Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 17 · 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 168 sq cm and a length of 14 cm. What is its width? (a) 13 cm (b) 24 cm (c) 154 cm (d) 12 cm
2. 2.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 12 sq cm (c) 16 sq cm (d) 8 sq cm
3. 3.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 32 sq cm (c) 64 sq cm (d) 16 sq cm
4. 4.A rectangle is 17 cm long and 11 cm wide. What is its area? (a) 28 sq cm (b) 187 sq cm (c) 204 sq cm (d) 56 sq cm
5. 5.A rectangle is 12 cm long and 8 cm wide. What is its area? (a) 20 sq cm (b) 96 sq cm (c) 40 sq cm (d) 108 sq cm
6. 6.A rectangle is 15 cm long and 5 cm wide. What is its area? (a) 90 sq cm (b) 75 sq cm (c) 20 sq cm (d) 40 sq cm
7. 7.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 52 sq cm (c) 196 sq cm (d) 26 sq cm
8. 8.A rectangle is 13 cm long and 9 cm wide. What is its perimeter? (a) 22 cm (b) 35 cm (c) 117 cm (d) 44 cm
9. 9.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 100 sq cm (c) 20 sq cm (d) 40 sq cm
10. 10.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 220 cm (b) 24 cm (c) 12 cm (d) 13 cm
11. 11.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 100 sq cm (c) 18 sq cm (d) 81 sq cm
12. 12.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 25 sq cm (c) 20 sq cm (d) 36 sq cm
13. 13.A rectangle is 20 cm long and 12 cm wide. What is its area? (a) 240 sq cm (b) 64 sq cm (c) 260 sq cm (d) 32 sq cm
14. 14.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 9 sq cm (b) 21 sq cm (c) 18 sq cm (d) 14 sq cm
15. 15.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 104 cm (b) 18 cm (c) 10 cm (d) 9 cm
16. 16.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 54 sq cm (b) 28 sq cm (c) 45 sq cm (d) 14 sq cm
17. 17.A rectangle is 14 cm long and 7 cm wide. What is its area? (a) 98 sq cm (b) 21 sq cm (c) 112 sq cm (d) 42 sq cm
18. 18.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) 4 cm (d) 3 cm
19. 19.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 28 cm (b) 80 cm (c) 36 cm (d) 18 cm
20. 20.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 48 cm (b) 14 cm (c) 22 cm (d) 28 cm
21. 21.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its width? (a) 35 cm (b) 12 cm (c) 7 cm (d) 6 cm
22. 22.A rectangle is 19 cm long and 4 cm wide. What is its perimeter? (a) 76 cm (b) 23 cm (c) 42 cm (d) 46 cm
23. 23.A rectangle is 16 cm long and 12 cm wide. What is its area? (a) 208 sq cm (b) 28 sq cm (c) 56 sq cm (d) 192 sq cm
24. 24.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 85 sq cm (b) 21 sq cm (c) 68 sq cm (d) 42 sq cm
25. 25.A rectangle is 16 cm long and 12 cm wide. What is its perimeter? (a) 28 cm (b) 56 cm (c) 44 cm (d) 192 cm
26. 26.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 30 sq cm (b) 64 sq cm (c) 15 sq cm (d) 56 sq cm
27. 27.A rectangle is 18 cm long and 9 cm wide. What is its perimeter? (a) 27 cm (b) 162 cm (c) 54 cm (d) 45 cm
28. 28.A rectangle has an area of 40 sq cm and a length of 20 cm. What is its width? (a) 20 cm (b) 4 cm (c) 2 cm (d) 3 cm
29. 29.A rectangle has an area of 128 sq cm and a length of 16 cm. What is its width? (a) 112 cm (b) 8 cm (c) 16 cm (d) 9 cm
30. 30.A rectangle is 18 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 54 cm (c) 39 cm (d) 42 cm
31. 31.A rectangle has an area of 30 sq cm and a length of 15 cm. What is its width? (a) 2 cm (b) 15 cm (c) 4 cm (d) 3 cm
32. 32.A rectangle is 20 cm long and 2 cm wide. What is its perimeter? (a) 44 cm (b) 42 cm (c) 22 cm (d) 40 cm
33. 33.A rectangle is 15 cm long and 7 cm wide. What is its perimeter? (a) 105 cm (b) 37 cm (c) 22 cm (d) 44 cm
34. 34.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
35. 35.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 12 cm (c) 8 cm (d) 14 cm
36. 36.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 20 sq cm (c) 10 sq cm (d) 24 sq cm
37. 37.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 196 sq cm (c) 56 sq cm (d) 28 sq cm
38. 38.A rectangle is 15 cm long and 4 cm wide. What is its area? (a) 75 sq cm (b) 60 sq cm (c) 19 sq cm (d) 38 sq cm
39. 39.A rectangle has an area of 100 sq cm and a length of 20 cm. What is its width? (a) 6 cm (b) 10 cm (c) 5 cm (d) 80 cm
40. 40.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 12 cm (b) 209 cm (c) 13 cm (d) 24 cm

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