. 8.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 6 cm (b) 100 cm (c) 7 cm (d) 12 cm
9. 9.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
10. 10.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 21 sq cm (b) 42 sq cm (c) 110 sq cm (d) 121 sq cm
11. 11.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 81 sq cm (d) 64 sq cm
12. 12.A rectangle is 15 cm long and 10 cm wide. What is its perimeter? (a) 40 cm (b) 150 cm (c) 25 cm (d) 50 cm
13. 13.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 12 sq cm (c) 16 sq cm (d) 18 sq cm
14. 14.A rectangle is 16 cm long and 10 cm wide. What is its area? (a) 176 sq cm (b) 52 sq cm (c) 160 sq cm (d) 26 sq cm
15. 15.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 13 cm (b) 26 cm (c) 30 cm (d) 23 cm
16. 16.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 12 cm (c) 20 cm (d) 32 cm
17. 17.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 36 sq cm (b) 26 sq cm (c) 45 sq cm (d) 13 sq cm
18. 18.A rectangle is 14 cm long and 5 cm wide. What is its area? (a) 70 sq cm (b) 38 sq cm (c) 84 sq cm (d) 19 sq cm
19. 19.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 27 cm (b) 21 cm (c) 12 cm (d) 24 cm
20. 20.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 33 sq cm (d) 44 sq cm
21. 21.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 11 cm (b) 10 cm (c) 20 cm (d) 135 cm
22. 22.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 64 sq cm (c) 28 sq cm (d) 49 sq cm
23. 23.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its width? (a) 6 cm (b) 3 cm (c) 4 cm (d) 14 cm
24. 24.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 120 sq cm (b) 108 sq cm (c) 21 sq cm (d) 42 sq cm
25. 25.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 24 cm (c) 154 cm (d) 13 cm
26. 26.A rectangle has an area of 40 sq cm and a length of 10 cm. What is its width? (a) 5 cm (b) 30 cm (c) 4 cm (d) 8 cm
27. 27.A rectangle is 17 cm long and 6 cm wide. What is its perimeter? (a) 102 cm (b) 46 cm (c) 23 cm (d) 40 cm
28. 28.A rectangle is 19 cm long and 5 cm wide. What is its area? (a) 48 sq cm (b) 114 sq cm (c) 24 sq cm (d) 95 sq cm
29. 29.A rectangle has an area of 105 sq cm and a length of 15 cm. What is its width? (a) 7 cm (b) 90 cm (c) 14 cm (d) 8 cm
30. 30.A rectangle is 16 cm long and 2 cm wide. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 32 sq cm (d) 48 sq cm
31. 31.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 40 sq cm (d) 32 sq cm
32. 32.A rectangle is 14 cm long and 12 cm wide. What is its area? (a) 168 sq cm (b) 26 sq cm (c) 52 sq cm (d) 182 sq cm
33. 33.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 9 cm (b) 18 cm (c) 19 cm (d) 15 cm
34. 34.A rectangle is 12 cm long and 11 cm wide. What is its area? (a) 23 sq cm (b) 46 sq cm (c) 132 sq cm (d) 144 sq cm
35. 35.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
36. 36.A rectangle is 16 cm long and 2 cm wide. What is its perimeter? (a) 36 cm (b) 32 cm (c) 18 cm (d) 34 cm
37. 37.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 26 sq cm (c) 52 sq cm (d) 196 sq cm
38. 38.A rectangle has an area of 57 sq cm and a length of 19 cm. What is its width? (a) 38 cm (b) 4 cm (c) 6 cm (d) 3 cm
39. 39.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 22 sq cm (b) 35 sq cm (c) 11 sq cm (d) 28 sq cm
40. 40.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 20 cm (c) 18 cm (d) 10 cm

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