Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 89 · 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 52 cm. What is its area? (a) 26 sq cm (b) 196 sq cm (c) 52 sq cm (d) 169 sq cm
2. 2.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 24 cm (c) 12 cm (d) 20 cm
3. 3.A rectangle is 17 cm long and 11 cm wide. What is its perimeter? (a) 56 cm (b) 28 cm (c) 45 cm (d) 187 cm
4. 4.A rectangle has an area of 160 sq cm and a length of 16 cm. What is its width? (a) 11 cm (b) 20 cm (c) 10 cm (d) 144 cm
5. 5.A rectangle is 14 cm long and 12 cm wide. What is its area? (a) 26 sq cm (b) 168 sq cm (c) 52 sq cm (d) 182 sq cm
6. 6.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 22 sq cm (c) 44 sq cm (d) 121 sq cm
7. 7.A rectangle is 20 cm long and 7 cm wide. What is its perimeter? (a) 27 cm (b) 54 cm (c) 47 cm (d) 140 cm
8. 8.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 24 cm (b) 54 cm (c) 15 cm (d) 30 cm
9. 9.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 24 sq cm (c) 12 sq cm (d) 36 sq cm
10. 10.A rectangle has an area of 16 sq cm and a length of 8 cm. What is its width? (a) 8 cm (b) 3 cm (c) 4 cm (d) 2 cm
11. 11.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 18 cm (c) 9 cm (d) 16 cm
12. 12.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 28 sq cm (d) 21 sq cm
13. 13.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 68 sq cm (d) 85 sq cm
14. 14.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 36 sq cm (c) 22 sq cm (d) 11 sq cm
15. 15.A rectangle has an area of 72 sq cm and a length of 12 cm. What is its width? (a) 60 cm (b) 12 cm (c) 7 cm (d) 6 cm
16. 16.A rectangle is 13 cm long and 2 cm wide. What is its perimeter? (a) 15 cm (b) 26 cm (c) 28 cm (d) 30 cm
17. 17.A rectangle is 14 cm long and 5 cm wide. What is its perimeter? (a) 33 cm (b) 38 cm (c) 19 cm (d) 70 cm
18. 18.A rectangle is 12 cm long and 11 cm wide. What is its perimeter? (a) 132 cm (b) 46 cm (c) 35 cm (d) 23 cm
19. 19.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 220 cm (b) 12 cm (c) 24 cm (d) 13 cm
20. 20.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 17 cm (b) 30 cm (c) 22 cm (d) 11 cm
21. 21.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 99 sq cm (b) 40 sq cm (c) 110 sq cm (d) 20 sq cm
22. 22.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 40 sq cm (c) 100 sq cm (d) 20 sq cm
23. 23.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 36 sq cm (c) 10 sq cm (d) 25 sq cm
24. 24.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 32 cm (b) 48 cm (c) 16 cm (d) 28 cm
25. 25.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 180 cm (b) 22 cm (c) 11 cm (d) 12 cm
26. 26.A rectangle is 19 cm long and 12 cm wide. What is its area? (a) 62 sq cm (b) 31 sq cm (c) 247 sq cm (d) 228 sq cm
27. 27.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 10 cm (c) 20 cm (d) 18 cm
28. 28.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 48 sq cm (c) 144 sq cm (d) 24 sq cm
29. 29.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 17 cm (b) 21 cm (c) 20 cm (d) 10 cm
30. 30.A rectangle has an area of 78 sq cm and a length of 13 cm. What is its width? (a) 65 cm (b) 6 cm (c) 7 cm (d) 12 cm
31. 31.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 16 sq cm (c) 20 sq cm (d) 10 sq cm
32. 32.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 63 cm (b) 25 cm (c) 32 cm (d) 16 cm
33. 33.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 36 sq cm (b) 45 sq cm (c) 13 sq cm (d) 26 sq cm
34. 34.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 13 cm (b) 30 cm (c) 26 cm (d) 23 cm
35. 35.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 64 sq cm (d) 81 sq cm
36. 36.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 21 sq cm (b) 9 sq cm (c) 18 sq cm (d) 14 sq cm
37. 37.A rectangle has an area of 60 sq cm and a length of 15 cm. What is its width? (a) 5 cm (b) 8 cm (c) 45 cm (d) 4 cm
38. 38.A rectangle has an area of 10 sq cm and a length of 5 cm. What is its width? (a) 4 cm (b) 3 cm (c) 5 cm (d) 2 cm
39. 39.A rectangle has an area of 63 sq cm and a length of 9 cm. What is its width? (a) 54 cm (b) 8 cm (c) 14 cm (d) 7 cm
40. 40.A rectangle is 10 cm long and 7 cm wide. What is its perimeter? (a) 17 cm (b) 70 cm (c) 34 cm (d) 27 cm

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