Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 300 · 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 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 81 sq cm (d) 64 sq cm
2. 2.A rectangle has an area of 32 sq cm and a length of 16 cm. What is its width? (a) 2 cm (b) 16 cm (c) 3 cm (d) 4 cm
3. 3.A rectangle is 15 cm long and 8 cm wide. What is its perimeter? (a) 23 cm (b) 120 cm (c) 38 cm (d) 46 cm
4. 4.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 24 cm (b) 198 cm (c) 12 cm (d) 13 cm
5. 5.A rectangle has an area of 56 sq cm and a length of 14 cm. What is its width? (a) 5 cm (b) 42 cm (c) 4 cm (d) 8 cm
6. 6.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 100 sq cm (c) 121 sq cm (d) 40 sq cm
7. 7.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 81 sq cm (c) 36 sq cm (d) 100 sq cm
8. 8.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
9. 9.A rectangle has an area of 96 sq cm and a length of 12 cm. What is its width? (a) 9 cm (b) 8 cm (c) 16 cm (d) 84 cm
10. 10.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 22 cm (b) 36 cm (c) 26 cm (d) 13 cm
11. 11.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 26 cm (b) 24 cm (c) 22 cm (d) 13 cm
12. 12.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 80 sq cm (b) 34 sq cm (c) 17 sq cm (d) 70 sq cm
13. 13.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 256 sq cm (c) 30 sq cm (d) 60 sq cm
14. 14.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 225 sq cm (c) 196 sq cm (d) 28 sq cm
15. 15.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 14 sq cm (b) 50 sq cm (c) 28 sq cm (d) 40 sq cm
16. 16.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 25 sq cm (c) 20 sq cm (d) 10 sq cm
17. 17.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 26 sq cm (c) 52 sq cm (d) 169 sq cm
18. 18.A rectangle has an area of 38 sq cm and a length of 19 cm. What is its width? (a) 4 cm (b) 19 cm (c) 3 cm (d) 2 cm
19. 19.A rectangle is 20 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 100 sq cm (c) 80 sq cm (d) 48 sq cm
20. 20.A rectangle is 13 cm long and 10 cm wide. What is its area? (a) 46 sq cm (b) 130 sq cm (c) 143 sq cm (d) 23 sq cm
21. 21.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 26 cm (b) 13 cm (c) 40 cm (d) 21 cm
22. 22.A rectangle has an area of 42 sq cm and a length of 14 cm. What is its width? (a) 4 cm (b) 6 cm (c) 28 cm (d) 3 cm
23. 23.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 65 sq cm (b) 78 sq cm (c) 18 sq cm (d) 36 sq cm
24. 24.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 44 sq cm (c) 121 sq cm (d) 22 sq cm
25. 25.A rectangle has an area of 91 sq cm and a length of 13 cm. What is its width? (a) 7 cm (b) 14 cm (c) 8 cm (d) 78 cm
26. 26.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 28 sq cm (d) 14 sq cm
27. 27.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 9 cm (b) 18 cm (c) 10 cm (d) 88 cm
28. 28.A rectangle is 16 cm long and 3 cm wide. What is its area? (a) 19 sq cm (b) 38 sq cm (c) 48 sq cm (d) 64 sq cm
29. 29.A rectangle is 16 cm long and 11 cm wide. What is its area? (a) 27 sq cm (b) 176 sq cm (c) 192 sq cm (d) 54 sq cm
30. 30.A rectangle is 13 cm long and 11 cm wide. What is its area? (a) 156 sq cm (b) 24 sq cm (c) 143 sq cm (d) 48 sq cm
31. 31.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 13 cm (b) 12 cm (c) 154 cm (d) 24 cm
32. 32.A rectangle has an area of 171 sq cm and a length of 19 cm. What is its width? (a) 152 cm (b) 18 cm (c) 10 cm (d) 9 cm
33. 33.A rectangle is 14 cm long and 5 cm wide. What is its area? (a) 84 sq cm (b) 70 sq cm (c) 19 sq cm (d) 38 sq cm
34. 34.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 24 cm (b) 220 cm (c) 12 cm (d) 13 cm
35. 35.A rectangle is 13 cm long and 7 cm wide. What is its area? (a) 104 sq cm (b) 20 sq cm (c) 91 sq cm (d) 40 sq cm
36. 36.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 12 sq cm (c) 24 sq cm (d) 36 sq cm
37. 37.A rectangle is 17 cm long and 3 cm wide. What is its perimeter? (a) 40 cm (b) 51 cm (c) 37 cm (d) 20 cm
38. 38.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 21 sq cm (b) 85 sq cm (c) 42 sq cm (d) 68 sq cm
39. 39.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 17 sq cm (b) 56 sq cm (c) 34 sq cm (d) 42 sq cm
40. 40.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 90 sq cm (b) 23 sq cm (c) 108 sq cm (d) 46 sq cm

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