Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 34 · 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 96 sq cm and a length of 16 cm. What is its width? (a) 80 cm (b) 6 cm (c) 12 cm (d) 7 cm
2. 2.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 28 sq cm (b) 54 sq cm (c) 45 sq cm (d) 14 sq cm
3. 3.A rectangle is 17 cm long and 7 cm wide. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 119 sq cm (d) 136 sq cm
4. 4.A rectangle has an area of 16 sq cm and a length of 8 cm. What is its width? (a) 8 cm (b) 3 cm (c) 2 cm (d) 4 cm
5. 5.A rectangle is 15 cm long and 10 cm wide. What is its perimeter? (a) 40 cm (b) 25 cm (c) 150 cm (d) 50 cm
6. 6.A rectangle has an area of 28 sq cm and a length of 14 cm. What is its width? (a) 4 cm (b) 3 cm (c) 14 cm (d) 2 cm
7. 7.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 48 sq cm (c) 24 sq cm (d) 144 sq cm
8. 8.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 24 cm (b) 209 cm (c) 13 cm (d) 12 cm
9. 9.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 40 sq cm (b) 13 sq cm (c) 26 sq cm (d) 48 sq cm
10. 10.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 44 sq cm (c) 144 sq cm (d) 22 sq cm
11. 11.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 36 cm (b) 45 cm (c) 33 cm (d) 18 cm
12. 12.A rectangle is 18 cm long and 2 cm wide. What is its perimeter? (a) 38 cm (b) 20 cm (c) 40 cm (d) 36 cm
13. 13.A rectangle is 13 cm long and 3 cm wide. What is its perimeter? (a) 32 cm (b) 16 cm (c) 39 cm (d) 29 cm
14. 14.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 18 cm (c) 11 cm (d) 20 cm
15. 15.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 120 sq cm (b) 42 sq cm (c) 21 sq cm (d) 108 sq cm
16. 16.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 36 sq cm (c) 25 sq cm (d) 10 sq cm
17. 17.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 49 sq cm (c) 24 sq cm (d) 36 sq cm
18. 18.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 42 sq cm (b) 38 sq cm (c) 21 sq cm (d) 57 sq cm
19. 19.A rectangle is 17 cm long and 7 cm wide. What is its perimeter? (a) 24 cm (b) 41 cm (c) 119 cm (d) 48 cm
20. 20.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 121 sq cm (c) 40 sq cm (d) 20 sq cm
21. 21.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 196 sq cm (c) 52 sq cm (d) 169 sq cm
22. 22.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 13 cm (b) 165 cm (c) 24 cm (d) 12 cm
23. 23.A rectangle is 18 cm long and 11 cm wide. What is its area? (a) 58 sq cm (b) 198 sq cm (c) 216 sq cm (d) 29 sq cm
24. 24.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 70 sq cm (b) 32 sq cm (c) 60 sq cm (d) 16 sq cm
25. 25.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 4 cm (b) 3 cm (c) 6 cm (d) 12 cm
26. 26.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) 9 cm (d) 120 cm
27. 27.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 90 sq cm (b) 80 sq cm (c) 18 sq cm (d) 36 sq cm
28. 28.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its width? (a) 7 cm (b) 12 cm (c) 40 cm (d) 6 cm
29. 29.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 256 sq cm (c) 225 sq cm (d) 60 sq cm
30. 30.A rectangle is 16 cm long and 5 cm wide. What is its perimeter? (a) 80 cm (b) 42 cm (c) 21 cm (d) 37 cm
31. 31.A rectangle is 19 cm long and 11 cm wide. What is its perimeter? (a) 209 cm (b) 49 cm (c) 30 cm (d) 60 cm
32. 32.A rectangle has an area of 32 sq cm and a length of 16 cm. What is its width? (a) 16 cm (b) 4 cm (c) 2 cm (d) 3 cm
33. 33.A rectangle has an area of 75 sq cm and a length of 15 cm. What is its width? (a) 6 cm (b) 60 cm (c) 10 cm (d) 5 cm
34. 34.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 14 sq cm (b) 21 sq cm (c) 9 sq cm (d) 18 sq cm
35. 35.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 18 cm (b) 9 cm (c) 10 cm (d) 104 cm
36. 36.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 16 cm (b) 60 cm (c) 32 cm (d) 26 cm
37. 37.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 20 sq cm (c) 16 sq cm (d) 10 sq cm
38. 38.A rectangle is 13 cm long and 4 cm wide. What is its area? (a) 17 sq cm (b) 34 sq cm (c) 65 sq cm (d) 52 sq cm
39. 39.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 18 cm (b) 22 cm (c) 28 cm (d) 11 cm
40. 40.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 24 sq cm (d) 30 sq cm

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