Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 48 · 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 36 cm. What is its area? (a) 18 sq cm (b) 100 sq cm (c) 81 sq cm (d) 36 sq cm
2. 2.A rectangle is 16 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 64 cm (c) 36 cm (d) 40 cm
3. 3.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
4. 4.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 12 cm (b) 187 cm (c) 24 cm (d) 13 cm
5. 5.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 108 sq cm (b) 21 sq cm (c) 42 sq cm (d) 120 sq cm
6. 6.A rectangle is 12 cm long and 5 cm wide. What is its perimeter? (a) 17 cm (b) 29 cm (c) 34 cm (d) 60 cm
7. 7.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 143 cm (b) 13 cm (c) 24 cm (d) 12 cm
8. 8.A rectangle is 18 cm long and 5 cm wide. What is its perimeter? (a) 46 cm (b) 90 cm (c) 23 cm (d) 41 cm
9. 9.A rectangle is 18 cm long and 8 cm wide. What is its area? (a) 162 sq cm (b) 52 sq cm (c) 144 sq cm (d) 26 sq cm
10. 10.A rectangle is 11 cm long and 10 cm wide. What is its perimeter? (a) 21 cm (b) 110 cm (c) 42 cm (d) 32 cm
11. 11.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 22 sq cm (c) 44 sq cm (d) 121 sq cm
12. 12.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 20 sq cm (b) 99 sq cm (c) 110 sq cm (d) 40 sq cm
13. 13.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 7 cm (b) 48 cm (c) 8 cm (d) 14 cm
14. 14.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 60 sq cm (b) 45 sq cm (c) 36 sq cm (d) 18 sq cm
15. 15.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 13 cm (b) 20 cm (c) 42 cm (d) 26 cm
16. 16.A rectangle has an area of 50 sq cm and a length of 10 cm. What is its width? (a) 40 cm (b) 6 cm (c) 5 cm (d) 10 cm
17. 17.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 30 sq cm (c) 24 sq cm (d) 10 sq cm
18. 18.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 190 cm (b) 11 cm (c) 12 cm (d) 22 cm
19. 19.A rectangle is 15 cm long and 2 cm wide. What is its perimeter? (a) 34 cm (b) 30 cm (c) 17 cm (d) 32 cm
20. 20.A rectangle is 15 cm long and 4 cm wide. What is its area? (a) 19 sq cm (b) 60 sq cm (c) 38 sq cm (d) 75 sq cm
21. 21.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 160 cm (b) 11 cm (c) 22 cm (d) 12 cm
22. 22.A rectangle has an area of 32 sq cm and a length of 16 cm. What is its width? (a) 2 cm (b) 16 cm (c) 3 cm (d) 4 cm
23. 23.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 12 cm (c) 22 cm (d) 24 cm
24. 24.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 50 sq cm (d) 40 sq cm
25. 25.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 108 cm (b) 20 cm (c) 10 cm (d) 11 cm
26. 26.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 10 sq cm (c) 25 sq cm (d) 20 sq cm
27. 27.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 63 cm (b) 32 cm (c) 25 cm (d) 16 cm
28. 28.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 48 cm (b) 16 cm (c) 32 cm (d) 28 cm
29. 29.A rectangle is 16 cm long and 10 cm wide. What is its area? (a) 176 sq cm (b) 26 sq cm (c) 160 sq cm (d) 52 sq cm
30. 30.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 49 sq cm (c) 14 sq cm (d) 28 sq cm
31. 31.A rectangle is 18 cm long and 10 cm wide. What is its perimeter? (a) 28 cm (b) 180 cm (c) 56 cm (d) 46 cm
32. 32.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 169 sq cm (d) 196 sq cm
33. 33.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 209 cm (b) 13 cm (c) 12 cm (d) 24 cm
34. 34.A rectangle is 11 cm long and 6 cm wide. What is its perimeter? (a) 34 cm (b) 28 cm (c) 66 cm (d) 17 cm
35. 35.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 12 cm (b) 176 cm (c) 13 cm (d) 24 cm
36. 36.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 28 sq cm (c) 10 sq cm (d) 21 sq cm
37. 37.A rectangle is 17 cm long and 5 cm wide. What is its area? (a) 44 sq cm (b) 102 sq cm (c) 22 sq cm (d) 85 sq cm
38. 38.A rectangle is 18 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 54 cm (c) 39 cm (d) 42 cm
39. 39.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 5 cm (b) 8 cm (c) 4 cm (d) 21 cm
40. 40.A rectangle is 14 cm long and 4 cm wide. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 70 sq cm (d) 56 sq cm

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