Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 765 · 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 24 cm. What is its area? (a) 36 sq cm (b) 12 sq cm (c) 24 sq cm (d) 49 sq cm
2. 2.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 100 sq cm (d) 121 sq cm
3. 3.A rectangle is 17 cm long and 8 cm wide. What is its perimeter? (a) 25 cm (b) 42 cm (c) 136 cm (d) 50 cm
4. 4.A rectangle has an area of 54 sq cm and a length of 9 cm. What is its width? (a) 7 cm (b) 12 cm (c) 45 cm (d) 6 cm
5. 5.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 121 sq cm (c) 44 sq cm (d) 144 sq cm
6. 6.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 18 sq cm (c) 36 sq cm (d) 100 sq cm
7. 7.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 65 sq cm (b) 78 sq cm (c) 18 sq cm (d) 36 sq cm
8. 8.A rectangle has an area of 112 sq cm and a length of 16 cm. What is its width? (a) 96 cm (b) 7 cm (c) 14 cm (d) 8 cm
9. 9.A rectangle is 16 cm long and 9 cm wide. What is its perimeter? (a) 25 cm (b) 144 cm (c) 50 cm (d) 41 cm
10. 10.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 9 cm (b) 16 cm (c) 8 cm (d) 63 cm
11. 11.A rectangle has an area of 32 sq cm and a length of 16 cm. What is its width? (a) 3 cm (b) 4 cm (c) 16 cm (d) 2 cm
12. 12.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 143 cm (b) 13 cm (c) 12 cm (d) 24 cm
13. 13.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 11 cm (b) 30 cm (c) 22 cm (d) 17 cm
14. 14.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 26 sq cm (b) 13 sq cm (c) 49 sq cm (d) 42 sq cm
15. 15.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 6 cm (b) 12 cm (c) 70 cm (d) 7 cm
16. 16.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 48 sq cm (b) 56 sq cm (c) 14 sq cm (d) 28 sq cm
17. 17.A rectangle is 11 cm long and 5 cm wide. What is its area? (a) 55 sq cm (b) 66 sq cm (c) 32 sq cm (d) 16 sq cm
18. 18.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
19. 19.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 32 sq cm (c) 64 sq cm (d) 16 sq cm
20. 20.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 30 sq cm (c) 60 sq cm (d) 256 sq cm
21. 21.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 80 cm (b) 18 cm (c) 28 cm (d) 36 cm
22. 22.A rectangle is 19 cm long and 2 cm wide. What is its perimeter? (a) 38 cm (b) 42 cm (c) 21 cm (d) 40 cm
23. 23.A rectangle has an area of 96 sq cm and a length of 16 cm. What is its width? (a) 12 cm (b) 7 cm (c) 80 cm (d) 6 cm
24. 24.A rectangle is 20 cm long and 9 cm wide. What is its area? (a) 58 sq cm (b) 29 sq cm (c) 180 sq cm (d) 200 sq cm
25. 25.A rectangle is 13 cm long and 12 cm wide. What is its perimeter? (a) 25 cm (b) 156 cm (c) 50 cm (d) 38 cm
26. 26.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 15 cm (b) 54 cm (c) 24 cm (d) 30 cm
27. 27.A rectangle has an area of 32 sq cm and a length of 8 cm. What is its width? (a) 24 cm (b) 5 cm (c) 8 cm (d) 4 cm
28. 28.A rectangle is 18 cm long and 2 cm wide. What is its perimeter? (a) 38 cm (b) 36 cm (c) 20 cm (d) 40 cm
29. 29.A rectangle has an area of 152 sq cm and a length of 19 cm. What is its width? (a) 9 cm (b) 8 cm (c) 133 cm (d) 16 cm
30. 30.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 31 sq cm (b) 220 sq cm (c) 62 sq cm (d) 240 sq cm
31. 31.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 12 cm (b) 11 cm (c) 160 cm (d) 22 cm
32. 32.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 56 sq cm (c) 28 sq cm (d) 225 sq cm
33. 33.A rectangle is 12 cm long and 8 cm wide. What is its perimeter? (a) 40 cm (b) 32 cm (c) 96 cm (d) 20 cm
34. 34.A rectangle is 12 cm long and 5 cm wide. What is its area? (a) 34 sq cm (b) 72 sq cm (c) 17 sq cm (d) 60 sq cm
35. 35.A rectangle is 19 cm long and 4 cm wide. What is its perimeter? (a) 42 cm (b) 46 cm (c) 23 cm (d) 76 cm
36. 36.A rectangle is 11 cm long and 6 cm wide. What is its perimeter? (a) 66 cm (b) 34 cm (c) 17 cm (d) 28 cm
37. 37.A rectangle has an area of 78 sq cm and a length of 13 cm. What is its width? (a) 6 cm (b) 65 cm (c) 7 cm (d) 12 cm
38. 38.A rectangle has an area of 44 sq cm and a length of 11 cm. What is its width? (a) 4 cm (b) 33 cm (c) 8 cm (d) 5 cm
39. 39.A rectangle is 14 cm long and 2 cm wide. What is its area? (a) 42 sq cm (b) 16 sq cm (c) 28 sq cm (d) 32 sq cm
40. 40.A rectangle has an area of 8 sq cm and a length of 4 cm. What is its width? (a) 3 cm (b) 4 cm (c) 2 cm (d) 1 cm

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