Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 221 · 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 180 sq cm and a length of 20 cm. What is its width? (a) 160 cm (b) 9 cm (c) 10 cm (d) 18 cm
2. 2.A rectangle is 19 cm long and 8 cm wide. What is its perimeter? (a) 46 cm (b) 54 cm (c) 152 cm (d) 27 cm
3. 3.A rectangle has an area of 33 sq cm and a length of 11 cm. What is its width? (a) 4 cm (b) 3 cm (c) 6 cm (d) 22 cm
4. 4.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 225 sq cm (d) 256 sq cm
5. 5.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 36 sq cm (d) 25 sq cm
6. 6.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 32 cm (c) 16 cm (d) 48 cm
7. 7.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
8. 8.A rectangle is 14 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 32 cm (c) 28 cm (d) 30 cm
9. 9.A rectangle is 15 cm long and 2 cm wide. What is its perimeter? (a) 32 cm (b) 34 cm (c) 17 cm (d) 30 cm
10. 10.A rectangle is 15 cm long and 10 cm wide. What is its area? (a) 25 sq cm (b) 150 sq cm (c) 50 sq cm (d) 165 sq cm
11. 11.A rectangle has an area of 57 sq cm and a length of 19 cm. What is its width? (a) 38 cm (b) 6 cm (c) 4 cm (d) 3 cm
12. 12.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 7 cm (b) 8 cm (c) 14 cm (d) 60 cm
13. 13.A rectangle has an area of 126 sq cm and a length of 14 cm. What is its width? (a) 18 cm (b) 112 cm (c) 10 cm (d) 9 cm
14. 14.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 45 sq cm (b) 36 sq cm (c) 13 sq cm (d) 26 sq cm
15. 15.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 12 cm (b) 13 cm (c) 209 cm (d) 24 cm
16. 16.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 100 sq cm (c) 40 sq cm (d) 20 sq cm
17. 17.A rectangle is 17 cm long and 8 cm wide. What is its area? (a) 50 sq cm (b) 153 sq cm (c) 25 sq cm (d) 136 sq cm
18. 18.A rectangle has an area of 80 sq cm and a length of 20 cm. What is its width? (a) 5 cm (b) 60 cm (c) 8 cm (d) 4 cm
19. 19.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 30 sq cm (b) 56 sq cm (c) 15 sq cm (d) 64 sq cm
20. 20.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 24 sq cm (c) 30 sq cm (d) 10 sq cm
21. 21.A rectangle has an area of 26 sq cm and a length of 13 cm. What is its width? (a) 3 cm (b) 2 cm (c) 13 cm (d) 4 cm
22. 22.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 34 sq cm (b) 17 sq cm (c) 72 sq cm (d) 81 sq cm
23. 23.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 16 sq cm (c) 32 sq cm (d) 64 sq cm
24. 24.A rectangle is 14 cm long and 4 cm wide. What is its area? (a) 70 sq cm (b) 18 sq cm (c) 36 sq cm (d) 56 sq cm
25. 25.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
26. 26.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 11 cm (b) 20 cm (c) 10 cm (d) 126 cm
27. 27.A rectangle is 18 cm long and 12 cm wide. What is its perimeter? (a) 60 cm (b) 48 cm (c) 216 cm (d) 30 cm
28. 28.A rectangle is 18 cm long and 8 cm wide. What is its perimeter? (a) 52 cm (b) 144 cm (c) 26 cm (d) 44 cm
29. 29.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 13 cm (b) 24 cm (c) 176 cm (d) 12 cm
30. 30.A rectangle has an area of 135 sq cm and a length of 15 cm. What is its width? (a) 120 cm (b) 18 cm (c) 9 cm (d) 10 cm
31. 31.A rectangle has an area of 45 sq cm and a length of 9 cm. What is its width? (a) 6 cm (b) 36 cm (c) 5 cm (d) 10 cm
32. 32.A rectangle has an area of 30 sq cm and a length of 15 cm. What is its width? (a) 4 cm (b) 15 cm (c) 3 cm (d) 2 cm
33. 33.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 12 sq cm (b) 35 sq cm (c) 42 sq cm (d) 24 sq cm
34. 34.A rectangle has an area of 90 sq cm and a length of 18 cm. What is its width? (a) 5 cm (b) 10 cm (c) 6 cm (d) 72 cm
35. 35.A rectangle has an area of 16 sq cm and a length of 8 cm. What is its width? (a) 8 cm (b) 4 cm (c) 3 cm (d) 2 cm
36. 36.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 6 cm (c) 7 cm (d) 70 cm
37. 37.A rectangle is 16 cm long and 11 cm wide. What is its perimeter? (a) 43 cm (b) 176 cm (c) 27 cm (d) 54 cm
38. 38.A rectangle is 20 cm long and 10 cm wide. What is its perimeter? (a) 200 cm (b) 30 cm (c) 50 cm (d) 60 cm
39. 39.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 169 sq cm (c) 26 sq cm (d) 196 sq cm
40. 40.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 77 cm (b) 9 cm (c) 8 cm (d) 16 cm

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