Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 164 · 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 18 cm. What is its width? (a) 20 cm (b) 162 cm (c) 11 cm (d) 10 cm
2. 2.A rectangle has an area of 56 sq cm and a length of 14 cm. What is its width? (a) 4 cm (b) 8 cm (c) 42 cm (d) 5 cm
3. 3.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 64 sq cm (c) 32 sq cm (d) 16 sq cm
4. 4.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 22 cm (b) 200 cm (c) 12 cm (d) 11 cm
5. 5.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 26 sq cm (c) 52 sq cm (d) 169 sq cm
6. 6.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 144 sq cm (c) 44 sq cm (d) 121 sq cm
7. 7.A rectangle is 17 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 85 sq cm (c) 44 sq cm (d) 102 sq cm
8. 8.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 30 cm (b) 15 cm (c) 50 cm (d) 25 cm
9. 9.A rectangle is 17 cm long and 5 cm wide. What is its perimeter? (a) 22 cm (b) 85 cm (c) 39 cm (d) 44 cm
10. 10.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 13 sq cm (b) 26 sq cm (c) 42 sq cm (d) 49 sq cm
11. 11.A rectangle has an area of 6 sq cm and a length of 3 cm. What is its width? (a) 1 cm (b) 3 cm (c) 4 cm (d) 2 cm
12. 12.A rectangle is 12 cm long and 5 cm wide. What is its perimeter? (a) 29 cm (b) 60 cm (c) 34 cm (d) 17 cm
13. 13.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 12 cm (b) 22 cm (c) 11 cm (d) 160 cm
14. 14.A rectangle has an area of 140 sq cm and a length of 20 cm. What is its width? (a) 120 cm (b) 7 cm (c) 8 cm (d) 14 cm
15. 15.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 35 sq cm (b) 42 sq cm (c) 12 sq cm (d) 24 sq cm
16. 16.A rectangle is 14 cm long and 2 cm wide. What is its area? (a) 32 sq cm (b) 42 sq cm (c) 28 sq cm (d) 16 sq cm
17. 17.A rectangle has an area of 190 sq cm and a length of 19 cm. What is its width? (a) 20 cm (b) 11 cm (c) 171 cm (d) 10 cm
18. 18.A rectangle has an area of 98 sq cm and a length of 14 cm. What is its width? (a) 14 cm (b) 8 cm (c) 84 cm (d) 7 cm
19. 19.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 14 sq cm (b) 24 sq cm (c) 28 sq cm (d) 36 sq cm
20. 20.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 24 sq cm (c) 12 sq cm (d) 36 sq cm
21. 21.A rectangle is 11 cm long and 8 cm wide. What is its perimeter? (a) 30 cm (b) 38 cm (c) 88 cm (d) 19 cm
22. 22.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its width? (a) 6 cm (b) 3 cm (c) 10 cm (d) 4 cm
23. 23.A rectangle is 19 cm long and 12 cm wide. What is its perimeter? (a) 50 cm (b) 228 cm (c) 31 cm (d) 62 cm
24. 24.A rectangle is 18 cm long and 3 cm wide. What is its area? (a) 72 sq cm (b) 42 sq cm (c) 21 sq cm (d) 54 sq cm
25. 25.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 56 sq cm (b) 48 sq cm (c) 28 sq cm (d) 14 sq cm
26. 26.A rectangle is 17 cm long and 7 cm wide. What is its perimeter? (a) 24 cm (b) 119 cm (c) 48 cm (d) 41 cm
27. 27.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 22 cm (b) 14 cm (c) 48 cm (d) 28 cm
28. 28.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 18 cm (c) 9 cm (d) 14 cm
29. 29.A rectangle has an area of 40 sq cm and a length of 20 cm. What is its width? (a) 20 cm (b) 3 cm (c) 4 cm (d) 2 cm
30. 30.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 20 cm (b) 21 cm (c) 17 cm (d) 10 cm
31. 31.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 144 sq cm (c) 48 sq cm (d) 24 sq cm
32. 32.A rectangle is 13 cm long and 10 cm wide. What is its perimeter? (a) 36 cm (b) 23 cm (c) 130 cm (d) 46 cm
33. 33.A rectangle has an area of 24 sq cm and a length of 12 cm. What is its width? (a) 2 cm (b) 12 cm (c) 4 cm (d) 3 cm
34. 34.A rectangle is 15 cm long and 8 cm wide. What is its area? (a) 135 sq cm (b) 120 sq cm (c) 46 sq cm (d) 23 sq cm
35. 35.A rectangle has an area of 105 sq cm and a length of 15 cm. What is its width? (a) 90 cm (b) 8 cm (c) 7 cm (d) 14 cm
36. 36.A rectangle is 18 cm long and 4 cm wide. What is its perimeter? (a) 22 cm (b) 44 cm (c) 72 cm (d) 40 cm
37. 37.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 34 sq cm (b) 81 sq cm (c) 17 sq cm (d) 72 sq cm
38. 38.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 117 sq cm (d) 104 sq cm
39. 39.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 30 sq cm (b) 15 sq cm (c) 64 sq cm (d) 56 sq cm
40. 40.A rectangle is 18 cm long and 12 cm wide. What is its area? (a) 234 sq cm (b) 60 sq cm (c) 30 sq cm (d) 216 sq cm

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