Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 38 · 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 143 sq cm and a length of 13 cm. What is its width? (a) 12 cm (b) 130 cm (c) 22 cm (d) 11 cm
2. 2.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 22 cm (b) 12 cm (c) 11 cm (d) 120 cm
3. 3.A rectangle has an area of 114 sq cm and a length of 19 cm. What is its width? (a) 7 cm (b) 95 cm (c) 12 cm (d) 6 cm
4. 4.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
5. 5.A rectangle is 16 cm long and 5 cm wide. What is its perimeter? (a) 21 cm (b) 42 cm (c) 80 cm (d) 37 cm
6. 6.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
7. 7.A rectangle has an area of 28 sq cm and a length of 14 cm. What is its width? (a) 4 cm (b) 3 cm (c) 2 cm (d) 14 cm
8. 8.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 25 sq cm (c) 10 sq cm (d) 20 sq cm
9. 9.A rectangle is 18 cm long and 10 cm wide. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 198 sq cm (d) 180 sq cm
10. 10.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 108 sq cm (b) 46 sq cm (c) 90 sq cm (d) 23 sq cm
11. 11.A rectangle is 19 cm long and 4 cm wide. What is its perimeter? (a) 42 cm (b) 76 cm (c) 23 cm (d) 46 cm
12. 12.A rectangle is 20 cm long and 5 cm wide. What is its area? (a) 120 sq cm (b) 25 sq cm (c) 100 sq cm (d) 50 sq cm
13. 13.A rectangle is 18 cm long and 9 cm wide. What is its area? (a) 162 sq cm (b) 180 sq cm (c) 27 sq cm (d) 54 sq cm
14. 14.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 40 sq cm (b) 26 sq cm (c) 30 sq cm (d) 13 sq cm
15. 15.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
16. 16.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 14 sq cm (b) 18 sq cm (c) 9 sq cm (d) 21 sq cm
17. 17.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 225 sq cm (d) 196 sq cm
18. 18.A rectangle is 19 cm long and 6 cm wide. What is its perimeter? (a) 25 cm (b) 44 cm (c) 114 cm (d) 50 cm
19. 19.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its width? (a) 4 cm (b) 6 cm (c) 3 cm (d) 24 cm
20. 20.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 36 sq cm (c) 49 sq cm (d) 24 sq cm
21. 21.A rectangle is 14 cm long and 4 cm wide. What is its area? (a) 56 sq cm (b) 18 sq cm (c) 36 sq cm (d) 70 sq cm
22. 22.A rectangle is 16 cm long and 6 cm wide. What is its perimeter? (a) 22 cm (b) 96 cm (c) 38 cm (d) 44 cm
23. 23.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 50 sq cm (c) 60 sq cm (d) 15 sq cm
24. 24.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 17 sq cm (b) 34 sq cm (c) 80 sq cm (d) 70 sq cm
25. 25.A rectangle has an area of 80 sq cm and a length of 16 cm. What is its width? (a) 64 cm (b) 5 cm (c) 10 cm (d) 6 cm
26. 26.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 196 sq cm (c) 52 sq cm (d) 26 sq cm
27. 27.A rectangle has an area of 38 sq cm and a length of 19 cm. What is its width? (a) 19 cm (b) 3 cm (c) 4 cm (d) 2 cm
28. 28.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 100 sq cm (c) 18 sq cm (d) 81 sq cm
29. 29.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 24 cm (b) 12 cm (c) 27 cm (d) 21 cm
30. 30.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
31. 31.A rectangle is 19 cm long and 11 cm wide. What is its area? (a) 228 sq cm (b) 30 sq cm (c) 209 sq cm (d) 60 sq cm
32. 32.A rectangle has an area of 96 sq cm and a length of 12 cm. What is its width? (a) 84 cm (b) 8 cm (c) 9 cm (d) 16 cm
33. 33.A rectangle is 14 cm long and 6 cm wide. What is its area? (a) 84 sq cm (b) 98 sq cm (c) 40 sq cm (d) 20 sq cm
34. 34.A rectangle is 16 cm long and 2 cm wide. What is its perimeter? (a) 34 cm (b) 32 cm (c) 36 cm (d) 18 cm
35. 35.A rectangle is 11 cm long and 5 cm wide. What is its perimeter? (a) 32 cm (b) 55 cm (c) 16 cm (d) 27 cm
36. 36.A rectangle is 17 cm long and 9 cm wide. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 170 sq cm (d) 153 sq cm
37. 37.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 16 sq cm (d) 24 sq cm
38. 38.A rectangle has an area of 108 sq cm and a length of 18 cm. What is its width? (a) 90 cm (b) 12 cm (c) 6 cm (d) 7 cm
39. 39.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 12 sq cm (c) 18 sq cm (d) 8 sq cm
40. 40.A rectangle has an area of 60 sq cm and a length of 20 cm. What is its width? (a) 3 cm (b) 6 cm (c) 4 cm (d) 40 cm

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