Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 289 · 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 32 cm. What is its area? (a) 81 sq cm (b) 32 sq cm (c) 16 sq cm (d) 64 sq cm
2. 2.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 34 cm (b) 26 cm (c) 72 cm (d) 17 cm
3. 3.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 11 cm (b) 20 cm (c) 180 cm (d) 10 cm
4. 4.A rectangle has an area of 51 sq cm and a length of 17 cm. What is its width? (a) 34 cm (b) 3 cm (c) 6 cm (d) 4 cm
5. 5.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 24 sq cm (c) 48 sq cm (d) 169 sq cm
6. 6.A rectangle has an area of 30 sq cm and a length of 15 cm. What is its width? (a) 3 cm (b) 15 cm (c) 2 cm (d) 4 cm
7. 7.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 11 cm (b) 10 cm (c) 99 cm (d) 20 cm
8. 8.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 80 sq cm (b) 36 sq cm (c) 90 sq cm (d) 18 sq cm
9. 9.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 64 sq cm (d) 49 sq cm
10. 10.A rectangle is 18 cm long and 6 cm wide. What is its perimeter? (a) 42 cm (b) 24 cm (c) 48 cm (d) 108 cm
11. 11.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 20 sq cm (c) 25 sq cm (d) 10 sq cm
12. 12.A rectangle is 16 cm long and 5 cm wide. What is its perimeter? (a) 21 cm (b) 37 cm (c) 80 cm (d) 42 cm
13. 13.A rectangle is 13 cm long and 6 cm wide. What is its area? (a) 19 sq cm (b) 78 sq cm (c) 38 sq cm (d) 91 sq cm
14. 14.A rectangle has an area of 38 sq cm and a length of 19 cm. What is its width? (a) 4 cm (b) 2 cm (c) 3 cm (d) 19 cm
15. 15.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 49 sq cm (c) 24 sq cm (d) 36 sq cm
16. 16.A rectangle is 16 cm long and 6 cm wide. What is its area? (a) 44 sq cm (b) 96 sq cm (c) 112 sq cm (d) 22 sq cm
17. 17.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 121 sq cm (d) 100 sq cm
18. 18.A rectangle has an area of 30 sq cm and a length of 10 cm. What is its width? (a) 20 cm (b) 4 cm (c) 6 cm (d) 3 cm
19. 19.A rectangle is 20 cm long and 11 cm wide. What is its perimeter? (a) 31 cm (b) 220 cm (c) 51 cm (d) 62 cm
20. 20.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 30 sq cm (c) 20 sq cm (d) 12 sq cm
21. 21.A rectangle is 18 cm long and 8 cm wide. What is its area? (a) 26 sq cm (b) 162 sq cm (c) 52 sq cm (d) 144 sq cm
22. 22.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 121 sq cm (c) 44 sq cm (d) 144 sq cm
23. 23.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 60 cm (b) 32 cm (c) 16 cm (d) 26 cm
24. 24.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 24 cm (b) 13 cm (c) 12 cm (d) 154 cm
25. 25.A rectangle is 20 cm long and 7 cm wide. What is its area? (a) 54 sq cm (b) 140 sq cm (c) 27 sq cm (d) 160 sq cm
26. 26.A rectangle is 18 cm long and 11 cm wide. What is its perimeter? (a) 198 cm (b) 58 cm (c) 47 cm (d) 29 cm
27. 27.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 10 sq cm (c) 20 sq cm (d) 24 sq cm
28. 28.A rectangle is 19 cm long and 9 cm wide. What is its area? (a) 171 sq cm (b) 190 sq cm (c) 56 sq cm (d) 28 sq cm
29. 29.A rectangle is 19 cm long and 5 cm wide. What is its perimeter? (a) 48 cm (b) 95 cm (c) 43 cm (d) 24 cm
30. 30.A rectangle is 12 cm long and 2 cm wide. What is its perimeter? (a) 28 cm (b) 24 cm (c) 26 cm (d) 14 cm
31. 31.A rectangle is 15 cm long and 6 cm wide. What is its perimeter? (a) 90 cm (b) 42 cm (c) 36 cm (d) 21 cm
32. 32.A rectangle is 16 cm long and 4 cm wide. What is its perimeter? (a) 64 cm (b) 20 cm (c) 36 cm (d) 40 cm
33. 33.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 16 sq cm (c) 12 sq cm (d) 8 sq cm
34. 34.A rectangle is 19 cm long and 11 cm wide. What is its area? (a) 209 sq cm (b) 30 sq cm (c) 228 sq cm (d) 60 sq cm
35. 35.A rectangle has an area of 108 sq cm and a length of 18 cm. What is its width? (a) 12 cm (b) 90 cm (c) 7 cm (d) 6 cm
36. 36.A rectangle has an area of 144 sq cm and a length of 16 cm. What is its width? (a) 10 cm (b) 9 cm (c) 128 cm (d) 18 cm
37. 37.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 16 cm (c) 10 cm (d) 24 cm
38. 38.A rectangle has an area of 14 sq cm and a length of 7 cm. What is its width? (a) 4 cm (b) 2 cm (c) 3 cm (d) 7 cm
39. 39.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 12 cm (b) 165 cm (c) 13 cm (d) 24 cm
40. 40.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 8 cm (c) 16 cm (d) 12 cm

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