Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 74 · 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 is 17 cm long and 4 cm wide. What is its perimeter? (a) 38 cm (b) 68 cm (c) 42 cm (d) 21 cm
2. 2.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 121 sq cm (c) 44 sq cm (d) 22 sq cm
3. 3.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its width? (a) 27 cm (b) 8 cm (c) 5 cm (d) 4 cm
4. 4.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 52 sq cm (c) 169 sq cm (d) 26 sq cm
5. 5.A rectangle has an area of 190 sq cm and a length of 19 cm. What is its width? (a) 171 cm (b) 20 cm (c) 10 cm (d) 11 cm
6. 6.A rectangle is 16 cm long and 8 cm wide. What is its area? (a) 128 sq cm (b) 24 sq cm (c) 48 sq cm (d) 144 sq cm
7. 7.A rectangle is 12 cm long and 6 cm wide. What is its area? (a) 72 sq cm (b) 18 sq cm (c) 84 sq cm (d) 36 sq cm
8. 8.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
9. 9.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 140 sq cm (b) 46 sq cm (c) 23 sq cm (d) 126 sq cm
10. 10.A rectangle is 13 cm long and 2 cm wide. What is its area? (a) 39 sq cm (b) 26 sq cm (c) 30 sq cm (d) 15 sq cm
11. 11.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 100 sq cm (c) 36 sq cm (d) 81 sq cm
12. 12.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 13 cm (b) 12 cm (c) 187 cm (d) 24 cm
13. 13.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 11 cm (c) 20 cm (d) 22 cm
14. 14.A rectangle is 11 cm long and 8 cm wide. What is its perimeter? (a) 30 cm (b) 88 cm (c) 19 cm (d) 38 cm
15. 15.A rectangle is 16 cm long and 7 cm wide. What is its area? (a) 46 sq cm (b) 23 sq cm (c) 128 sq cm (d) 112 sq cm
16. 16.A rectangle has an area of 78 sq cm and a length of 13 cm. What is its width? (a) 65 cm (b) 12 cm (c) 7 cm (d) 6 cm
17. 17.A rectangle has an area of 45 sq cm and a length of 15 cm. What is its width? (a) 6 cm (b) 4 cm (c) 30 cm (d) 3 cm
18. 18.A rectangle is 18 cm long and 6 cm wide. What is its perimeter? (a) 108 cm (b) 48 cm (c) 24 cm (d) 42 cm
19. 19.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
20. 20.A rectangle has an area of 84 sq cm and a length of 12 cm. What is its width? (a) 8 cm (b) 7 cm (c) 72 cm (d) 14 cm
21. 21.A rectangle is 15 cm long and 11 cm wide. What is its perimeter? (a) 26 cm (b) 41 cm (c) 165 cm (d) 52 cm
22. 22.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 12 cm (c) 24 cm (d) 22 cm
23. 23.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 9 sq cm (b) 18 sq cm (c) 21 sq cm (d) 14 sq cm
24. 24.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 22 sq cm (b) 28 sq cm (c) 11 sq cm (d) 35 sq cm
25. 25.A rectangle has an area of 54 sq cm and a length of 9 cm. What is its width? (a) 12 cm (b) 6 cm (c) 7 cm (d) 45 cm
26. 26.A rectangle has an area of 56 sq cm and a length of 14 cm. What is its width? (a) 4 cm (b) 42 cm (c) 8 cm (d) 5 cm
27. 27.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 100 sq cm (c) 121 sq cm (d) 20 sq cm
28. 28.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 11 sq cm (b) 24 sq cm (c) 22 sq cm (d) 32 sq cm
29. 29.A rectangle has an area of 80 sq cm and a length of 20 cm. What is its width? (a) 60 cm (b) 4 cm (c) 8 cm (d) 5 cm
30. 30.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
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) 23 sq cm (d) 76 sq cm
32. 32.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 240 sq cm (b) 31 sq cm (c) 62 sq cm (d) 220 sq cm
33. 33.A rectangle is 20 cm long and 10 cm wide. What is its perimeter? (a) 200 cm (b) 60 cm (c) 50 cm (d) 30 cm
34. 34.A rectangle has an area of 30 sq cm and a length of 10 cm. What is its width? (a) 3 cm (b) 20 cm (c) 6 cm (d) 4 cm
35. 35.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 30 cm (b) 11 cm (c) 17 cm (d) 22 cm
36. 36.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 14 cm (c) 12 cm (d) 8 cm
37. 37.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 28 cm (b) 22 cm (c) 14 cm (d) 48 cm
38. 38.A rectangle is 14 cm long and 5 cm wide. What is its area? (a) 38 sq cm (b) 84 sq cm (c) 19 sq cm (d) 70 sq cm
39. 39.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 20 cm (c) 32 cm (d) 12 cm
40. 40.A rectangle has an area of 66 sq cm and a length of 11 cm. What is its width? (a) 55 cm (b) 12 cm (c) 6 cm (d) 7 cm

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