Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 602 · 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 44 cm. What is its area? (a) 22 sq cm (b) 144 sq cm (c) 121 sq cm (d) 44 sq cm
2. 2.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 196 sq cm (c) 26 sq cm (d) 52 sq cm
3. 3.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
4. 4.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its width? (a) 28 cm (b) 10 cm (c) 5 cm (d) 6 cm
5. 5.A rectangle has an area of 190 sq cm and a length of 19 cm. What is its width? (a) 171 cm (b) 20 cm (c) 10 cm (d) 11 cm
6. 6.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 24 cm (b) 30 cm (c) 54 cm (d) 15 cm
7. 7.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 60 sq cm (b) 48 sq cm (c) 32 sq cm (d) 16 sq cm
8. 8.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 13 cm (b) 12 cm (c) 220 cm (d) 24 cm
9. 9.A rectangle has an area of 8 sq cm and a length of 4 cm. What is its width? (a) 4 cm (b) 2 cm (c) 1 cm (d) 3 cm
10. 10.A rectangle has an area of 56 sq cm and a length of 14 cm. What is its width? (a) 42 cm (b) 8 cm (c) 5 cm (d) 4 cm
11. 11.A rectangle has an area of 36 sq cm and a length of 18 cm. What is its width? (a) 18 cm (b) 2 cm (c) 4 cm (d) 3 cm
12. 12.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 20 cm (b) 11 cm (c) 108 cm (d) 10 cm
13. 13.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 20 sq cm (c) 100 sq cm (d) 40 sq cm
14. 14.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 10 sq cm (b) 28 sq cm (c) 20 sq cm (d) 21 sq cm
15. 15.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 23 cm (b) 15 cm (c) 30 cm (d) 56 cm
16. 16.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its width? (a) 24 cm (b) 10 cm (c) 6 cm (d) 5 cm
17. 17.A rectangle is 18 cm long and 8 cm wide. What is its perimeter? (a) 44 cm (b) 144 cm (c) 52 cm (d) 26 cm
18. 18.A rectangle has an area of 104 sq cm and a length of 13 cm. What is its width? (a) 91 cm (b) 9 cm (c) 16 cm (d) 8 cm
19. 19.A rectangle is 13 cm long and 2 cm wide. What is its perimeter? (a) 26 cm (b) 28 cm (c) 30 cm (d) 15 cm
20. 20.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 15 sq cm (c) 60 sq cm (d) 50 sq cm
21. 21.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 36 sq cm (d) 49 sq cm
22. 22.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 24 sq cm (c) 48 sq cm (d) 169 sq cm
23. 23.A rectangle is 11 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 55 sq cm (c) 44 sq cm (d) 15 sq cm
24. 24.A rectangle is 16 cm long and 3 cm wide. What is its area? (a) 38 sq cm (b) 19 sq cm (c) 64 sq cm (d) 48 sq cm
25. 25.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 50 cm (b) 25 cm (c) 30 cm (d) 15 cm
26. 26.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
27. 27.A rectangle is 16 cm long and 10 cm wide. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 160 sq cm (d) 176 sq cm
28. 28.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 27 sq cm (d) 12 sq cm
29. 29.A rectangle is 16 cm long and 9 cm wide. What is its area? (a) 25 sq cm (b) 144 sq cm (c) 50 sq cm (d) 160 sq cm
30. 30.A rectangle is 15 cm long and 6 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 105 sq cm (d) 90 sq cm
31. 31.A rectangle is 14 cm long and 5 cm wide. What is its area? (a) 70 sq cm (b) 19 sq cm (c) 84 sq cm (d) 38 sq cm
32. 32.A rectangle has an area of 30 sq cm and a length of 10 cm. What is its width? (a) 3 cm (b) 4 cm (c) 6 cm (d) 20 cm
33. 33.A rectangle is 20 cm long and 4 cm wide. What is its area? (a) 100 sq cm (b) 48 sq cm (c) 80 sq cm (d) 24 sq cm
34. 34.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 14 sq cm (c) 64 sq cm (d) 28 sq cm
35. 35.A rectangle is 18 cm long and 10 cm wide. What is its area? (a) 198 sq cm (b) 180 sq cm (c) 56 sq cm (d) 28 sq cm
36. 36.A rectangle is 19 cm long and 10 cm wide. What is its area? (a) 190 sq cm (b) 29 sq cm (c) 209 sq cm (d) 58 sq cm
37. 37.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 187 cm (b) 24 cm (c) 12 cm (d) 13 cm
38. 38.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 18 cm (b) 36 cm (c) 80 cm (d) 28 cm
39. 39.A rectangle is 17 cm long and 6 cm wide. What is its area? (a) 46 sq cm (b) 23 sq cm (c) 102 sq cm (d) 119 sq cm
40. 40.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 9 cm (b) 18 cm (c) 96 cm (d) 10 cm

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