Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 124 · 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) 12 sq cm (b) 36 sq cm (c) 24 sq cm (d) 49 sq cm
2. 2.A rectangle is 18 cm long and 7 cm wide. What is its perimeter? (a) 25 cm (b) 126 cm (c) 43 cm (d) 50 cm
3. 3.A rectangle is 20 cm long and 2 cm wide. What is its perimeter? (a) 40 cm (b) 22 cm (c) 42 cm (d) 44 cm
4. 4.A rectangle is 19 cm long and 7 cm wide. What is its perimeter? (a) 133 cm (b) 26 cm (c) 52 cm (d) 45 cm
5. 5.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 35 sq cm (b) 42 sq cm (c) 12 sq cm (d) 24 sq cm
6. 6.A rectangle is 20 cm long and 10 cm wide. What is its perimeter? (a) 200 cm (b) 50 cm (c) 30 cm (d) 60 cm
7. 7.A rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 4 cm (b) 6 cm (c) 3 cm (d) 8 cm
8. 8.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 90 sq cm (d) 80 sq cm
9. 9.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 12 cm (b) 24 cm (c) 13 cm (d) 198 cm
10. 10.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 31 sq cm (b) 240 sq cm (c) 62 sq cm (d) 220 sq cm
11. 11.A rectangle is 19 cm long and 9 cm wide. What is its area? (a) 171 sq cm (b) 28 sq cm (c) 56 sq cm (d) 190 sq cm
12. 12.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 12 cm (b) 13 cm (c) 24 cm (d) 176 cm
13. 13.A rectangle is 15 cm long and 11 cm wide. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 180 sq cm (d) 165 sq cm
14. 14.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 121 sq cm (c) 144 sq cm (d) 22 sq cm
15. 15.A rectangle is 11 cm long and 7 cm wide. What is its perimeter? (a) 18 cm (b) 77 cm (c) 36 cm (d) 29 cm
16. 16.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 12 cm (b) 22 cm (c) 170 cm (d) 11 cm
17. 17.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 32 cm (b) 60 cm (c) 26 cm (d) 16 cm
18. 18.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 100 sq cm (c) 36 sq cm (d) 81 sq cm
19. 19.A rectangle has an area of 55 sq cm and a length of 11 cm. What is its width? (a) 10 cm (b) 5 cm (c) 44 cm (d) 6 cm
20. 20.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
21. 21.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 50 sq cm (c) 60 sq cm (d) 15 sq cm
22. 22.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 48 sq cm (c) 144 sq cm (d) 24 sq cm
23. 23.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 90 sq cm (b) 22 sq cm (c) 72 sq cm (d) 44 sq cm
24. 24.A rectangle has an area of 135 sq cm and a length of 15 cm. What is its width? (a) 18 cm (b) 10 cm (c) 120 cm (d) 9 cm
25. 25.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 15 cm (b) 4 cm (c) 5 cm (d) 8 cm
26. 26.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 140 cm (b) 11 cm (c) 12 cm (d) 22 cm
27. 27.A rectangle is 17 cm long and 12 cm wide. What is its perimeter? (a) 29 cm (b) 46 cm (c) 204 cm (d) 58 cm
28. 28.A rectangle is 18 cm long and 11 cm wide. What is its perimeter? (a) 198 cm (b) 58 cm (c) 29 cm (d) 47 cm
29. 29.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 13 cm (b) 21 cm (c) 26 cm (d) 40 cm
30. 30.A rectangle has an area of 105 sq cm and a length of 15 cm. What is its width? (a) 8 cm (b) 7 cm (c) 14 cm (d) 90 cm
31. 31.A rectangle is 18 cm long and 5 cm wide. What is its perimeter? (a) 23 cm (b) 41 cm (c) 90 cm (d) 46 cm
32. 32.A rectangle is 15 cm long and 9 cm wide. What is its perimeter? (a) 135 cm (b) 39 cm (c) 48 cm (d) 24 cm
33. 33.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 100 cm (b) 12 cm (c) 6 cm (d) 7 cm
34. 34.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 17 cm (b) 11 cm (c) 30 cm (d) 22 cm
35. 35.A rectangle is 11 cm long and 9 cm wide. What is its perimeter? (a) 40 cm (b) 31 cm (c) 99 cm (d) 20 cm
36. 36.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 15 cm (b) 30 cm (c) 24 cm (d) 54 cm
37. 37.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 256 sq cm (c) 60 sq cm (d) 225 sq cm
38. 38.A rectangle is 12 cm long and 5 cm wide. What is its area? (a) 72 sq cm (b) 34 sq cm (c) 17 sq cm (d) 60 sq cm
39. 39.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
40. 40.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 36 sq cm (c) 10 sq cm (d) 25 sq cm

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