Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 37 · 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 160 sq cm and a length of 16 cm. What is its width? (a) 11 cm (b) 10 cm (c) 144 cm (d) 20 cm
2. 2.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 42 sq cm (b) 120 sq cm (c) 108 sq cm (d) 21 sq cm
3. 3.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 44 sq cm (c) 22 sq cm (d) 144 sq cm
4. 4.A rectangle is 14 cm long and 3 cm wide. What is its perimeter? (a) 34 cm (b) 31 cm (c) 17 cm (d) 42 cm
5. 5.A rectangle is 18 cm long and 3 cm wide. What is its area? (a) 72 sq cm (b) 42 sq cm (c) 54 sq cm (d) 21 sq cm
6. 6.A rectangle is 16 cm long and 8 cm wide. What is its perimeter? (a) 40 cm (b) 24 cm (c) 128 cm (d) 48 cm
7. 7.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 30 sq cm (c) 256 sq cm (d) 60 sq cm
8. 8.A rectangle has an area of 80 sq cm and a length of 20 cm. What is its width? (a) 5 cm (b) 4 cm (c) 60 cm (d) 8 cm
9. 9.A rectangle has an area of 100 sq cm and a length of 20 cm. What is its width? (a) 10 cm (b) 80 cm (c) 5 cm (d) 6 cm
10. 10.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 14 sq cm (b) 9 sq cm (c) 21 sq cm (d) 18 sq cm
11. 11.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 12 sq cm (b) 40 sq cm (c) 24 sq cm (d) 32 sq cm
12. 12.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 64 sq cm (b) 30 sq cm (c) 56 sq cm (d) 15 sq cm
13. 13.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 169 sq cm (d) 144 sq cm
14. 14.A rectangle has an area of 68 sq cm and a length of 17 cm. What is its width? (a) 51 cm (b) 4 cm (c) 8 cm (d) 5 cm
15. 15.A rectangle is 13 cm long and 4 cm wide. What is its area? (a) 65 sq cm (b) 17 sq cm (c) 52 sq cm (d) 34 sq cm
16. 16.A rectangle is 12 cm long and 5 cm wide. What is its area? (a) 34 sq cm (b) 72 sq cm (c) 60 sq cm (d) 17 sq cm
17. 17.A rectangle has an area of 24 sq cm and a length of 6 cm. What is its width? (a) 4 cm (b) 8 cm (c) 18 cm (d) 5 cm
18. 18.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 35 sq cm (c) 12 sq cm (d) 42 sq cm
19. 19.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 11 cm (b) 22 cm (c) 28 cm (d) 18 cm
20. 20.A rectangle is 14 cm long and 6 cm wide. What is its perimeter? (a) 20 cm (b) 40 cm (c) 84 cm (d) 34 cm
21. 21.A rectangle is 16 cm long and 6 cm wide. What is its area? (a) 112 sq cm (b) 44 sq cm (c) 22 sq cm (d) 96 sq cm
22. 22.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 33 sq cm (b) 22 sq cm (c) 13 sq cm (d) 26 sq cm
23. 23.A rectangle is 19 cm long and 12 cm wide. What is its area? (a) 62 sq cm (b) 31 sq cm (c) 228 sq cm (d) 247 sq cm
24. 24.A rectangle has an area of 45 sq cm and a length of 9 cm. What is its width? (a) 36 cm (b) 5 cm (c) 6 cm (d) 10 cm
25. 25.A rectangle has an area of 52 sq cm and a length of 13 cm. What is its width? (a) 4 cm (b) 39 cm (c) 8 cm (d) 5 cm
26. 26.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 81 sq cm (c) 18 sq cm (d) 100 sq cm
27. 27.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 22 cm (b) 11 cm (c) 12 cm (d) 190 cm
28. 28.A rectangle is 17 cm long and 6 cm wide. What is its perimeter? (a) 102 cm (b) 46 cm (c) 40 cm (d) 23 cm
29. 29.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 32 sq cm (c) 81 sq cm (d) 16 sq cm
30. 30.A rectangle is 14 cm long and 5 cm wide. What is its area? (a) 38 sq cm (b) 19 sq cm (c) 70 sq cm (d) 84 sq cm
31. 31.A rectangle is 12 cm long and 11 cm wide. What is its area? (a) 132 sq cm (b) 23 sq cm (c) 46 sq cm (d) 144 sq cm
32. 32.A rectangle is 11 cm long and 6 cm wide. What is its perimeter? (a) 34 cm (b) 17 cm (c) 28 cm (d) 66 cm
33. 33.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 108 cm (b) 10 cm (c) 11 cm (d) 20 cm
34. 34.A rectangle is 13 cm long and 9 cm wide. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 130 sq cm (d) 117 sq cm
35. 35.A rectangle has an area of 126 sq cm and a length of 14 cm. What is its width? (a) 112 cm (b) 9 cm (c) 10 cm (d) 18 cm
36. 36.A rectangle is 14 cm long and 4 cm wide. What is its area? (a) 36 sq cm (b) 70 sq cm (c) 18 sq cm (d) 56 sq cm
37. 37.A rectangle is 17 cm long and 11 cm wide. What is its area? (a) 28 sq cm (b) 204 sq cm (c) 187 sq cm (d) 56 sq cm
38. 38.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 38 sq cm (b) 21 sq cm (c) 42 sq cm (d) 57 sq cm
39. 39.A rectangle is 12 cm long and 6 cm wide. What is its perimeter? (a) 30 cm (b) 72 cm (c) 36 cm (d) 18 cm
40. 40.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

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