Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 174 · 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 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
2. 2.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 18 cm (b) 28 cm (c) 22 cm (d) 11 cm
3. 3.A rectangle has an area of 98 sq cm and a length of 14 cm. What is its width? (a) 84 cm (b) 8 cm (c) 14 cm (d) 7 cm
4. 4.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 24 sq cm (c) 169 sq cm (d) 48 sq cm
5. 5.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 22 cm (b) 120 cm (c) 12 cm (d) 11 cm
6. 6.A rectangle has an area of 90 sq cm and a length of 15 cm. What is its width? (a) 12 cm (b) 6 cm (c) 75 cm (d) 7 cm
7. 7.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
8. 8.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 25 sq cm (c) 36 sq cm (d) 20 sq cm
9. 9.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 81 sq cm (c) 100 sq cm (d) 36 sq cm
10. 10.A rectangle has an area of 128 sq cm and a length of 16 cm. What is its width? (a) 112 cm (b) 16 cm (c) 9 cm (d) 8 cm
11. 11.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 225 sq cm (c) 56 sq cm (d) 196 sq cm
12. 12.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 64 sq cm (d) 81 sq cm
13. 13.A rectangle is 17 cm long and 11 cm wide. What is its area? (a) 28 sq cm (b) 204 sq cm (c) 187 sq cm (d) 56 sq cm
14. 14.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 34 sq cm (b) 70 sq cm (c) 17 sq cm (d) 80 sq cm
15. 15.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 14 sq cm (c) 49 sq cm (d) 28 sq cm
16. 16.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 30 sq cm (c) 225 sq cm (d) 60 sq cm
17. 17.A rectangle is 19 cm long and 5 cm wide. What is its area? (a) 95 sq cm (b) 24 sq cm (c) 48 sq cm (d) 114 sq cm
18. 18.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 20 cm (b) 13 cm (c) 26 cm (d) 42 cm
19. 19.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 8 sq cm (c) 16 sq cm (d) 18 sq cm
20. 20.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 14 sq cm (b) 9 sq cm (c) 18 sq cm (d) 21 sq cm
21. 21.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 20 sq cm (c) 12 sq cm (d) 30 sq cm
22. 22.A rectangle is 14 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 42 sq cm (d) 28 sq cm
23. 23.A rectangle is 19 cm long and 9 cm wide. What is its perimeter? (a) 171 cm (b) 56 cm (c) 28 cm (d) 47 cm
24. 24.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 60 cm (b) 7 cm (c) 14 cm (d) 8 cm
25. 25.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 8 cm (b) 5 cm (c) 15 cm (d) 4 cm
26. 26.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 180 cm (b) 22 cm (c) 12 cm (d) 11 cm
27. 27.A rectangle is 20 cm long and 9 cm wide. What is its area? (a) 180 sq cm (b) 58 sq cm (c) 200 sq cm (d) 29 sq cm
28. 28.A rectangle is 12 cm long and 11 cm wide. What is its perimeter? (a) 46 cm (b) 35 cm (c) 23 cm (d) 132 cm
29. 29.A rectangle is 16 cm long and 3 cm wide. What is its perimeter? (a) 38 cm (b) 35 cm (c) 48 cm (d) 19 cm
30. 30.A rectangle has an area of 84 sq cm and a length of 12 cm. What is its width? (a) 14 cm (b) 8 cm (c) 72 cm (d) 7 cm
31. 31.A rectangle is 18 cm long and 5 cm wide. What is its perimeter? (a) 90 cm (b) 46 cm (c) 23 cm (d) 41 cm
32. 32.A rectangle is 18 cm long and 12 cm wide. What is its area? (a) 30 sq cm (b) 216 sq cm (c) 234 sq cm (d) 60 sq cm
33. 33.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 63 cm (b) 16 cm (c) 8 cm (d) 9 cm
34. 34.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 17 cm (b) 34 cm (c) 72 cm (d) 26 cm
35. 35.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 60 sq cm (b) 36 sq cm (c) 45 sq cm (d) 18 sq cm
36. 36.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 80 cm (b) 18 cm (c) 10 cm (d) 9 cm
37. 37.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 85 sq cm (b) 21 sq cm (c) 68 sq cm (d) 42 sq cm
38. 38.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 34 sq cm (b) 56 sq cm (c) 42 sq cm (d) 17 sq cm
39. 39.A rectangle is 19 cm long and 4 cm wide. What is its perimeter? (a) 76 cm (b) 42 cm (c) 23 cm (d) 46 cm
40. 40.A rectangle is 11 cm long and 8 cm wide. What is its area? (a) 19 sq cm (b) 88 sq cm (c) 99 sq cm (d) 38 sq cm

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