Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 44 · 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 rectangle is 9 cm long and 6 cm wide. What is its area? (a) 15 sq cm (b) 30 sq cm (c) 54 sq cm (d) 63 sq cm
2. 2.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 13 cm (b) 143 cm (c) 24 cm (d) 12 cm
3. 3.A rectangle has an area of 26 sq cm and a length of 13 cm. What is its width? (a) 4 cm (b) 2 cm (c) 13 cm (d) 3 cm
4. 4.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 14 sq cm (c) 28 sq cm (d) 49 sq cm
5. 5.A rectangle has an area of 18 sq cm and a length of 9 cm. What is its width? (a) 3 cm (b) 4 cm (c) 2 cm (d) 9 cm
6. 6.A rectangle is 13 cm long and 6 cm wide. What is its area? (a) 38 sq cm (b) 19 sq cm (c) 78 sq cm (d) 91 sq cm
7. 7.A rectangle is 13 cm long and 2 cm wide. What is its perimeter? (a) 26 cm (b) 30 cm (c) 15 cm (d) 28 cm
8. 8.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
9. 9.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 144 sq cm (c) 24 sq cm (d) 48 sq cm
10. 10.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 22 sq cm (b) 72 sq cm (c) 90 sq cm (d) 44 sq cm
11. 11.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its width? (a) 14 cm (b) 6 cm (c) 4 cm (d) 3 cm
12. 12.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 117 cm (b) 11 cm (c) 20 cm (d) 10 cm
13. 13.A rectangle is 15 cm long and 10 cm wide. What is its area? (a) 150 sq cm (b) 50 sq cm (c) 25 sq cm (d) 165 sq cm
14. 14.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 52 sq cm (c) 169 sq cm (d) 26 sq cm
15. 15.A rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 8 cm (b) 6 cm (c) 4 cm (d) 3 cm
16. 16.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 12 sq cm (c) 32 sq cm (d) 24 sq cm
17. 17.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 36 sq cm (c) 18 sq cm (d) 100 sq cm
18. 18.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 64 sq cm (d) 80 sq cm
19. 19.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 22 sq cm (b) 32 sq cm (c) 24 sq cm (d) 11 sq cm
20. 20.A rectangle has an area of 102 sq cm and a length of 17 cm. What is its width? (a) 12 cm (b) 85 cm (c) 6 cm (d) 7 cm
21. 21.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 11 sq cm (c) 36 sq cm (d) 22 sq cm
22. 22.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 12 cm (b) 209 cm (c) 24 cm (d) 13 cm
23. 23.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 48 cm (b) 28 cm (c) 22 cm (d) 14 cm
24. 24.A rectangle is 14 cm long and 11 cm wide. What is its perimeter? (a) 50 cm (b) 39 cm (c) 154 cm (d) 25 cm
25. 25.A rectangle is 16 cm long and 9 cm wide. What is its perimeter? (a) 144 cm (b) 25 cm (c) 41 cm (d) 50 cm
26. 26.A rectangle is 16 cm long and 6 cm wide. What is its area? (a) 44 sq cm (b) 112 sq cm (c) 22 sq cm (d) 96 sq cm
27. 27.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 81 sq cm (c) 16 sq cm (d) 32 sq cm
28. 28.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 13 cm (b) 24 cm (c) 165 cm (d) 12 cm
29. 29.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 13 cm (b) 187 cm (c) 24 cm (d) 12 cm
30. 30.A rectangle is 15 cm long and 2 cm wide. What is its area? (a) 45 sq cm (b) 17 sq cm (c) 34 sq cm (d) 30 sq cm
31. 31.A rectangle is 20 cm long and 5 cm wide. What is its perimeter? (a) 50 cm (b) 25 cm (c) 100 cm (d) 45 cm
32. 32.A rectangle is 19 cm long and 10 cm wide. What is its area? (a) 190 sq cm (b) 209 sq cm (c) 29 sq cm (d) 58 sq cm
33. 33.A rectangle has an area of 119 sq cm and a length of 17 cm. What is its width? (a) 7 cm (b) 102 cm (c) 8 cm (d) 14 cm
34. 34.A rectangle is 15 cm long and 6 cm wide. What is its area? (a) 42 sq cm (b) 105 sq cm (c) 21 sq cm (d) 90 sq cm
35. 35.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 225 sq cm (c) 256 sq cm (d) 60 sq cm
36. 36.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 21 sq cm (b) 42 sq cm (c) 121 sq cm (d) 110 sq cm
37. 37.A rectangle has an area of 51 sq cm and a length of 17 cm. What is its width? (a) 3 cm (b) 4 cm (c) 6 cm (d) 34 cm
38. 38.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 11 cm (c) 22 cm (d) 140 cm
39. 39.A rectangle is 18 cm long and 6 cm wide. What is its perimeter? (a) 108 cm (b) 48 cm (c) 42 cm (d) 24 cm
40. 40.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 11 cm (b) 12 cm (c) 22 cm (d) 200 cm

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