Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 127 · 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 52 cm. What is its area? (a) 52 sq cm (b) 196 sq cm (c) 26 sq cm (d) 169 sq cm
2. 2.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 81 sq cm (c) 64 sq cm (d) 16 sq cm
3. 3.A rectangle has an area of 51 sq cm and a length of 17 cm. What is its width? (a) 34 cm (b) 4 cm (c) 3 cm (d) 6 cm
4. 4.A rectangle has an area of 63 sq cm and a length of 9 cm. What is its width? (a) 8 cm (b) 7 cm (c) 14 cm (d) 54 cm
5. 5.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 121 sq cm (c) 144 sq cm (d) 44 sq cm
6. 6.A rectangle is 11 cm long and 6 cm wide. What is its area? (a) 77 sq cm (b) 17 sq cm (c) 34 sq cm (d) 66 sq cm
7. 7.A rectangle is 18 cm long and 2 cm wide. What is its perimeter? (a) 36 cm (b) 20 cm (c) 40 cm (d) 38 cm
8. 8.A rectangle is 15 cm long and 6 cm wide. What is its area? (a) 90 sq cm (b) 105 sq cm (c) 42 sq cm (d) 21 sq cm
9. 9.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 256 sq cm (c) 30 sq cm (d) 60 sq cm
10. 10.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 9 sq cm (b) 24 sq cm (c) 19 sq cm (d) 18 sq cm
11. 11.A rectangle is 18 cm long and 9 cm wide. What is its perimeter? (a) 45 cm (b) 27 cm (c) 162 cm (d) 54 cm
12. 12.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 10 cm (b) 18 cm (c) 20 cm (d) 16 cm
13. 13.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 24 sq cm (c) 12 sq cm (d) 49 sq cm
14. 14.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its width? (a) 4 cm (b) 3 cm (c) 10 cm (d) 6 cm
15. 15.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 81 sq cm (d) 100 sq cm
16. 16.A rectangle is 15 cm long and 12 cm wide. What is its area? (a) 180 sq cm (b) 54 sq cm (c) 27 sq cm (d) 195 sq cm
17. 17.A rectangle is 11 cm long and 7 cm wide. What is its area? (a) 18 sq cm (b) 88 sq cm (c) 77 sq cm (d) 36 sq cm
18. 18.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 170 sq cm (b) 187 sq cm (c) 54 sq cm (d) 27 sq cm
19. 19.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) 16 cm (d) 133 cm
20. 20.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 36 sq cm (c) 20 sq cm (d) 25 sq cm
21. 21.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 4 cm (b) 8 cm (c) 5 cm (d) 21 cm
22. 22.A rectangle is 13 cm long and 7 cm wide. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 91 sq cm (d) 104 sq cm
23. 23.A rectangle is 12 cm long and 5 cm wide. What is its area? (a) 34 sq cm (b) 60 sq cm (c) 17 sq cm (d) 72 sq cm
24. 24.A rectangle is 18 cm long and 8 cm wide. What is its area? (a) 162 sq cm (b) 26 sq cm (c) 144 sq cm (d) 52 sq cm
25. 25.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 24 cm (b) 13 cm (c) 198 cm (d) 12 cm
26. 26.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 126 sq cm (b) 46 sq cm (c) 140 sq cm (d) 23 sq cm
27. 27.A rectangle is 20 cm long and 5 cm wide. What is its perimeter? (a) 25 cm (b) 50 cm (c) 45 cm (d) 100 cm
28. 28.A rectangle is 11 cm long and 6 cm wide. What is its perimeter? (a) 28 cm (b) 66 cm (c) 34 cm (d) 17 cm
29. 29.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 136 cm (b) 18 cm (c) 10 cm (d) 9 cm
30. 30.A rectangle is 14 cm long and 2 cm wide. What is its perimeter? (a) 30 cm (b) 28 cm (c) 16 cm (d) 32 cm
31. 31.A rectangle is 12 cm long and 3 cm wide. What is its perimeter? (a) 27 cm (b) 30 cm (c) 36 cm (d) 15 cm
32. 32.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 28 cm (b) 25 cm (c) 14 cm (d) 33 cm
33. 33.A rectangle is 20 cm long and 12 cm wide. What is its area? (a) 240 sq cm (b) 64 sq cm (c) 260 sq cm (d) 32 sq cm
34. 34.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 64 sq cm (c) 28 sq cm (d) 49 sq cm
35. 35.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 240 sq cm (b) 31 sq cm (c) 62 sq cm (d) 220 sq cm
36. 36.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 17 cm (b) 11 cm (c) 22 cm (d) 30 cm
37. 37.A rectangle is 16 cm long and 12 cm wide. What is its perimeter? (a) 44 cm (b) 56 cm (c) 192 cm (d) 28 cm
38. 38.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 15 cm (b) 30 cm (c) 50 cm (d) 25 cm
39. 39.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 51 sq cm (c) 68 sq cm (d) 40 sq cm
40. 40.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 11 cm (c) 18 cm (d) 22 cm

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