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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 224 · 40 questions
TalentJR

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.

NameDateTime takenScore ___ / 40
  1. 1.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 63 cm (b) 32 cm (c) 25 cm (d) 16 cm
  2. 2.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 100 cm (b) 6 cm (c) 12 cm (d) 7 cm
  3. 3.A rectangle is 17 cm long and 6 cm wide. What is its area? (a) 46 sq cm (b) 119 sq cm (c) 23 sq cm (d) 102 sq cm
  4. 4.A rectangle is 20 cm long and 3 cm wide. What is its perimeter? (a) 43 cm (b) 46 cm (c) 60 cm (d) 23 cm
  5. 5.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 225 sq cm (c) 196 sq cm (d) 28 sq cm
  6. 6.A rectangle has an area of 40 sq cm and a length of 8 cm. What is its width? (a) 6 cm (b) 32 cm (c) 10 cm (d) 5 cm
  7. 7.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 48 sq cm (c) 24 sq cm (d) 169 sq cm
  8. 8.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 36 sq cm (d) 49 sq cm
  9. 9.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 54 cm (b) 24 cm (c) 30 cm (d) 15 cm
  10. 10.A rectangle is 18 cm long and 7 cm wide. What is its area? (a) 25 sq cm (b) 144 sq cm (c) 50 sq cm (d) 126 sq cm
  11. 11.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 8 sq cm (c) 16 sq cm (d) 12 sq cm
  12. 12.A rectangle has an area of 39 sq cm and a length of 13 cm. What is its width? (a) 26 cm (b) 3 cm (c) 6 cm (d) 4 cm
  13. 13.A rectangle has an area of 160 sq cm and a length of 20 cm. What is its width? (a) 9 cm (b) 8 cm (c) 140 cm (d) 16 cm
  14. 14.A rectangle has an area of 80 sq cm and a length of 10 cm. What is its width? (a) 70 cm (b) 9 cm (c) 8 cm (d) 16 cm
  15. 15.A rectangle has an area of 45 sq cm and a length of 9 cm. What is its width? (a) 36 cm (b) 10 cm (c) 5 cm (d) 6 cm
  16. 16.A rectangle is 20 cm long and 12 cm wide. What is its area? (a) 64 sq cm (b) 260 sq cm (c) 32 sq cm (d) 240 sq cm
  17. 17.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 44 sq cm (c) 144 sq cm (d) 22 sq cm
  18. 18.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 121 sq cm (c) 20 sq cm (d) 40 sq cm
  19. 19.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 49 sq cm (c) 28 sq cm (d) 14 sq cm
  20. 20.A rectangle is 14 cm long and 4 cm wide. What is its area? (a) 70 sq cm (b) 36 sq cm (c) 56 sq cm (d) 18 sq cm
  21. 21.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 78 sq cm (c) 65 sq cm (d) 18 sq cm
  22. 22.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 18 sq cm (c) 27 sq cm (d) 11 sq cm
  23. 23.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 15 sq cm (b) 50 sq cm (c) 30 sq cm (d) 60 sq cm
  24. 24.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 108 sq cm (b) 42 sq cm (c) 21 sq cm (d) 120 sq cm
  25. 25.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 17 sq cm (b) 72 sq cm (c) 81 sq cm (d) 34 sq cm
  26. 26.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 198 cm (b) 24 cm (c) 13 cm (d) 12 cm
  27. 27.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 81 sq cm (c) 100 sq cm (d) 36 sq cm
  28. 28.A rectangle has an area of 98 sq cm and a length of 14 cm. What is its width? (a) 8 cm (b) 7 cm (c) 84 cm (d) 14 cm
  29. 29.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 46 sq cm (b) 126 sq cm (c) 23 sq cm (d) 140 sq cm
  30. 30.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 32 cm (b) 60 cm (c) 16 cm (d) 26 cm
  31. 31.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 8 cm (b) 7 cm (c) 14 cm (d) 48 cm
  32. 32.A rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 4 cm (b) 8 cm (c) 6 cm (d) 3 cm
  33. 33.A rectangle is 18 cm long and 10 cm wide. What is its area? (a) 56 sq cm (b) 180 sq cm (c) 198 sq cm (d) 28 sq cm
  34. 34.A rectangle is 11 cm long and 6 cm wide. What is its perimeter? (a) 66 cm (b) 34 cm (c) 28 cm (d) 17 cm
  35. 35.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 154 cm (b) 13 cm (c) 12 cm (d) 24 cm
  36. 36.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 12 cm (b) 22 cm (c) 200 cm (d) 11 cm
  37. 37.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 28 cm (b) 22 cm (c) 48 cm (d) 14 cm
  38. 38.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 256 sq cm (d) 225 sq cm
  39. 39.A rectangle has an area of 28 sq cm and a length of 14 cm. What is its width? (a) 4 cm (b) 14 cm (c) 3 cm (d) 2 cm
  40. 40.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 21 sq cm (b) 68 sq cm (c) 85 sq cm (d) 42 sq cm

Answer key

  1. 32 cm
  2. 6 cm
  3. 102 sq cm
  4. 46 cm
  5. 196 sq cm
  6. 5 cm
  7. 144 sq cm
  8. 36 sq cm
  9. 30 cm
  10. 126 sq cm
  11. 12 sq cm
  12. 3 cm
  13. 8 cm
  14. 8 cm
  15. 5 cm
  16. 240 sq cm
  17. 121 sq cm
  18. 100 sq cm
  19. 49 sq cm
  20. 56 sq cm
  21. 65 sq cm
  22. 18 sq cm
  23. 50 sq cm
  24. 108 sq cm
  25. 72 sq cm
  26. 12 cm
  27. 81 sq cm
  28. 7 cm
  29. 126 sq cm
  30. 32 cm
  31. 7 cm
  32. 3 cm
  33. 180 sq cm
  34. 34 cm
  35. 12 cm
  36. 11 cm
  37. 28 cm
  38. 225 sq cm
  39. 2 cm
  40. 68 sq cm

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