Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 977 · 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 square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 14 sq cm (c) 49 sq cm (d) 28 sq cm
2. 2.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 190 cm (b) 12 cm (c) 11 cm (d) 22 cm
3. 3.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 100 sq cm (c) 18 sq cm (d) 36 sq cm
4. 4.A rectangle has an area of 180 sq cm and a length of 20 cm. What is its width? (a) 9 cm (b) 160 cm (c) 10 cm (d) 18 cm
5. 5.A rectangle is 13 cm long and 4 cm wide. What is its area? (a) 65 sq cm (b) 52 sq cm (c) 34 sq cm (d) 17 sq cm
6. 6.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 11 sq cm (b) 22 sq cm (c) 30 sq cm (d) 36 sq cm
7. 7.A rectangle is 18 cm long and 10 cm wide. What is its perimeter? (a) 46 cm (b) 180 cm (c) 56 cm (d) 28 cm
8. 8.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 9 cm (b) 10 cm (c) 18 cm (d) 96 cm
9. 9.A rectangle is 20 cm long and 10 cm wide. What is its area? (a) 30 sq cm (b) 220 sq cm (c) 60 sq cm (d) 200 sq cm
10. 10.A rectangle is 12 cm long and 2 cm wide. What is its perimeter? (a) 26 cm (b) 28 cm (c) 24 cm (d) 14 cm
11. 11.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 8 cm (b) 77 cm (c) 16 cm (d) 9 cm
12. 12.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 256 sq cm (d) 225 sq cm
13. 13.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 18 sq cm (b) 9 sq cm (c) 19 sq cm (d) 24 sq cm
14. 14.A rectangle is 20 cm long and 5 cm wide. What is its perimeter? (a) 25 cm (b) 100 cm (c) 45 cm (d) 50 cm
15. 15.A rectangle is 12 cm long and 5 cm wide. What is its perimeter? (a) 17 cm (b) 29 cm (c) 60 cm (d) 34 cm
16. 16.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 25 cm (b) 33 cm (c) 14 cm (d) 28 cm
17. 17.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 18 cm (b) 136 cm (c) 9 cm (d) 10 cm
18. 18.A rectangle is 18 cm long and 3 cm wide. What is its area? (a) 54 sq cm (b) 21 sq cm (c) 42 sq cm (d) 72 sq cm
19. 19.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 11 cm (c) 22 cm (d) 18 cm
20. 20.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 50 sq cm (b) 14 sq cm (c) 40 sq cm (d) 28 sq cm
21. 21.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 16 cm (c) 12 cm (d) 8 cm
22. 22.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 64 sq cm (c) 32 sq cm (d) 81 sq cm
23. 23.A rectangle is 18 cm long and 12 cm wide. What is its area? (a) 216 sq cm (b) 30 sq cm (c) 60 sq cm (d) 234 sq cm
24. 24.A rectangle has an area of 60 sq cm and a length of 15 cm. What is its width? (a) 45 cm (b) 4 cm (c) 5 cm (d) 8 cm
25. 25.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 144 sq cm (d) 121 sq cm
26. 26.A rectangle has an area of 90 sq cm and a length of 18 cm. What is its width? (a) 5 cm (b) 6 cm (c) 10 cm (d) 72 cm
27. 27.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 180 cm (b) 12 cm (c) 22 cm (d) 11 cm
28. 28.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 12 sq cm (c) 8 sq cm (d) 16 sq cm
29. 29.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 25 sq cm (c) 20 sq cm (d) 10 sq cm
30. 30.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 19 cm (b) 12 cm (c) 24 cm (d) 35 cm
31. 31.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 46 sq cm (b) 95 sq cm (c) 76 sq cm (d) 23 sq cm
32. 32.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 36 sq cm (c) 12 sq cm (d) 24 sq cm
33. 33.A rectangle has an area of 30 sq cm and a length of 10 cm. What is its width? (a) 4 cm (b) 3 cm (c) 6 cm (d) 20 cm
34. 34.A rectangle is 19 cm long and 10 cm wide. What is its perimeter? (a) 48 cm (b) 58 cm (c) 190 cm (d) 29 cm
35. 35.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 18 cm (c) 11 cm (d) 20 cm
36. 36.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 30 sq cm (b) 12 sq cm (c) 24 sq cm (d) 20 sq cm
37. 37.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 14 sq cm (d) 48 sq cm
38. 38.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 169 sq cm (d) 196 sq cm
39. 39.A rectangle is 20 cm long and 12 cm wide. What is its area? (a) 64 sq cm (b) 240 sq cm (c) 32 sq cm (d) 260 sq cm
40. 40.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 10 cm (b) 20 cm (c) 18 cm (d) 16 cm

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