Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 454 · 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 32 cm. What is its area? (a) 64 sq cm (b) 16 sq cm (c) 32 sq cm (d) 81 sq cm
2. 2.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 27 cm (b) 12 cm (c) 24 cm (d) 21 cm
3. 3.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 36 sq cm (d) 25 sq cm
4. 4.A rectangle is 13 cm long and 2 cm wide. What is its perimeter? (a) 28 cm (b) 30 cm (c) 26 cm (d) 15 cm
5. 5.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
6. 6.A rectangle has an area of 56 sq cm and a length of 14 cm. What is its width? (a) 4 cm (b) 42 cm (c) 8 cm (d) 5 cm
7. 7.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 98 cm (b) 9 cm (c) 8 cm (d) 16 cm
8. 8.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 169 sq cm (d) 196 sq cm
9. 9.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 32 sq cm (b) 11 sq cm (c) 22 sq cm (d) 24 sq cm
10. 10.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 24 sq cm (c) 12 sq cm (d) 30 sq cm
11. 11.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 100 cm (b) 7 cm (c) 6 cm (d) 12 cm
12. 12.A rectangle is 17 cm long and 6 cm wide. What is its area? (a) 119 sq cm (b) 102 sq cm (c) 46 sq cm (d) 23 sq cm
13. 13.A rectangle has an area of 190 sq cm and a length of 19 cm. What is its width? (a) 171 cm (b) 11 cm (c) 20 cm (d) 10 cm
14. 14.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 154 cm (b) 13 cm (c) 12 cm (d) 24 cm
15. 15.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 24 cm (b) 198 cm (c) 13 cm (d) 12 cm
16. 16.A rectangle is 13 cm long and 7 cm wide. What is its perimeter? (a) 33 cm (b) 20 cm (c) 40 cm (d) 91 cm
17. 17.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 121 sq cm (d) 144 sq cm
18. 18.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 10 cm (b) 99 cm (c) 20 cm (d) 11 cm
19. 19.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 27 sq cm (c) 12 sq cm (d) 24 sq cm
20. 20.A rectangle has an area of 10 sq cm and a length of 5 cm. What is its width? (a) 4 cm (b) 5 cm (c) 2 cm (d) 3 cm
21. 21.A rectangle has an area of 24 sq cm and a length of 12 cm. What is its width? (a) 2 cm (b) 12 cm (c) 4 cm (d) 3 cm
22. 22.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 169 sq cm (c) 24 sq cm (d) 144 sq cm
23. 23.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 40 cm (b) 14 cm (c) 28 cm (d) 24 cm
24. 24.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
25. 25.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 64 sq cm (c) 28 sq cm (d) 14 sq cm
26. 26.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 15 sq cm (b) 64 sq cm (c) 30 sq cm (d) 56 sq cm
27. 27.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 80 sq cm (c) 20 sq cm (d) 64 sq cm
28. 28.A rectangle is 19 cm long and 2 cm wide. What is its perimeter? (a) 42 cm (b) 38 cm (c) 21 cm (d) 40 cm
29. 29.A rectangle has an area of 60 sq cm and a length of 20 cm. What is its width? (a) 4 cm (b) 3 cm (c) 6 cm (d) 40 cm
30. 30.A rectangle is 10 cm long and 7 cm wide. What is its perimeter? (a) 27 cm (b) 34 cm (c) 17 cm (d) 70 cm
31. 31.A rectangle is 19 cm long and 10 cm wide. What is its area? (a) 58 sq cm (b) 190 sq cm (c) 209 sq cm (d) 29 sq cm
32. 32.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 72 sq cm (d) 90 sq cm
33. 33.A rectangle has an area of 76 sq cm and a length of 19 cm. What is its width? (a) 5 cm (b) 8 cm (c) 4 cm (d) 57 cm
34. 34.A rectangle is 15 cm long and 10 cm wide. What is its area? (a) 150 sq cm (b) 25 sq cm (c) 165 sq cm (d) 50 sq cm
35. 35.A rectangle is 15 cm long and 10 cm wide. What is its perimeter? (a) 25 cm (b) 40 cm (c) 50 cm (d) 150 cm
36. 36.A rectangle has an area of 60 sq cm and a length of 15 cm. What is its width? (a) 5 cm (b) 4 cm (c) 8 cm (d) 45 cm
37. 37.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 11 cm (b) 160 cm (c) 22 cm (d) 12 cm
38. 38.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 30 sq cm (b) 63 sq cm (c) 15 sq cm (d) 54 sq cm
39. 39.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 196 sq cm (d) 225 sq cm
40. 40.A rectangle is 17 cm long and 7 cm wide. What is its perimeter? (a) 48 cm (b) 41 cm (c) 24 cm (d) 119 cm

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