Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 46 · 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 160 sq cm and a length of 20 cm. What is its width? (a) 140 cm (b) 9 cm (c) 16 cm (d) 8 cm
2. 2.A rectangle has an area of 20 sq cm and a length of 10 cm. What is its width? (a) 10 cm (b) 4 cm (c) 2 cm (d) 3 cm
3. 3.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 225 sq cm (c) 28 sq cm (d) 56 sq cm
4. 4.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 15 sq cm (b) 63 sq cm (c) 30 sq cm (d) 54 sq cm
5. 5.A rectangle is 20 cm long and 9 cm wide. What is its area? (a) 200 sq cm (b) 58 sq cm (c) 180 sq cm (d) 29 sq cm
6. 6.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 21 sq cm (b) 121 sq cm (c) 42 sq cm (d) 110 sq cm
7. 7.A rectangle is 12 cm long and 11 cm wide. What is its area? (a) 144 sq cm (b) 132 sq cm (c) 23 sq cm (d) 46 sq cm
8. 8.A rectangle is 17 cm long and 7 cm wide. What is its area? (a) 136 sq cm (b) 48 sq cm (c) 24 sq cm (d) 119 sq cm
9. 9.A rectangle is 18 cm long and 3 cm wide. What is its area? (a) 42 sq cm (b) 54 sq cm (c) 72 sq cm (d) 21 sq cm
10. 10.A rectangle has an area of 54 sq cm and a length of 9 cm. What is its width? (a) 45 cm (b) 7 cm (c) 12 cm (d) 6 cm
11. 11.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 81 sq cm (c) 100 sq cm (d) 18 sq cm
12. 12.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
13. 13.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 48 sq cm (c) 24 sq cm (d) 144 sq cm
14. 14.A rectangle is 18 cm long and 2 cm wide. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 36 sq cm (d) 54 sq cm
15. 15.A rectangle has an area of 16 sq cm and a length of 8 cm. What is its width? (a) 8 cm (b) 3 cm (c) 4 cm (d) 2 cm
16. 16.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 225 sq cm (c) 30 sq cm (d) 256 sq cm
17. 17.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 16 cm (b) 24 cm (c) 20 cm (d) 10 cm
18. 18.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 14 cm (c) 8 cm (d) 12 cm
19. 19.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 40 sq cm (c) 32 sq cm (d) 12 sq cm
20. 20.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 17 cm (b) 72 cm (c) 26 cm (d) 34 cm
21. 21.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 17 cm (b) 30 cm (c) 22 cm (d) 11 cm
22. 22.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
23. 23.A rectangle has an area of 60 sq cm and a length of 10 cm. What is its width? (a) 7 cm (b) 50 cm (c) 12 cm (d) 6 cm
24. 24.A rectangle has an area of 80 sq cm and a length of 10 cm. What is its width? (a) 8 cm (b) 16 cm (c) 70 cm (d) 9 cm
25. 25.A rectangle is 14 cm long and 6 cm wide. What is its perimeter? (a) 20 cm (b) 34 cm (c) 40 cm (d) 84 cm
26. 26.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 10 cm (c) 17 cm (d) 20 cm
27. 27.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
28. 28.A rectangle has an area of 14 sq cm and a length of 7 cm. What is its width? (a) 4 cm (b) 2 cm (c) 3 cm (d) 7 cm
29. 29.A rectangle is 18 cm long and 8 cm wide. What is its area? (a) 144 sq cm (b) 52 sq cm (c) 162 sq cm (d) 26 sq cm
30. 30.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 14 sq cm (c) 28 sq cm (d) 64 sq cm
31. 31.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 28 cm (b) 80 cm (c) 36 cm (d) 18 cm
32. 32.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its width? (a) 5 cm (b) 27 cm (c) 8 cm (d) 4 cm
33. 33.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 121 sq cm (c) 40 sq cm (d) 20 sq cm
34. 34.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 28 sq cm (b) 44 sq cm (c) 14 sq cm (d) 33 sq cm
35. 35.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 32 sq cm (c) 16 sq cm (d) 64 sq cm
36. 36.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 170 sq cm (b) 27 sq cm (c) 187 sq cm (d) 54 sq cm
37. 37.A rectangle is 17 cm long and 7 cm wide. What is its perimeter? (a) 48 cm (b) 119 cm (c) 24 cm (d) 41 cm
38. 38.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 13 cm (c) 26 cm (d) 24 cm
39. 39.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 16 sq cm (c) 24 sq cm (d) 10 sq cm
40. 40.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 11 sq cm (c) 32 sq cm (d) 22 sq cm

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