Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 574 · 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 28 sq cm and a length of 14 cm. What is its width? (a) 2 cm (b) 3 cm (c) 4 cm (d) 14 cm
2. 2.A rectangle is 14 cm long and 6 cm wide. What is its area? (a) 98 sq cm (b) 84 sq cm (c) 40 sq cm (d) 20 sq cm
3. 3.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 196 sq cm (c) 52 sq cm (d) 169 sq cm
4. 4.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 187 cm (b) 12 cm (c) 13 cm (d) 24 cm
5. 5.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 121 sq cm (c) 144 sq cm (d) 44 sq cm
6. 6.A rectangle is 13 cm long and 7 cm wide. What is its area? (a) 91 sq cm (b) 104 sq cm (c) 20 sq cm (d) 40 sq cm
7. 7.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 196 sq cm (c) 28 sq cm (d) 225 sq cm
8. 8.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 100 sq cm (d) 121 sq cm
9. 9.A rectangle is 14 cm long and 3 cm wide. What is its perimeter? (a) 17 cm (b) 31 cm (c) 42 cm (d) 34 cm
10. 10.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 64 sq cm (c) 32 sq cm (d) 16 sq cm
11. 11.A rectangle is 16 cm long and 12 cm wide. What is its area? (a) 28 sq cm (b) 192 sq cm (c) 208 sq cm (d) 56 sq cm
12. 12.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 17 cm (b) 10 cm (c) 21 cm (d) 20 cm
13. 13.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 15 cm (b) 30 cm (c) 24 cm (d) 54 cm
14. 14.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 23 sq cm (b) 108 sq cm (c) 90 sq cm (d) 46 sq cm
15. 15.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 20 sq cm (c) 10 sq cm (d) 36 sq cm
16. 16.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 49 sq cm (d) 64 sq cm
17. 17.A rectangle is 12 cm long and 10 cm wide. What is its perimeter? (a) 22 cm (b) 34 cm (c) 120 cm (d) 44 cm
18. 18.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 11 cm (b) 12 cm (c) 130 cm (d) 22 cm
19. 19.A rectangle has an area of 85 sq cm and a length of 17 cm. What is its width? (a) 68 cm (b) 6 cm (c) 10 cm (d) 5 cm
20. 20.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 54 sq cm (b) 27 sq cm (c) 187 sq cm (d) 170 sq cm
21. 21.A rectangle has an area of 48 sq cm and a length of 12 cm. What is its width? (a) 5 cm (b) 8 cm (c) 4 cm (d) 36 cm
22. 22.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 17 sq cm (b) 34 sq cm (c) 56 sq cm (d) 42 sq cm
23. 23.A rectangle is 17 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 102 sq cm (d) 85 sq cm
24. 24.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 72 sq cm (b) 32 sq cm (c) 63 sq cm (d) 16 sq cm
25. 25.A rectangle is 20 cm long and 3 cm wide. What is its perimeter? (a) 46 cm (b) 23 cm (c) 43 cm (d) 60 cm
26. 26.A rectangle is 16 cm long and 11 cm wide. What is its area? (a) 192 sq cm (b) 27 sq cm (c) 54 sq cm (d) 176 sq cm
27. 27.A rectangle is 19 cm long and 3 cm wide. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 76 sq cm (d) 57 sq cm
28. 28.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 28 sq cm (d) 21 sq cm
29. 29.A rectangle is 13 cm long and 8 cm wide. What is its perimeter? (a) 104 cm (b) 21 cm (c) 34 cm (d) 42 cm
30. 30.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 14 sq cm (b) 54 sq cm (c) 28 sq cm (d) 45 sq cm
31. 31.A rectangle is 19 cm long and 8 cm wide. What is its area? (a) 54 sq cm (b) 27 sq cm (c) 152 sq cm (d) 171 sq cm
32. 32.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 11 cm (b) 20 cm (c) 10 cm (d) 153 cm
33. 33.A rectangle is 15 cm long and 10 cm wide. What is its perimeter? (a) 150 cm (b) 50 cm (c) 25 cm (d) 40 cm
34. 34.A rectangle is 17 cm long and 10 cm wide. What is its perimeter? (a) 44 cm (b) 170 cm (c) 27 cm (d) 54 cm
35. 35.A rectangle has an area of 40 sq cm and a length of 20 cm. What is its width? (a) 20 cm (b) 3 cm (c) 4 cm (d) 2 cm
36. 36.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 48 sq cm (b) 40 sq cm (c) 13 sq cm (d) 26 sq cm
37. 37.A rectangle is 20 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 42 cm (c) 44 cm (d) 40 cm
38. 38.A rectangle is 14 cm long and 2 cm wide. What is its area? (a) 42 sq cm (b) 16 sq cm (c) 32 sq cm (d) 28 sq cm
39. 39.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 11 cm (b) 22 cm (c) 30 cm (d) 17 cm
40. 40.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 135 cm (b) 10 cm (c) 20 cm (d) 11 cm

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