Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 205 · 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 114 sq cm and a length of 19 cm. What is its width? (a) 6 cm (b) 12 cm (c) 7 cm (d) 95 cm
2. 2.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 26 cm (b) 32 cm (c) 16 cm (d) 60 cm
3. 3.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 64 sq cm (c) 28 sq cm (d) 49 sq cm
4. 4.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 42 sq cm (b) 12 sq cm (c) 35 sq cm (d) 24 sq cm
5. 5.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 9 sq cm (b) 14 sq cm (c) 21 sq cm (d) 18 sq cm
6. 6.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 24 sq cm (c) 32 sq cm (d) 12 sq cm
7. 7.A rectangle has an area of 60 sq cm and a length of 10 cm. What is its width? (a) 6 cm (b) 50 cm (c) 12 cm (d) 7 cm
8. 8.A rectangle is 15 cm long and 8 cm wide. What is its area? (a) 23 sq cm (b) 120 sq cm (c) 135 sq cm (d) 46 sq cm
9. 9.A rectangle is 17 cm long and 12 cm wide. What is its perimeter? (a) 204 cm (b) 29 cm (c) 58 cm (d) 46 cm
10. 10.A rectangle has an area of 144 sq cm and a length of 18 cm. What is its width? (a) 16 cm (b) 9 cm (c) 126 cm (d) 8 cm
11. 11.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 18 sq cm (c) 81 sq cm (d) 36 sq cm
12. 12.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 169 sq cm (c) 24 sq cm (d) 144 sq cm
13. 13.A rectangle has an area of 120 sq cm and a length of 15 cm. What is its width? (a) 8 cm (b) 105 cm (c) 9 cm (d) 16 cm
14. 14.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 32 cm (b) 12 cm (c) 24 cm (d) 20 cm
15. 15.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 27 sq cm (b) 54 sq cm (c) 187 sq cm (d) 170 sq cm
16. 16.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 13 cm (b) 24 cm (c) 165 cm (d) 12 cm
17. 17.A rectangle is 18 cm long and 7 cm wide. What is its area? (a) 50 sq cm (b) 25 sq cm (c) 144 sq cm (d) 126 sq cm
18. 18.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 16 sq cm (b) 60 sq cm (c) 32 sq cm (d) 70 sq cm
19. 19.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 6 cm (b) 3 cm (c) 4 cm (d) 2 cm
20. 20.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 60 sq cm (c) 30 sq cm (d) 256 sq cm
21. 21.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 117 sq cm (b) 104 sq cm (c) 42 sq cm (d) 21 sq cm
22. 22.A rectangle is 19 cm long and 11 cm wide. What is its area? (a) 209 sq cm (b) 228 sq cm (c) 30 sq cm (d) 60 sq cm
23. 23.A rectangle is 18 cm long and 8 cm wide. What is its perimeter? (a) 44 cm (b) 52 cm (c) 144 cm (d) 26 cm
24. 24.A rectangle is 18 cm long and 11 cm wide. What is its area? (a) 216 sq cm (b) 198 sq cm (c) 29 sq cm (d) 58 sq cm
25. 25.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 9 cm (b) 119 cm (c) 16 cm (d) 8 cm
26. 26.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 22 sq cm (b) 11 sq cm (c) 28 sq cm (d) 35 sq cm
27. 27.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 10 sq cm (c) 20 sq cm (d) 25 sq cm
28. 28.A rectangle is 16 cm long and 3 cm wide. What is its area? (a) 38 sq cm (b) 19 sq cm (c) 48 sq cm (d) 64 sq cm
29. 29.A rectangle is 12 cm long and 8 cm wide. What is its perimeter? (a) 20 cm (b) 32 cm (c) 96 cm (d) 40 cm
30. 30.A rectangle is 19 cm long and 3 cm wide. What is its perimeter? (a) 57 cm (b) 22 cm (c) 41 cm (d) 44 cm
31. 31.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its width? (a) 7 cm (b) 12 cm (c) 6 cm (d) 35 cm
32. 32.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 81 sq cm (c) 32 sq cm (d) 64 sq cm
33. 33.A rectangle has an area of 42 sq cm and a length of 14 cm. What is its width? (a) 3 cm (b) 4 cm (c) 28 cm (d) 6 cm
34. 34.A rectangle has an area of 56 sq cm and a length of 14 cm. What is its width? (a) 4 cm (b) 5 cm (c) 42 cm (d) 8 cm
35. 35.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 90 sq cm (d) 80 sq cm
36. 36.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 10 sq cm (c) 20 sq cm (d) 30 sq cm
37. 37.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 100 sq cm (c) 121 sq cm (d) 40 sq cm
38. 38.A rectangle is 18 cm long and 6 cm wide. What is its area? (a) 48 sq cm (b) 126 sq cm (c) 108 sq cm (d) 24 sq cm
39. 39.A rectangle is 17 cm long and 8 cm wide. What is its area? (a) 25 sq cm (b) 136 sq cm (c) 153 sq cm (d) 50 sq cm
40. 40.A rectangle is 19 cm long and 2 cm wide. What is its perimeter? (a) 21 cm (b) 40 cm (c) 42 cm (d) 38 cm

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