Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 64 · 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 180 sq cm and a length of 20 cm. What is its width? (a) 160 cm (b) 18 cm (c) 9 cm (d) 10 cm
2. 2.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 9 cm (b) 16 cm (c) 119 cm (d) 8 cm
3. 3.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 25 sq cm (c) 36 sq cm (d) 10 sq cm
4. 4.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 16 cm (c) 12 cm (d) 8 cm
5. 5.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 12 sq cm (b) 35 sq cm (c) 42 sq cm (d) 24 sq cm
6. 6.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 64 sq cm (c) 81 sq cm (d) 16 sq cm
7. 7.A rectangle is 19 cm long and 5 cm wide. What is its area? (a) 95 sq cm (b) 114 sq cm (c) 24 sq cm (d) 48 sq cm
8. 8.A rectangle has an area of 56 sq cm and a length of 14 cm. What is its width? (a) 5 cm (b) 4 cm (c) 8 cm (d) 42 cm
9. 9.A rectangle is 13 cm long and 7 cm wide. What is its area? (a) 91 sq cm (b) 40 sq cm (c) 20 sq cm (d) 104 sq cm
10. 10.A rectangle is 14 cm long and 7 cm wide. What is its perimeter? (a) 21 cm (b) 98 cm (c) 35 cm (d) 42 cm
11. 11.A rectangle has an area of 77 sq cm and a length of 11 cm. What is its width? (a) 8 cm (b) 14 cm (c) 7 cm (d) 66 cm
12. 12.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 30 sq cm (c) 60 sq cm (d) 256 sq cm
13. 13.A rectangle has an area of 160 sq cm and a length of 16 cm. What is its width? (a) 144 cm (b) 20 cm (c) 11 cm (d) 10 cm
14. 14.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 17 cm (c) 10 cm (d) 20 cm
15. 15.A rectangle is 20 cm long and 6 cm wide. What is its area? (a) 140 sq cm (b) 52 sq cm (c) 26 sq cm (d) 120 sq cm
16. 16.A rectangle is 10 cm long and 9 cm wide. What is its perimeter? (a) 90 cm (b) 19 cm (c) 29 cm (d) 38 cm
17. 17.A rectangle has an area of 60 sq cm and a length of 10 cm. What is its width? (a) 7 cm (b) 50 cm (c) 6 cm (d) 12 cm
18. 18.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 19 sq cm (c) 18 sq cm (d) 9 sq cm
19. 19.A rectangle has an area of 80 sq cm and a length of 16 cm. What is its width? (a) 5 cm (b) 64 cm (c) 10 cm (d) 6 cm
20. 20.A rectangle is 13 cm long and 2 cm wide. What is its area? (a) 30 sq cm (b) 39 sq cm (c) 26 sq cm (d) 15 sq cm
21. 21.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 49 sq cm (c) 36 sq cm (d) 24 sq cm
22. 22.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 81 sq cm (b) 34 sq cm (c) 17 sq cm (d) 72 sq cm
23. 23.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 196 sq cm (c) 56 sq cm (d) 225 sq cm
24. 24.A rectangle is 16 cm long and 10 cm wide. What is its area? (a) 176 sq cm (b) 52 sq cm (c) 26 sq cm (d) 160 sq cm
25. 25.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 24 sq cm (c) 144 sq cm (d) 48 sq cm
26. 26.A rectangle is 16 cm long and 12 cm wide. What is its area? (a) 56 sq cm (b) 208 sq cm (c) 192 sq cm (d) 28 sq cm
27. 27.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 10 cm (b) 11 cm (c) 180 cm (d) 20 cm
28. 28.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 24 sq cm (c) 10 sq cm (d) 20 sq cm
29. 29.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 5 cm (b) 15 cm (c) 8 cm (d) 4 cm
30. 30.A rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 3 cm (b) 6 cm (c) 8 cm (d) 4 cm
31. 31.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 80 sq cm (b) 34 sq cm (c) 70 sq cm (d) 17 sq cm
32. 32.A rectangle is 20 cm long and 4 cm wide. What is its perimeter? (a) 48 cm (b) 24 cm (c) 80 cm (d) 44 cm
33. 33.A rectangle is 18 cm long and 5 cm wide. What is its perimeter? (a) 41 cm (b) 90 cm (c) 46 cm (d) 23 cm
34. 34.A rectangle is 19 cm long and 11 cm wide. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 209 sq cm (d) 228 sq cm
35. 35.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 11 sq cm (b) 22 sq cm (c) 28 sq cm (d) 35 sq cm
36. 36.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 196 sq cm (c) 26 sq cm (d) 52 sq cm
37. 37.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 110 sq cm (d) 99 sq cm
38. 38.A rectangle has an area of 84 sq cm and a length of 12 cm. What is its width? (a) 72 cm (b) 8 cm (c) 14 cm (d) 7 cm
39. 39.A rectangle is 18 cm long and 8 cm wide. What is its perimeter? (a) 144 cm (b) 52 cm (c) 26 cm (d) 44 cm
40. 40.A rectangle is 19 cm long and 8 cm wide. What is its area? (a) 54 sq cm (b) 152 sq cm (c) 171 sq cm (d) 27 sq cm

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