Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 692 · 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 171 sq cm and a length of 19 cm. What is its width? (a) 10 cm (b) 152 cm (c) 18 cm (d) 9 cm
2. 2.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 20 cm (b) 10 cm (c) 21 cm (d) 17 cm
3. 3.A rectangle is 16 cm long and 11 cm wide. What is its area? (a) 54 sq cm (b) 27 sq cm (c) 176 sq cm (d) 192 sq cm
4. 4.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 9 cm (b) 77 cm (c) 8 cm (d) 16 cm
5. 5.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its width? (a) 24 cm (b) 10 cm (c) 6 cm (d) 5 cm
6. 6.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 196 sq cm (c) 169 sq cm (d) 26 sq cm
7. 7.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
8. 8.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 22 cm (b) 12 cm (c) 200 cm (d) 11 cm
9. 9.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 28 sq cm (b) 24 sq cm (c) 14 sq cm (d) 36 sq cm
10. 10.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 25 sq cm (c) 36 sq cm (d) 20 sq cm
11. 11.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 9 cm (b) 18 cm (c) 96 cm (d) 10 cm
12. 12.A rectangle is 19 cm long and 12 cm wide. What is its perimeter? (a) 228 cm (b) 50 cm (c) 31 cm (d) 62 cm
13. 13.A rectangle has an area of 160 sq cm and a length of 20 cm. What is its width? (a) 16 cm (b) 140 cm (c) 9 cm (d) 8 cm
14. 14.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
15. 15.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
16. 16.A rectangle is 12 cm long and 2 cm wide. What is its perimeter? (a) 28 cm (b) 14 cm (c) 26 cm (d) 24 cm
17. 17.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its width? (a) 14 cm (b) 108 cm (c) 8 cm (d) 7 cm
18. 18.A rectangle is 14 cm long and 7 cm wide. What is its area? (a) 98 sq cm (b) 21 sq cm (c) 42 sq cm (d) 112 sq cm
19. 19.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
20. 20.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 27 sq cm (b) 36 sq cm (c) 24 sq cm (d) 12 sq cm
21. 21.A rectangle is 20 cm long and 3 cm wide. What is its perimeter? (a) 60 cm (b) 43 cm (c) 23 cm (d) 46 cm
22. 22.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 121 sq cm (c) 100 sq cm (d) 40 sq cm
23. 23.A rectangle is 17 cm long and 9 cm wide. What is its area? (a) 170 sq cm (b) 52 sq cm (c) 26 sq cm (d) 153 sq cm
24. 24.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 50 sq cm (b) 15 sq cm (c) 30 sq cm (d) 60 sq cm
25. 25.A rectangle is 18 cm long and 9 cm wide. What is its perimeter? (a) 54 cm (b) 27 cm (c) 162 cm (d) 45 cm
26. 26.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 64 sq cm (d) 49 sq cm
27. 27.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 144 sq cm (c) 44 sq cm (d) 121 sq cm
28. 28.A rectangle has an area of 112 sq cm and a length of 16 cm. What is its width? (a) 8 cm (b) 7 cm (c) 96 cm (d) 14 cm
29. 29.A rectangle has an area of 38 sq cm and a length of 19 cm. What is its width? (a) 19 cm (b) 4 cm (c) 3 cm (d) 2 cm
30. 30.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 5 cm (b) 8 cm (c) 21 cm (d) 4 cm
31. 31.A rectangle is 17 cm long and 12 cm wide. What is its area? (a) 58 sq cm (b) 221 sq cm (c) 204 sq cm (d) 29 sq cm
32. 32.A rectangle is 16 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 32 sq cm (d) 48 sq cm
33. 33.A rectangle is 19 cm long and 4 cm wide. What is its perimeter? (a) 23 cm (b) 76 cm (c) 46 cm (d) 42 cm
34. 34.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 24 sq cm (c) 49 sq cm (d) 12 sq cm
35. 35.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 32 sq cm (b) 22 sq cm (c) 24 sq cm (d) 11 sq cm
36. 36.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 21 sq cm (b) 42 sq cm (c) 108 sq cm (d) 120 sq cm
37. 37.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 108 cm (b) 11 cm (c) 20 cm (d) 10 cm
38. 38.A rectangle is 14 cm long and 4 cm wide. What is its area? (a) 18 sq cm (b) 70 sq cm (c) 36 sq cm (d) 56 sq cm
39. 39.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 56 cm (b) 30 cm (c) 15 cm (d) 23 cm
40. 40.A rectangle is 18 cm long and 7 cm wide. What is its perimeter? (a) 43 cm (b) 25 cm (c) 126 cm (d) 50 cm

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