Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 35 · 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 has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 9 cm (b) 16 cm (c) 63 cm (d) 8 cm
2. 2.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 68 sq cm (d) 51 sq cm
3. 3.A rectangle is 14 cm long and 3 cm wide. What is its perimeter? (a) 31 cm (b) 34 cm (c) 42 cm (d) 17 cm
4. 4.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 63 cm (b) 25 cm (c) 16 cm (d) 32 cm
5. 5.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 49 sq cm (c) 36 sq cm (d) 12 sq cm
6. 6.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 256 sq cm (c) 225 sq cm (d) 30 sq cm
7. 7.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 50 sq cm (d) 40 sq cm
8. 8.A rectangle has an area of 96 sq cm and a length of 16 cm. What is its width? (a) 80 cm (b) 6 cm (c) 7 cm (d) 12 cm
9. 9.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 20 sq cm (c) 25 sq cm (d) 10 sq cm
10. 10.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 9 sq cm (c) 19 sq cm (d) 18 sq cm
11. 11.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 169 sq cm (c) 144 sq cm (d) 48 sq cm
12. 12.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 11 sq cm (b) 22 sq cm (c) 35 sq cm (d) 28 sq cm
13. 13.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 16 sq cm (c) 18 sq cm (d) 8 sq cm
14. 14.A rectangle is 18 cm long and 2 cm wide. What is its perimeter? (a) 36 cm (b) 40 cm (c) 38 cm (d) 20 cm
15. 15.A rectangle is 16 cm long and 5 cm wide. What is its perimeter? (a) 80 cm (b) 21 cm (c) 42 cm (d) 37 cm
16. 16.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 20 cm (b) 108 cm (c) 11 cm (d) 10 cm
17. 17.A rectangle is 14 cm long and 12 cm wide. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 168 sq cm (d) 182 sq cm
18. 18.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its width? (a) 8 cm (b) 5 cm (c) 4 cm (d) 27 cm
19. 19.A rectangle is 20 cm long and 8 cm wide. What is its area? (a) 160 sq cm (b) 180 sq cm (c) 28 sq cm (d) 56 sq cm
20. 20.A rectangle is 20 cm long and 5 cm wide. What is its area? (a) 120 sq cm (b) 25 sq cm (c) 50 sq cm (d) 100 sq cm
21. 21.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 11 cm (b) 190 cm (c) 22 cm (d) 12 cm
22. 22.A rectangle has an area of 30 sq cm and a length of 15 cm. What is its width? (a) 15 cm (b) 3 cm (c) 4 cm (d) 2 cm
23. 23.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 33 cm (b) 18 cm (c) 45 cm (d) 36 cm
24. 24.A rectangle is 15 cm long and 8 cm wide. What is its area? (a) 46 sq cm (b) 23 sq cm (c) 135 sq cm (d) 120 sq cm
25. 25.A rectangle has an area of 120 sq cm and a length of 15 cm. What is its width? (a) 16 cm (b) 9 cm (c) 105 cm (d) 8 cm
26. 26.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 54 sq cm (b) 27 sq cm (c) 170 sq cm (d) 187 sq cm
27. 27.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its width? (a) 40 cm (b) 7 cm (c) 6 cm (d) 12 cm
28. 28.A rectangle is 12 cm long and 5 cm wide. What is its area? (a) 17 sq cm (b) 72 sq cm (c) 34 sq cm (d) 60 sq cm
29. 29.A rectangle is 19 cm long and 6 cm wide. What is its area? (a) 50 sq cm (b) 114 sq cm (c) 133 sq cm (d) 25 sq cm
30. 30.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 196 sq cm (c) 28 sq cm (d) 225 sq cm
31. 31.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 32 sq cm (b) 24 sq cm (c) 12 sq cm (d) 40 sq cm
32. 32.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 22 cm (c) 18 cm (d) 11 cm
33. 33.A rectangle has an area of 40 sq cm and a length of 8 cm. What is its width? (a) 10 cm (b) 6 cm (c) 32 cm (d) 5 cm
34. 34.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 48 sq cm (b) 15 sq cm (c) 30 sq cm (d) 36 sq cm
35. 35.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 15 sq cm (b) 64 sq cm (c) 30 sq cm (d) 56 sq cm
36. 36.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 119 cm (b) 9 cm (c) 8 cm (d) 16 cm
37. 37.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 81 sq cm (d) 100 sq cm
38. 38.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 20 cm (b) 11 cm (c) 10 cm (d) 117 cm
39. 39.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 81 sq cm (c) 16 sq cm (d) 64 sq cm
40. 40.A rectangle is 16 cm long and 6 cm wide. What is its area? (a) 96 sq cm (b) 22 sq cm (c) 44 sq cm (d) 112 sq cm

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