Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 238 · 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 140 sq cm and a length of 14 cm. What is its width? (a) 126 cm (b) 10 cm (c) 11 cm (d) 20 cm
2. 2.A rectangle is 17 cm long and 3 cm wide. What is its perimeter? (a) 37 cm (b) 51 cm (c) 20 cm (d) 40 cm
3. 3.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 18 cm (c) 16 cm (d) 9 cm
4. 4.A rectangle has an area of 22 sq cm and a length of 11 cm. What is its width? (a) 11 cm (b) 4 cm (c) 3 cm (d) 2 cm
5. 5.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 36 sq cm (c) 81 sq cm (d) 18 sq cm
6. 6.A rectangle is 19 cm long and 12 cm wide. What is its area? (a) 247 sq cm (b) 62 sq cm (c) 228 sq cm (d) 31 sq cm
7. 7.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 20 cm (b) 180 cm (c) 10 cm (d) 11 cm
8. 8.A rectangle is 13 cm long and 11 cm wide. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 156 sq cm (d) 143 sq cm
9. 9.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 35 sq cm (c) 12 sq cm (d) 42 sq cm
10. 10.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
11. 11.A rectangle is 10 cm long and 9 cm wide. What is its perimeter? (a) 29 cm (b) 38 cm (c) 90 cm (d) 19 cm
12. 12.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 12 sq cm (c) 36 sq cm (d) 24 sq cm
13. 13.A rectangle has an area of 28 sq cm and a length of 14 cm. What is its width? (a) 14 cm (b) 4 cm (c) 3 cm (d) 2 cm
14. 14.A rectangle is 16 cm long and 2 cm wide. What is its perimeter? (a) 32 cm (b) 34 cm (c) 36 cm (d) 18 cm
15. 15.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 12 sq cm (c) 32 sq cm (d) 24 sq cm
16. 16.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 196 sq cm (d) 169 sq cm
17. 17.A rectangle is 19 cm long and 7 cm wide. What is its perimeter? (a) 45 cm (b) 52 cm (c) 133 cm (d) 26 cm
18. 18.A rectangle has an area of 75 sq cm and a length of 15 cm. What is its width? (a) 10 cm (b) 5 cm (c) 60 cm (d) 6 cm
19. 19.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 198 cm (b) 12 cm (c) 13 cm (d) 24 cm
20. 20.A rectangle is 13 cm long and 5 cm wide. What is its perimeter? (a) 65 cm (b) 18 cm (c) 36 cm (d) 31 cm
21. 21.A rectangle has an area of 36 sq cm and a length of 18 cm. What is its width? (a) 4 cm (b) 2 cm (c) 3 cm (d) 18 cm
22. 22.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 48 sq cm (b) 32 sq cm (c) 16 sq cm (d) 60 sq cm
23. 23.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 9 cm (b) 15 cm (c) 18 cm (d) 19 cm
24. 24.A rectangle has an area of 42 sq cm and a length of 14 cm. What is its width? (a) 28 cm (b) 4 cm (c) 3 cm (d) 6 cm
25. 25.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 56 sq cm (c) 225 sq cm (d) 28 sq cm
26. 26.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
27. 27.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 22 sq cm (b) 24 sq cm (c) 11 sq cm (d) 32 sq cm
28. 28.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 64 sq cm (c) 14 sq cm (d) 28 sq cm
29. 29.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 36 sq cm (d) 25 sq cm
30. 30.A rectangle is 14 cm long and 5 cm wide. What is its perimeter? (a) 33 cm (b) 70 cm (c) 19 cm (d) 38 cm
31. 31.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 100 sq cm (c) 20 sq cm (d) 40 sq cm
32. 32.A rectangle is 12 cm long and 6 cm wide. What is its area? (a) 18 sq cm (b) 72 sq cm (c) 36 sq cm (d) 84 sq cm
33. 33.A rectangle is 16 cm long and 7 cm wide. What is its perimeter? (a) 112 cm (b) 23 cm (c) 39 cm (d) 46 cm
34. 34.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
35. 35.A rectangle has an area of 105 sq cm and a length of 15 cm. What is its width? (a) 90 cm (b) 14 cm (c) 8 cm (d) 7 cm
36. 36.A rectangle has an area of 144 sq cm and a length of 16 cm. What is its width? (a) 10 cm (b) 18 cm (c) 9 cm (d) 128 cm
37. 37.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 10 sq cm (c) 20 sq cm (d) 24 sq cm
38. 38.A rectangle is 13 cm long and 12 cm wide. What is its perimeter? (a) 38 cm (b) 50 cm (c) 25 cm (d) 156 cm
39. 39.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 15 sq cm (b) 30 sq cm (c) 48 sq cm (d) 36 sq cm
40. 40.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 9 cm (b) 8 cm (c) 16 cm (d) 63 cm

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