Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 490 · 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 39 sq cm and a length of 13 cm. What is its width? (a) 6 cm (b) 26 cm (c) 3 cm (d) 4 cm
2. 2.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
3. 3.A rectangle has an area of 162 sq cm and a length of 18 cm. What is its width? (a) 144 cm (b) 18 cm (c) 10 cm (d) 9 cm
4. 4.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 16 cm (c) 18 cm (d) 9 cm
5. 5.A rectangle is 20 cm long and 2 cm wide. What is its perimeter? (a) 44 cm (b) 22 cm (c) 42 cm (d) 40 cm
6. 6.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 10 sq cm (b) 28 sq cm (c) 21 sq cm (d) 20 sq cm
7. 7.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 12 cm (b) 24 cm (c) 35 cm (d) 19 cm
8. 8.A rectangle has an area of 40 sq cm and a length of 8 cm. What is its width? (a) 10 cm (b) 5 cm (c) 6 cm (d) 32 cm
9. 9.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 14 sq cm (b) 24 sq cm (c) 36 sq cm (d) 28 sq cm
10. 10.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 40 sq cm (c) 12 sq cm (d) 32 sq cm
11. 11.A rectangle is 11 cm long and 8 cm wide. What is its perimeter? (a) 88 cm (b) 19 cm (c) 30 cm (d) 38 cm
12. 12.A rectangle has an area of 10 sq cm and a length of 5 cm. What is its width? (a) 3 cm (b) 5 cm (c) 2 cm (d) 4 cm
13. 13.A rectangle is 12 cm long and 9 cm wide. What is its perimeter? (a) 21 cm (b) 42 cm (c) 108 cm (d) 33 cm
14. 14.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 18 sq cm (c) 100 sq cm (d) 36 sq cm
15. 15.A rectangle is 14 cm long and 2 cm wide. What is its area? (a) 42 sq cm (b) 32 sq cm (c) 28 sq cm (d) 16 sq cm
16. 16.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
17. 17.A rectangle has an area of 190 sq cm and a length of 19 cm. What is its width? (a) 171 cm (b) 10 cm (c) 11 cm (d) 20 cm
18. 18.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 20 cm (b) 153 cm (c) 11 cm (d) 10 cm
19. 19.A rectangle is 13 cm long and 6 cm wide. What is its perimeter? (a) 32 cm (b) 19 cm (c) 78 cm (d) 38 cm
20. 20.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 8 cm (c) 14 cm (d) 12 cm
21. 21.A rectangle has an area of 140 sq cm and a length of 20 cm. What is its width? (a) 14 cm (b) 120 cm (c) 7 cm (d) 8 cm
22. 22.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 11 sq cm (b) 32 sq cm (c) 22 sq cm (d) 24 sq cm
23. 23.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
24. 24.A rectangle has an area of 64 sq cm and a length of 16 cm. What is its width? (a) 48 cm (b) 5 cm (c) 4 cm (d) 8 cm
25. 25.A rectangle is 17 cm long and 12 cm wide. What is its perimeter? (a) 46 cm (b) 29 cm (c) 204 cm (d) 58 cm
26. 26.A rectangle has an area of 63 sq cm and a length of 9 cm. What is its width? (a) 54 cm (b) 7 cm (c) 14 cm (d) 8 cm
27. 27.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 18 sq cm (c) 11 sq cm (d) 27 sq cm
28. 28.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 60 sq cm (d) 48 sq cm
29. 29.A rectangle is 20 cm long and 8 cm wide. What is its area? (a) 160 sq cm (b) 180 sq cm (c) 56 sq cm (d) 28 sq cm
30. 30.A rectangle is 17 cm long and 4 cm wide. What is its perimeter? (a) 68 cm (b) 42 cm (c) 38 cm (d) 21 cm
31. 31.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 49 sq cm (d) 36 sq cm
32. 32.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 24 cm (b) 12 cm (c) 187 cm (d) 13 cm
33. 33.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 10 cm (b) 20 cm (c) 17 cm (d) 21 cm
34. 34.A rectangle is 16 cm long and 7 cm wide. What is its perimeter? (a) 23 cm (b) 39 cm (c) 46 cm (d) 112 cm
35. 35.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 56 sq cm (c) 196 sq cm (d) 28 sq cm
36. 36.A rectangle is 16 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 48 cm (c) 35 cm (d) 38 cm
37. 37.A rectangle has an area of 80 sq cm and a length of 20 cm. What is its width? (a) 4 cm (b) 5 cm (c) 8 cm (d) 60 cm
38. 38.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 45 cm (b) 14 cm (c) 28 cm (d) 23 cm
39. 39.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 19 sq cm (b) 9 sq cm (c) 18 sq cm (d) 24 sq cm
40. 40.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 63 cm (b) 9 cm (c) 8 cm (d) 16 cm

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