Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 496 · 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 45 sq cm and a length of 15 cm. What is its width? (a) 4 cm (b) 3 cm (c) 30 cm (d) 6 cm
2. 2.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 64 sq cm (d) 49 sq cm
3. 3.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 176 cm (b) 24 cm (c) 13 cm (d) 12 cm
4. 4.A rectangle is 16 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 34 cm (c) 32 cm (d) 36 cm
5. 5.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 4 cm (b) 3 cm (c) 2 cm (d) 6 cm
6. 6.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 225 sq cm (c) 60 sq cm (d) 30 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) 100 sq cm (d) 36 sq cm
8. 8.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
9. 9.A rectangle has an area of 112 sq cm and a length of 16 cm. What is its width? (a) 8 cm (b) 96 cm (c) 14 cm (d) 7 cm
10. 10.A rectangle is 14 cm long and 12 cm wide. What is its area? (a) 182 sq cm (b) 168 sq cm (c) 26 sq cm (d) 52 sq cm
11. 11.A rectangle is 16 cm long and 5 cm wide. What is its area? (a) 42 sq cm (b) 96 sq cm (c) 21 sq cm (d) 80 sq cm
12. 12.A rectangle is 20 cm long and 11 cm wide. What is its perimeter? (a) 62 cm (b) 51 cm (c) 31 cm (d) 220 cm
13. 13.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 77 cm (b) 8 cm (c) 16 cm (d) 9 cm
14. 14.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 23 cm (b) 45 cm (c) 14 cm (d) 28 cm
15. 15.A rectangle has an area of 48 sq cm and a length of 12 cm. What is its width? (a) 8 cm (b) 5 cm (c) 36 cm (d) 4 cm
16. 16.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 64 sq cm (c) 16 sq cm (d) 81 sq cm
17. 17.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 12 cm (b) 100 cm (c) 6 cm (d) 7 cm
18. 18.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 24 cm (c) 32 cm (d) 12 cm
19. 19.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 18 cm (b) 80 cm (c) 28 cm (d) 36 cm
20. 20.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 13 cm (b) 30 cm (c) 23 cm (d) 26 cm
21. 21.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 68 sq cm (b) 85 sq cm (c) 42 sq cm (d) 21 sq cm
22. 22.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 90 sq cm (b) 18 sq cm (c) 80 sq cm (d) 36 sq cm
23. 23.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 196 sq cm (c) 56 sq cm (d) 28 sq cm
24. 24.A rectangle is 15 cm long and 11 cm wide. What is its perimeter? (a) 165 cm (b) 52 cm (c) 41 cm (d) 26 cm
25. 25.A rectangle has an area of 72 sq cm and a length of 18 cm. What is its width? (a) 4 cm (b) 54 cm (c) 5 cm (d) 8 cm
26. 26.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 16 cm (c) 9 cm (d) 14 cm
27. 27.A rectangle is 17 cm long and 12 cm wide. What is its area? (a) 221 sq cm (b) 204 sq cm (c) 29 sq cm (d) 58 sq cm
28. 28.A rectangle has an area of 22 sq cm and a length of 11 cm. What is its width? (a) 4 cm (b) 11 cm (c) 2 cm (d) 3 cm
29. 29.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 42 cm (b) 13 cm (c) 20 cm (d) 26 cm
30. 30.A rectangle has an area of 50 sq cm and a length of 10 cm. What is its width? (a) 5 cm (b) 10 cm (c) 6 cm (d) 40 cm
31. 31.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 40 sq cm (d) 32 sq cm
32. 32.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 23 sq cm (b) 46 sq cm (c) 140 sq cm (d) 126 sq cm
33. 33.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 40 sq cm (c) 20 sq cm (d) 100 sq cm
34. 34.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 48 cm (b) 8 cm (c) 7 cm (d) 14 cm
35. 35.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 18 cm (b) 9 cm (c) 104 cm (d) 10 cm
36. 36.A rectangle is 20 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 40 sq cm (c) 60 sq cm (d) 44 sq cm
37. 37.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 49 sq cm (b) 26 sq cm (c) 42 sq cm (d) 13 sq cm
38. 38.A rectangle has an area of 34 sq cm and a length of 17 cm. What is its width? (a) 2 cm (b) 17 cm (c) 4 cm (d) 3 cm
39. 39.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 50 sq cm (d) 40 sq cm
40. 40.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 24 sq cm (c) 169 sq cm (d) 48 sq cm

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