Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 213 · 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 rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 6 cm (b) 4 cm (c) 16 cm (d) 3 cm
2. 2.A rectangle is 20 cm long and 8 cm wide. What is its perimeter? (a) 56 cm (b) 28 cm (c) 48 cm (d) 160 cm
3. 3.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 144 sq cm (d) 121 sq cm
4. 4.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 49 sq cm (c) 64 sq cm (d) 14 sq cm
5. 5.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 169 sq cm (c) 48 sq cm (d) 24 sq cm
6. 6.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 28 sq cm (c) 196 sq cm (d) 56 sq cm
7. 7.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 12 cm (b) 11 cm (c) 190 cm (d) 22 cm
8. 8.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 13 sq cm (b) 22 sq cm (c) 26 sq cm (d) 33 sq cm
9. 9.A rectangle is 13 cm long and 11 cm wide. What is its area? (a) 48 sq cm (b) 143 sq cm (c) 156 sq cm (d) 24 sq cm
10. 10.A rectangle has an area of 40 sq cm and a length of 10 cm. What is its width? (a) 30 cm (b) 4 cm (c) 8 cm (d) 5 cm
11. 11.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 78 sq cm (b) 36 sq cm (c) 65 sq cm (d) 18 sq cm
12. 12.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 30 cm (b) 17 cm (c) 22 cm (d) 11 cm
13. 13.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its width? (a) 6 cm (b) 5 cm (c) 10 cm (d) 24 cm
14. 14.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 21 cm (b) 40 cm (c) 26 cm (d) 13 cm
15. 15.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 14 sq cm (b) 33 sq cm (c) 44 sq cm (d) 28 sq cm
16. 16.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 20 sq cm (c) 40 sq cm (d) 100 sq cm
17. 17.A rectangle has an area of 60 sq cm and a length of 15 cm. What is its width? (a) 45 cm (b) 4 cm (c) 5 cm (d) 8 cm
18. 18.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 36 sq cm (d) 27 sq cm
19. 19.A rectangle is 19 cm long and 12 cm wide. What is its perimeter? (a) 62 cm (b) 228 cm (c) 31 cm (d) 50 cm
20. 20.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 81 sq cm (b) 34 sq cm (c) 72 sq cm (d) 17 sq cm
21. 21.A rectangle is 10 cm long and 7 cm wide. What is its perimeter? (a) 17 cm (b) 27 cm (c) 34 cm (d) 70 cm
22. 22.A rectangle is 16 cm long and 3 cm wide. What is its area? (a) 48 sq cm (b) 64 sq cm (c) 38 sq cm (d) 19 sq cm
23. 23.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 64 sq cm (d) 81 sq cm
24. 24.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
25. 25.A rectangle is 16 cm long and 2 cm wide. What is its perimeter? (a) 36 cm (b) 34 cm (c) 32 cm (d) 18 cm
26. 26.A rectangle has an area of 60 sq cm and a length of 20 cm. What is its width? (a) 6 cm (b) 4 cm (c) 3 cm (d) 40 cm
27. 27.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 54 sq cm (b) 27 sq cm (c) 170 sq cm (d) 187 sq cm
28. 28.A rectangle is 19 cm long and 9 cm wide. What is its area? (a) 190 sq cm (b) 56 sq cm (c) 171 sq cm (d) 28 sq cm
29. 29.A rectangle has an area of 108 sq cm and a length of 18 cm. What is its width? (a) 7 cm (b) 90 cm (c) 6 cm (d) 12 cm
30. 30.A rectangle is 17 cm long and 5 cm wide. What is its perimeter? (a) 85 cm (b) 22 cm (c) 39 cm (d) 44 cm
31. 31.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 49 sq cm (c) 12 sq cm (d) 24 sq cm
32. 32.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 121 sq cm (b) 42 sq cm (c) 21 sq cm (d) 110 sq cm
33. 33.A rectangle is 10 cm long and 9 cm wide. What is its perimeter? (a) 90 cm (b) 38 cm (c) 29 cm (d) 19 cm
34. 34.A rectangle is 15 cm long and 8 cm wide. What is its perimeter? (a) 38 cm (b) 46 cm (c) 120 cm (d) 23 cm
35. 35.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 90 sq cm (b) 23 sq cm (c) 46 sq cm (d) 108 sq cm
36. 36.A rectangle is 15 cm long and 10 cm wide. What is its area? (a) 165 sq cm (b) 150 sq cm (c) 25 sq cm (d) 50 sq cm
37. 37.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 24 cm (b) 13 cm (c) 12 cm (d) 187 cm
38. 38.A rectangle is 16 cm long and 12 cm wide. What is its perimeter? (a) 56 cm (b) 28 cm (c) 44 cm (d) 192 cm
39. 39.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 60 sq cm (c) 30 sq cm (d) 225 sq cm
40. 40.A rectangle has an area of 100 sq cm and a length of 20 cm. What is its width? (a) 80 cm (b) 5 cm (c) 10 cm (d) 6 cm

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