Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 292 · 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 8 sq cm and a length of 4 cm. What is its width? (a) 3 cm (b) 1 cm (c) 4 cm (d) 2 cm
2. 2.A rectangle is 18 cm long and 3 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 54 sq cm (d) 72 sq cm
3. 3.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its width? (a) 108 cm (b) 7 cm (c) 8 cm (d) 14 cm
4. 4.A rectangle is 17 cm long and 11 cm wide. What is its perimeter? (a) 28 cm (b) 45 cm (c) 56 cm (d) 187 cm
5. 5.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 36 sq cm (c) 20 sq cm (d) 10 sq cm
6. 6.A rectangle is 18 cm long and 8 cm wide. What is its area? (a) 144 sq cm (b) 26 sq cm (c) 162 sq cm (d) 52 sq cm
7. 7.A rectangle has an area of 96 sq cm and a length of 16 cm. What is its width? (a) 6 cm (b) 7 cm (c) 12 cm (d) 80 cm
8. 8.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 60 sq cm (c) 30 sq cm (d) 225 sq cm
9. 9.A rectangle has an area of 30 sq cm and a length of 10 cm. What is its width? (a) 6 cm (b) 20 cm (c) 4 cm (d) 3 cm
10. 10.A rectangle is 18 cm long and 7 cm wide. What is its perimeter? (a) 43 cm (b) 50 cm (c) 126 cm (d) 25 cm
11. 11.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 196 sq cm (d) 169 sq cm
12. 12.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 121 sq cm (c) 100 sq cm (d) 20 sq cm
13. 13.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 36 sq cm (b) 26 sq cm (c) 45 sq cm (d) 13 sq cm
14. 14.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 81 sq cm (c) 64 sq cm (d) 16 sq cm
15. 15.A rectangle has an area of 70 sq cm and a length of 14 cm. What is its width? (a) 56 cm (b) 10 cm (c) 5 cm (d) 6 cm
16. 16.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 18 sq cm (c) 9 sq cm (d) 19 sq cm
17. 17.A rectangle is 18 cm long and 12 cm wide. What is its perimeter? (a) 30 cm (b) 216 cm (c) 48 cm (d) 60 cm
18. 18.A rectangle is 15 cm long and 7 cm wide. What is its perimeter? (a) 105 cm (b) 22 cm (c) 37 cm (d) 44 cm
19. 19.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 81 sq cm (b) 34 sq cm (c) 17 sq cm (d) 72 sq cm
20. 20.A rectangle has an area of 160 sq cm and a length of 20 cm. What is its width? (a) 140 cm (b) 16 cm (c) 8 cm (d) 9 cm
21. 21.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 12 sq cm (c) 24 sq cm (d) 49 sq cm
22. 22.A rectangle has an area of 95 sq cm and a length of 19 cm. What is its width? (a) 5 cm (b) 6 cm (c) 76 cm (d) 10 cm
23. 23.A rectangle is 14 cm long and 4 cm wide. What is its perimeter? (a) 32 cm (b) 56 cm (c) 18 cm (d) 36 cm
24. 24.A rectangle is 14 cm long and 2 cm wide. What is its perimeter? (a) 28 cm (b) 30 cm (c) 16 cm (d) 32 cm
25. 25.A rectangle is 15 cm long and 12 cm wide. What is its area? (a) 195 sq cm (b) 54 sq cm (c) 27 sq cm (d) 180 sq cm
26. 26.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 28 cm (b) 14 cm (c) 33 cm (d) 25 cm
27. 27.A rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 4 cm (b) 3 cm (c) 8 cm (d) 6 cm
28. 28.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 46 sq cm (b) 95 sq cm (c) 76 sq cm (d) 23 sq cm
29. 29.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
30. 30.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 13 sq cm (b) 30 sq cm (c) 40 sq cm (d) 26 sq cm
31. 31.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 15 cm (b) 24 cm (c) 54 cm (d) 30 cm
32. 32.A rectangle has an area of 180 sq cm and a length of 18 cm. What is its width? (a) 162 cm (b) 11 cm (c) 20 cm (d) 10 cm
33. 33.A rectangle is 20 cm long and 9 cm wide. What is its area? (a) 29 sq cm (b) 180 sq cm (c) 200 sq cm (d) 58 sq cm
34. 34.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
35. 35.A rectangle is 18 cm long and 11 cm wide. What is its area? (a) 216 sq cm (b) 29 sq cm (c) 58 sq cm (d) 198 sq cm
36. 36.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 169 sq cm (c) 144 sq cm (d) 24 sq cm
37. 37.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 32 sq cm (b) 48 sq cm (c) 16 sq cm (d) 60 sq cm
38. 38.A rectangle is 14 cm long and 8 cm wide. What is its area? (a) 112 sq cm (b) 44 sq cm (c) 22 sq cm (d) 126 sq cm
39. 39.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 11 cm (b) 22 cm (c) 120 cm (d) 12 cm
40. 40.A rectangle is 16 cm long and 6 cm wide. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 112 sq cm (d) 96 sq cm

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