Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 535 · 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 9 cm. What is its width? (a) 5 cm (b) 6 cm (c) 36 cm (d) 10 cm
2. 2.A rectangle is 18 cm long and 3 cm wide. What is its area? (a) 21 sq cm (b) 42 sq cm (c) 54 sq cm (d) 72 sq cm
3. 3.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 49 sq cm (c) 28 sq cm (d) 64 sq cm
4. 4.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 28 cm (b) 23 cm (c) 45 cm (d) 14 cm
5. 5.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 110 sq cm (d) 99 sq cm
6. 6.A rectangle is 17 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 85 sq cm (d) 102 sq cm
7. 7.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 44 sq cm (d) 33 sq cm
8. 8.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 30 sq cm (b) 26 sq cm (c) 40 sq cm (d) 13 sq cm
9. 9.A rectangle is 18 cm long and 2 cm wide. What is its area? (a) 36 sq cm (b) 20 sq cm (c) 40 sq cm (d) 54 sq cm
10. 10.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 10 cm (b) 18 cm (c) 16 cm (d) 20 cm
11. 11.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 24 cm (b) 22 cm (c) 11 cm (d) 19 cm
12. 12.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 144 sq cm (c) 48 sq cm (d) 24 sq cm
13. 13.A rectangle has an area of 66 sq cm and a length of 11 cm. What is its width? (a) 12 cm (b) 55 cm (c) 7 cm (d) 6 cm
14. 14.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 140 cm (b) 12 cm (c) 11 cm (d) 22 cm
15. 15.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 121 sq cm (c) 144 sq cm (d) 22 sq cm
16. 16.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 170 cm (b) 22 cm (c) 12 cm (d) 11 cm
17. 17.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 14 cm (c) 9 cm (d) 16 cm
18. 18.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 100 sq cm (c) 121 sq cm (d) 20 sq cm
19. 19.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 16 sq cm (b) 70 sq cm (c) 32 sq cm (d) 60 sq cm
20. 20.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
21. 21.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 27 sq cm (b) 22 sq cm (c) 11 sq cm (d) 18 sq cm
22. 22.A rectangle is 19 cm long and 11 cm wide. What is its perimeter? (a) 209 cm (b) 60 cm (c) 30 cm (d) 49 cm
23. 23.A rectangle has an area of 135 sq cm and a length of 15 cm. What is its width? (a) 120 cm (b) 10 cm (c) 18 cm (d) 9 cm
24. 24.A rectangle is 15 cm long and 11 cm wide. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 180 sq cm (d) 165 sq cm
25. 25.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 34 sq cm (b) 81 sq cm (c) 17 sq cm (d) 72 sq cm
26. 26.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 16 sq cm (d) 24 sq cm
27. 27.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 13 cm (b) 12 cm (c) 165 cm (d) 24 cm
28. 28.A rectangle is 13 cm long and 10 cm wide. What is its perimeter? (a) 23 cm (b) 46 cm (c) 130 cm (d) 36 cm
29. 29.A rectangle has an area of 14 sq cm and a length of 7 cm. What is its width? (a) 7 cm (b) 4 cm (c) 3 cm (d) 2 cm
30. 30.A rectangle is 17 cm long and 6 cm wide. What is its perimeter? (a) 23 cm (b) 46 cm (c) 40 cm (d) 102 cm
31. 31.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 18 cm (b) 80 cm (c) 36 cm (d) 28 cm
32. 32.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 15 cm (b) 19 cm (c) 9 cm (d) 18 cm
33. 33.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 20 sq cm (c) 36 sq cm (d) 10 sq cm
34. 34.A rectangle has an area of 60 sq cm and a length of 15 cm. What is its width? (a) 4 cm (b) 45 cm (c) 8 cm (d) 5 cm
35. 35.A rectangle is 18 cm long and 7 cm wide. What is its area? (a) 50 sq cm (b) 126 sq cm (c) 144 sq cm (d) 25 sq cm
36. 36.A rectangle is 20 cm long and 4 cm wide. What is its area? (a) 80 sq cm (b) 48 sq cm (c) 100 sq cm (d) 24 sq cm
37. 37.A rectangle has an area of 114 sq cm and a length of 19 cm. What is its width? (a) 7 cm (b) 12 cm (c) 6 cm (d) 95 cm
38. 38.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 10 cm (b) 24 cm (c) 16 cm (d) 20 cm
39. 39.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 196 sq cm (d) 225 sq cm
40. 40.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 6 cm (b) 100 cm (c) 12 cm (d) 7 cm

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