Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 22 · 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 154 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 22 cm (c) 140 cm (d) 11 cm
2. 2.A rectangle is 16 cm long and 11 cm wide. What is its area? (a) 27 sq cm (b) 176 sq cm (c) 192 sq cm (d) 54 sq cm
3. 3.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 100 sq cm (d) 121 sq cm
4. 4.A rectangle is 14 cm long and 7 cm wide. What is its area? (a) 112 sq cm (b) 21 sq cm (c) 98 sq cm (d) 42 sq cm
5. 5.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 36 sq cm (c) 20 sq cm (d) 25 sq cm
6. 6.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 51 sq cm (c) 40 sq cm (d) 68 sq cm
7. 7.A rectangle has an area of 112 sq cm and a length of 16 cm. What is its width? (a) 7 cm (b) 8 cm (c) 14 cm (d) 96 cm
8. 8.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 32 sq cm (d) 40 sq cm
9. 9.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 225 sq cm (c) 60 sq cm (d) 256 sq cm
10. 10.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 121 sq cm (b) 21 sq cm (c) 42 sq cm (d) 110 sq cm
11. 11.A rectangle is 15 cm long and 2 cm wide. What is its area? (a) 34 sq cm (b) 17 sq cm (c) 45 sq cm (d) 30 sq cm
12. 12.A rectangle is 17 cm long and 7 cm wide. What is its area? (a) 48 sq cm (b) 119 sq cm (c) 136 sq cm (d) 24 sq cm
13. 13.A rectangle is 17 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 85 sq cm (d) 102 sq cm
14. 14.A rectangle is 17 cm long and 12 cm wide. What is its area? (a) 29 sq cm (b) 204 sq cm (c) 58 sq cm (d) 221 sq cm
15. 15.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 64 sq cm (d) 81 sq cm
16. 16.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 26 sq cm (b) 45 sq cm (c) 36 sq cm (d) 13 sq cm
17. 17.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 12 sq cm (d) 27 sq cm
18. 18.A rectangle has an area of 171 sq cm and a length of 19 cm. What is its width? (a) 18 cm (b) 152 cm (c) 10 cm (d) 9 cm
19. 19.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 225 sq cm (d) 196 sq cm
20. 20.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its width? (a) 4 cm (b) 10 cm (c) 3 cm (d) 6 cm
21. 21.A rectangle is 13 cm long and 2 cm wide. What is its perimeter? (a) 30 cm (b) 15 cm (c) 26 cm (d) 28 cm
22. 22.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 18 cm (b) 11 cm (c) 28 cm (d) 22 cm
23. 23.A rectangle is 15 cm long and 9 cm wide. What is its area? (a) 48 sq cm (b) 150 sq cm (c) 24 sq cm (d) 135 sq cm
24. 24.A rectangle is 16 cm long and 5 cm wide. What is its perimeter? (a) 80 cm (b) 37 cm (c) 42 cm (d) 21 cm
25. 25.A rectangle has an area of 30 sq cm and a length of 15 cm. What is its width? (a) 4 cm (b) 3 cm (c) 2 cm (d) 15 cm
26. 26.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 16 cm (b) 8 cm (c) 77 cm (d) 9 cm
27. 27.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 20 cm (c) 18 cm (d) 11 cm
28. 28.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 60 sq cm (b) 70 sq cm (c) 16 sq cm (d) 32 sq cm
29. 29.A rectangle has an area of 78 sq cm and a length of 13 cm. What is its width? (a) 7 cm (b) 12 cm (c) 65 cm (d) 6 cm
30. 30.A rectangle has an area of 162 sq cm and a length of 18 cm. What is its width? (a) 9 cm (b) 18 cm (c) 10 cm (d) 144 cm
31. 31.A rectangle is 19 cm long and 11 cm wide. What is its area? (a) 60 sq cm (b) 209 sq cm (c) 228 sq cm (d) 30 sq cm
32. 32.A rectangle is 16 cm long and 3 cm wide. What is its area? (a) 38 sq cm (b) 64 sq cm (c) 19 sq cm (d) 48 sq cm
33. 33.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 7 cm (b) 100 cm (c) 12 cm (d) 6 cm
34. 34.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 100 sq cm (d) 81 sq cm
35. 35.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
36. 36.A rectangle is 19 cm long and 12 cm wide. What is its area? (a) 62 sq cm (b) 247 sq cm (c) 31 sq cm (d) 228 sq cm
37. 37.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 22 cm (b) 190 cm (c) 12 cm (d) 11 cm
38. 38.A rectangle is 17 cm long and 6 cm wide. What is its perimeter? (a) 46 cm (b) 23 cm (c) 102 cm (d) 40 cm
39. 39.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 36 sq cm (c) 24 sq cm (d) 49 sq cm
40. 40.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 22 sq cm (c) 44 sq cm (d) 121 sq cm

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