Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 12 · 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 is 16 cm long and 3 cm wide. What is its perimeter? (a) 35 cm (b) 38 cm (c) 19 cm (d) 48 cm
2. 2.A rectangle has an area of 54 sq cm and a length of 18 cm. What is its width? (a) 36 cm (b) 6 cm (c) 3 cm (d) 4 cm
3. 3.A rectangle is 12 cm long and 11 cm wide. What is its area? (a) 144 sq cm (b) 23 sq cm (c) 46 sq cm (d) 132 sq cm
4. 4.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its width? (a) 24 cm (b) 4 cm (c) 3 cm (d) 6 cm
5. 5.A rectangle is 18 cm long and 3 cm wide. What is its perimeter? (a) 42 cm (b) 39 cm (c) 21 cm (d) 54 cm
6. 6.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 96 cm (b) 9 cm (c) 18 cm (d) 10 cm
7. 7.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 12 sq cm (c) 24 sq cm (d) 49 sq cm
8. 8.A rectangle is 12 cm long and 8 cm wide. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 108 sq cm (d) 96 sq cm
9. 9.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 64 sq cm (c) 16 sq cm (d) 32 sq cm
10. 10.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 20 cm (b) 11 cm (c) 10 cm (d) 117 cm
11. 11.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 225 sq cm (c) 56 sq cm (d) 28 sq cm
12. 12.A rectangle is 13 cm long and 9 cm wide. What is its area? (a) 117 sq cm (b) 44 sq cm (c) 130 sq cm (d) 22 sq cm
13. 13.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 187 sq cm (b) 170 sq cm (c) 54 sq cm (d) 27 sq cm
14. 14.A rectangle is 16 cm long and 6 cm wide. What is its perimeter? (a) 96 cm (b) 44 cm (c) 38 cm (d) 22 cm
15. 15.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 15 cm (b) 56 cm (c) 23 cm (d) 30 cm
16. 16.A rectangle has an area of 90 sq cm and a length of 18 cm. What is its width? (a) 5 cm (b) 6 cm (c) 10 cm (d) 72 cm
17. 17.A rectangle is 16 cm long and 2 cm wide. What is its perimeter? (a) 32 cm (b) 18 cm (c) 34 cm (d) 36 cm
18. 18.A rectangle is 20 cm long and 12 cm wide. What is its perimeter? (a) 240 cm (b) 64 cm (c) 52 cm (d) 32 cm
19. 19.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 20 cm (c) 22 cm (d) 24 cm
20. 20.A rectangle has an area of 26 sq cm and a length of 13 cm. What is its width? (a) 2 cm (b) 4 cm (c) 13 cm (d) 3 cm
21. 21.A rectangle is 19 cm long and 4 cm wide. What is its perimeter? (a) 42 cm (b) 76 cm (c) 46 cm (d) 23 cm
22. 22.A rectangle has an area of 63 sq cm and a length of 9 cm. What is its width? (a) 8 cm (b) 54 cm (c) 14 cm (d) 7 cm
23. 23.A rectangle has an area of 54 sq cm and a length of 9 cm. What is its width? (a) 12 cm (b) 45 cm (c) 7 cm (d) 6 cm
24. 24.A rectangle has an area of 8 sq cm and a length of 4 cm. What is its width? (a) 2 cm (b) 4 cm (c) 1 cm (d) 3 cm
25. 25.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 35 sq cm (c) 12 sq cm (d) 42 sq cm
26. 26.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 10 sq cm (c) 20 sq cm (d) 30 sq cm
27. 27.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 48 sq cm (b) 28 sq cm (c) 14 sq cm (d) 56 sq cm
28. 28.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 25 sq cm (c) 36 sq cm (d) 10 sq cm
29. 29.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 12 cm (c) 20 cm (d) 32 cm
30. 30.A rectangle is 13 cm long and 4 cm wide. What is its perimeter? (a) 52 cm (b) 34 cm (c) 30 cm (d) 17 cm
31. 31.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 28 sq cm (c) 49 sq cm (d) 14 sq cm
32. 32.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 16 cm (c) 10 cm (d) 24 cm
33. 33.A rectangle has an area of 171 sq cm and a length of 19 cm. What is its width? (a) 152 cm (b) 9 cm (c) 18 cm (d) 10 cm
34. 34.A rectangle is 12 cm long and 7 cm wide. What is its perimeter? (a) 38 cm (b) 84 cm (c) 31 cm (d) 19 cm
35. 35.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 169 sq cm (c) 48 sq cm (d) 144 sq cm
36. 36.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 18 sq cm (b) 19 sq cm (c) 24 sq cm (d) 9 sq cm
37. 37.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 15 cm (b) 4 cm (c) 8 cm (d) 5 cm
38. 38.A rectangle has an area of 80 sq cm and a length of 16 cm. What is its width? (a) 10 cm (b) 6 cm (c) 5 cm (d) 64 cm
39. 39.A rectangle is 16 cm long and 6 cm wide. What is its area? (a) 112 sq cm (b) 22 sq cm (c) 44 sq cm (d) 96 sq cm
40. 40.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 196 sq cm (c) 26 sq cm (d) 52 sq cm

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