Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 499 · 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 204 sq cm and a length of 17 cm. What is its width? (a) 12 cm (b) 24 cm (c) 187 cm (d) 13 cm
2. 2.A rectangle is 19 cm long and 8 cm wide. What is its area? (a) 27 sq cm (b) 54 sq cm (c) 171 sq cm (d) 152 sq cm
3. 3.A rectangle has an area of 80 sq cm and a length of 20 cm. What is its width? (a) 60 cm (b) 5 cm (c) 8 cm (d) 4 cm
4. 4.A rectangle is 18 cm long and 4 cm wide. What is its perimeter? (a) 72 cm (b) 44 cm (c) 40 cm (d) 22 cm
5. 5.A rectangle is 18 cm long and 12 cm wide. What is its area? (a) 30 sq cm (b) 234 sq cm (c) 216 sq cm (d) 60 sq cm
6. 6.A rectangle has an area of 76 sq cm and a length of 19 cm. What is its width? (a) 8 cm (b) 5 cm (c) 57 cm (d) 4 cm
7. 7.A rectangle is 19 cm long and 11 cm wide. What is its perimeter? (a) 30 cm (b) 209 cm (c) 60 cm (d) 49 cm
8. 8.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 26 cm (b) 42 cm (c) 13 cm (d) 20 cm
9. 9.A rectangle is 16 cm long and 7 cm wide. What is its perimeter? (a) 112 cm (b) 46 cm (c) 39 cm (d) 23 cm
10. 10.A rectangle is 16 cm long and 12 cm wide. What is its area? (a) 192 sq cm (b) 28 sq cm (c) 208 sq cm (d) 56 sq cm
11. 11.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 85 sq cm (b) 68 sq cm (c) 21 sq cm (d) 42 sq cm
12. 12.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its width? (a) 8 cm (b) 27 cm (c) 5 cm (d) 4 cm
13. 13.A rectangle is 20 cm long and 7 cm wide. What is its area? (a) 160 sq cm (b) 27 sq cm (c) 54 sq cm (d) 140 sq cm
14. 14.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 22 sq cm (b) 28 sq cm (c) 35 sq cm (d) 11 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) 24 cm (c) 13 cm (d) 209 cm
16. 16.A rectangle is 17 cm long and 12 cm wide. What is its area? (a) 29 sq cm (b) 58 sq cm (c) 204 sq cm (d) 221 sq cm
17. 17.A rectangle is 11 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 44 sq cm (c) 55 sq cm (d) 15 sq cm
18. 18.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 22 sq cm (c) 144 sq cm (d) 44 sq cm
19. 19.A rectangle is 17 cm long and 2 cm wide. What is its area? (a) 34 sq cm (b) 38 sq cm (c) 51 sq cm (d) 19 sq cm
20. 20.A rectangle has an area of 60 sq cm and a length of 12 cm. What is its width? (a) 10 cm (b) 5 cm (c) 48 cm (d) 6 cm
21. 21.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
22. 22.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 27 cm (b) 21 cm (c) 24 cm (d) 12 cm
23. 23.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
24. 24.A rectangle is 16 cm long and 10 cm wide. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 176 sq cm (d) 160 sq cm
25. 25.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 60 sq cm (c) 225 sq cm (d) 30 sq cm
26. 26.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
27. 27.A rectangle has an area of 96 sq cm and a length of 12 cm. What is its width? (a) 9 cm (b) 16 cm (c) 8 cm (d) 84 cm
28. 28.A rectangle is 20 cm long and 12 cm wide. What is its perimeter? (a) 240 cm (b) 32 cm (c) 52 cm (d) 64 cm
29. 29.A rectangle is 20 cm long and 5 cm wide. What is its area? (a) 100 sq cm (b) 120 sq cm (c) 50 sq cm (d) 25 sq cm
30. 30.A rectangle is 14 cm long and 11 cm wide. What is its area? (a) 25 sq cm (b) 168 sq cm (c) 50 sq cm (d) 154 sq cm
31. 31.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 18 sq cm (c) 36 sq cm (d) 100 sq cm
32. 32.A rectangle has an area of 90 sq cm and a length of 15 cm. What is its width? (a) 7 cm (b) 75 cm (c) 6 cm (d) 12 cm
33. 33.A rectangle is 18 cm long and 6 cm wide. What is its perimeter? (a) 108 cm (b) 24 cm (c) 48 cm (d) 42 cm
34. 34.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 13 cm (b) 24 cm (c) 198 cm (d) 12 cm
35. 35.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 28 sq cm (b) 21 sq cm (c) 10 sq cm (d) 20 sq cm
36. 36.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 36 sq cm (c) 24 sq cm (d) 12 sq cm
37. 37.A rectangle has an area of 64 sq cm and a length of 16 cm. What is its width? (a) 48 cm (b) 4 cm (c) 5 cm (d) 8 cm
38. 38.A rectangle has an area of 135 sq cm and a length of 15 cm. What is its width? (a) 18 cm (b) 120 cm (c) 10 cm (d) 9 cm
39. 39.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 13 sq cm (b) 45 sq cm (c) 26 sq cm (d) 36 sq cm
40. 40.A rectangle is 19 cm long and 11 cm wide. What is its area? (a) 209 sq cm (b) 30 sq cm (c) 60 sq cm (d) 228 sq cm

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