Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 9 · 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) 44 sq cm (d) 121 sq cm
2. 2.A rectangle is 19 cm long and 10 cm wide. What is its perimeter? (a) 190 cm (b) 58 cm (c) 29 cm (d) 48 cm
3. 3.A rectangle is 18 cm long and 11 cm wide. What is its area? (a) 58 sq cm (b) 216 sq cm (c) 198 sq cm (d) 29 sq cm
4. 4.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 30 sq cm (c) 60 sq cm (d) 225 sq cm
5. 5.A rectangle has an area of 119 sq cm and a length of 17 cm. What is its width? (a) 14 cm (b) 102 cm (c) 7 cm (d) 8 cm
6. 6.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 26 sq cm (b) 48 sq cm (c) 40 sq cm (d) 13 sq cm
7. 7.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 196 sq cm (c) 225 sq cm (d) 56 sq cm
8. 8.A rectangle is 16 cm long and 7 cm wide. What is its area? (a) 128 sq cm (b) 23 sq cm (c) 112 sq cm (d) 46 sq cm
9. 9.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 30 sq cm (d) 24 sq cm
10. 10.A rectangle has an area of 144 sq cm and a length of 16 cm. What is its width? (a) 128 cm (b) 9 cm (c) 10 cm (d) 18 cm
11. 11.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 14 sq cm (b) 9 sq cm (c) 21 sq cm (d) 18 sq cm
12. 12.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 6 cm (b) 3 cm (c) 16 cm (d) 4 cm
13. 13.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 36 sq cm (c) 24 sq cm (d) 12 sq cm
14. 14.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
15. 15.A rectangle is 12 cm long and 10 cm wide. What is its perimeter? (a) 120 cm (b) 44 cm (c) 22 cm (d) 34 cm
16. 16.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 16 cm (c) 10 cm (d) 20 cm
17. 17.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 68 sq cm (b) 51 sq cm (c) 20 sq cm (d) 40 sq cm
18. 18.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 40 sq cm (b) 30 sq cm (c) 26 sq cm (d) 13 sq cm
19. 19.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 24 sq cm (c) 144 sq cm (d) 48 sq cm
20. 20.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 170 sq cm (b) 54 sq cm (c) 27 sq cm (d) 187 sq cm
21. 21.A rectangle is 17 cm long and 6 cm wide. What is its area? (a) 46 sq cm (b) 119 sq cm (c) 102 sq cm (d) 23 sq cm
22. 22.A rectangle is 15 cm long and 10 cm wide. What is its perimeter? (a) 25 cm (b) 50 cm (c) 150 cm (d) 40 cm
23. 23.A rectangle has an area of 160 sq cm and a length of 16 cm. What is its width? (a) 10 cm (b) 144 cm (c) 11 cm (d) 20 cm
24. 24.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 14 sq cm (c) 28 sq cm (d) 49 sq cm
25. 25.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 22 sq cm (b) 11 sq cm (c) 24 sq cm (d) 32 sq cm
26. 26.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 16 sq cm (c) 32 sq cm (d) 81 sq cm
27. 27.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 45 cm (b) 18 cm (c) 36 cm (d) 33 cm
28. 28.A rectangle is 13 cm long and 10 cm wide. What is its perimeter? (a) 36 cm (b) 23 cm (c) 130 cm (d) 46 cm
29. 29.A rectangle is 18 cm long and 6 cm wide. What is its perimeter? (a) 24 cm (b) 48 cm (c) 108 cm (d) 42 cm
30. 30.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 65 sq cm (b) 36 sq cm (c) 78 sq cm (d) 18 sq cm
31. 31.A rectangle is 16 cm long and 12 cm wide. What is its area? (a) 208 sq cm (b) 28 sq cm (c) 56 sq cm (d) 192 sq cm
32. 32.A rectangle has an area of 54 sq cm and a length of 18 cm. What is its width? (a) 4 cm (b) 36 cm (c) 6 cm (d) 3 cm
33. 33.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its width? (a) 40 cm (b) 7 cm (c) 6 cm (d) 12 cm
34. 34.A rectangle is 14 cm long and 3 cm wide. What is its perimeter? (a) 34 cm (b) 42 cm (c) 31 cm (d) 17 cm
35. 35.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 150 cm (b) 11 cm (c) 22 cm (d) 12 cm
36. 36.A rectangle is 19 cm long and 3 cm wide. What is its area? (a) 57 sq cm (b) 44 sq cm (c) 22 sq cm (d) 76 sq cm
37. 37.A rectangle has an area of 24 sq cm and a length of 12 cm. What is its width? (a) 4 cm (b) 2 cm (c) 12 cm (d) 3 cm
38. 38.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 36 sq cm (b) 90 sq cm (c) 80 sq cm (d) 18 sq cm
39. 39.A rectangle is 11 cm long and 8 cm wide. What is its perimeter? (a) 19 cm (b) 88 cm (c) 38 cm (d) 30 cm
40. 40.A rectangle has an area of 30 sq cm and a length of 10 cm. What is its width? (a) 20 cm (b) 3 cm (c) 4 cm (d) 6 cm

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