Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 63 · 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 56 cm. What is its area? (a) 28 sq cm (b) 196 sq cm (c) 56 sq cm (d) 225 sq cm
2. 2.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 100 sq cm (c) 121 sq cm (d) 20 sq cm
3. 3.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 144 sq cm (c) 48 sq cm (d) 169 sq cm
4. 4.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 9 sq cm (b) 21 sq cm (c) 14 sq cm (d) 18 sq cm
5. 5.A rectangle is 16 cm long and 2 cm wide. What is its area? (a) 36 sq cm (b) 48 sq cm (c) 32 sq cm (d) 18 sq cm
6. 6.A rectangle has an area of 95 sq cm and a length of 19 cm. What is its width? (a) 6 cm (b) 10 cm (c) 5 cm (d) 76 cm
7. 7.A rectangle is 14 cm long and 4 cm wide. What is its perimeter? (a) 56 cm (b) 32 cm (c) 18 cm (d) 36 cm
8. 8.A rectangle is 18 cm long and 9 cm wide. What is its area? (a) 162 sq cm (b) 27 sq cm (c) 180 sq cm (d) 54 sq cm
9. 9.A rectangle is 13 cm long and 4 cm wide. What is its area? (a) 17 sq cm (b) 34 sq cm (c) 52 sq cm (d) 65 sq cm
10. 10.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 120 cm (b) 11 cm (c) 12 cm (d) 22 cm
11. 11.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 32 sq cm (b) 48 sq cm (c) 60 sq cm (d) 16 sq cm
12. 12.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 144 sq cm (d) 121 sq cm
13. 13.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 13 sq cm (b) 26 sq cm (c) 45 sq cm (d) 36 sq cm
14. 14.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 7 cm (b) 6 cm (c) 100 cm (d) 12 cm
15. 15.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 120 sq cm (d) 108 sq cm
16. 16.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its width? (a) 8 cm (b) 108 cm (c) 7 cm (d) 14 cm
17. 17.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 14 cm (c) 24 cm (d) 40 cm
18. 18.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 28 cm (b) 14 cm (c) 25 cm (d) 33 cm
19. 19.A rectangle has an area of 190 sq cm and a length of 19 cm. What is its width? (a) 11 cm (b) 20 cm (c) 10 cm (d) 171 cm
20. 20.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 50 sq cm (b) 40 sq cm (c) 28 sq cm (d) 14 sq cm
21. 21.A rectangle is 18 cm long and 3 cm wide. What is its area? (a) 21 sq cm (b) 72 sq cm (c) 54 sq cm (d) 42 sq cm
22. 22.A rectangle is 19 cm long and 9 cm wide. What is its area? (a) 171 sq cm (b) 28 sq cm (c) 190 sq cm (d) 56 sq cm
23. 23.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 12 cm (c) 16 cm (d) 8 cm
24. 24.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 56 sq cm (b) 30 sq cm (c) 15 sq cm (d) 64 sq cm
25. 25.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 48 cm (b) 28 cm (c) 16 cm (d) 32 cm
26. 26.A rectangle is 12 cm long and 6 cm wide. What is its perimeter? (a) 18 cm (b) 36 cm (c) 72 cm (d) 30 cm
27. 27.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 10 cm (b) 11 cm (c) 180 cm (d) 20 cm
28. 28.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 12 sq cm (c) 24 sq cm (d) 36 sq cm
29. 29.A rectangle is 13 cm long and 6 cm wide. What is its area? (a) 38 sq cm (b) 91 sq cm (c) 19 sq cm (d) 78 sq cm
30. 30.A rectangle has an area of 76 sq cm and a length of 19 cm. What is its width? (a) 8 cm (b) 57 cm (c) 4 cm (d) 5 cm
31. 31.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 200 cm (b) 11 cm (c) 12 cm (d) 22 cm
32. 32.A rectangle is 20 cm long and 2 cm wide. What is its perimeter? (a) 40 cm (b) 42 cm (c) 22 cm (d) 44 cm
33. 33.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 16 cm (c) 9 cm (d) 18 cm
34. 34.A rectangle has an area of 44 sq cm and a length of 11 cm. What is its width? (a) 5 cm (b) 4 cm (c) 33 cm (d) 8 cm
35. 35.A rectangle has an area of 52 sq cm and a length of 13 cm. What is its width? (a) 4 cm (b) 8 cm (c) 5 cm (d) 39 cm
36. 36.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 64 sq cm (c) 28 sq cm (d) 14 sq cm
37. 37.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 36 cm (b) 80 cm (c) 18 cm (d) 28 cm
38. 38.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 11 sq cm (b) 27 sq cm (c) 22 sq cm (d) 18 sq cm
39. 39.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 81 sq cm (c) 32 sq cm (d) 16 sq cm
40. 40.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 17 sq cm (b) 81 sq cm (c) 34 sq cm (d) 72 sq cm

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