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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 603 · 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 8 cm long and 5 cm wide. What is its perimeter? (a) 40 cm (b) 13 cm (c) 26 cm (d) 21 cm
  2. 2.A rectangle is 20 cm long and 6 cm wide. What is its area? (a) 120 sq cm (b) 52 sq cm (c) 26 sq cm (d) 140 sq cm
  3. 3.A rectangle is 19 cm long and 7 cm wide. What is its area? (a) 26 sq cm (b) 133 sq cm (c) 52 sq cm (d) 152 sq cm
  4. 4.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 11 cm (b) 20 cm (c) 10 cm (d) 153 cm
  5. 5.A rectangle has an area of 24 sq cm and a length of 6 cm. What is its width? (a) 8 cm (b) 18 cm (c) 4 cm (d) 5 cm
  6. 6.A rectangle is 20 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 60 sq cm (c) 44 sq cm (d) 40 sq cm
  7. 7.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 20 sq cm (c) 24 sq cm (d) 10 sq cm
  8. 8.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 12 cm (b) 22 cm (c) 11 cm (d) 180 cm
  9. 9.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 121 sq cm (d) 110 sq cm
  10. 10.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 16 cm (b) 8 cm (c) 9 cm (d) 63 cm
  11. 11.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 9 sq cm (b) 21 sq cm (c) 14 sq cm (d) 18 sq cm
  12. 12.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 28 sq cm (c) 56 sq cm (d) 225 sq cm
  13. 13.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 28 cm (b) 18 cm (c) 36 cm (d) 80 cm
  14. 14.A rectangle has an area of 45 sq cm and a length of 9 cm. What is its width? (a) 36 cm (b) 6 cm (c) 10 cm (d) 5 cm
  15. 15.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 16 sq cm (c) 81 sq cm (d) 32 sq cm
  16. 16.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 49 sq cm (c) 24 sq cm (d) 36 sq cm
  17. 17.A rectangle is 17 cm long and 12 cm wide. What is its area? (a) 221 sq cm (b) 29 sq cm (c) 58 sq cm (d) 204 sq cm
  18. 18.A rectangle is 14 cm long and 6 cm wide. What is its perimeter? (a) 20 cm (b) 84 cm (c) 40 cm (d) 34 cm
  19. 19.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 70 sq cm (d) 60 sq cm
  20. 20.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 32 cm (b) 12 cm (c) 24 cm (d) 20 cm
  21. 21.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 26 sq cm (c) 52 sq cm (d) 169 sq cm
  22. 22.A rectangle has an area of 42 sq cm and a length of 14 cm. What is its width? (a) 28 cm (b) 3 cm (c) 4 cm (d) 6 cm
  23. 23.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 132 sq cm (b) 22 sq cm (c) 120 sq cm (d) 44 sq cm
  24. 24.A rectangle has an area of 85 sq cm and a length of 17 cm. What is its width? (a) 6 cm (b) 10 cm (c) 68 cm (d) 5 cm
  25. 25.A rectangle has an area of 140 sq cm and a length of 20 cm. What is its width? (a) 14 cm (b) 8 cm (c) 120 cm (d) 7 cm
  26. 26.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 136 cm (b) 9 cm (c) 18 cm (d) 10 cm
  27. 27.A rectangle has an area of 51 sq cm and a length of 17 cm. What is its width? (a) 4 cm (b) 3 cm (c) 6 cm (d) 34 cm
  28. 28.A rectangle is 20 cm long and 3 cm wide. What is its area? (a) 46 sq cm (b) 23 sq cm (c) 80 sq cm (d) 60 sq cm
  29. 29.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 143 cm (b) 24 cm (c) 12 cm (d) 13 cm
  30. 30.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 20 cm (b) 108 cm (c) 11 cm (d) 10 cm
  31. 31.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
  32. 32.A rectangle is 19 cm long and 8 cm wide. What is its area? (a) 152 sq cm (b) 27 sq cm (c) 171 sq cm (d) 54 sq cm
  33. 33.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 28 sq cm (c) 64 sq cm (d) 14 sq cm
  34. 34.A rectangle has an area of 75 sq cm and a length of 15 cm. What is its width? (a) 6 cm (b) 5 cm (c) 10 cm (d) 60 cm
  35. 35.A rectangle is 12 cm long and 7 cm wide. What is its perimeter? (a) 19 cm (b) 84 cm (c) 31 cm (d) 38 cm
  36. 36.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 180 cm (b) 11 cm (c) 20 cm (d) 10 cm
  37. 37.A rectangle has an area of 128 sq cm and a length of 16 cm. What is its width? (a) 8 cm (b) 9 cm (c) 112 cm (d) 16 cm
  38. 38.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 14 cm (c) 18 cm (d) 9 cm
  39. 39.A rectangle is 18 cm long and 2 cm wide. What is its area? (a) 36 sq cm (b) 54 sq cm (c) 40 sq cm (d) 20 sq cm
  40. 40.A rectangle is 13 cm long and 12 cm wide. What is its area? (a) 50 sq cm (b) 25 sq cm (c) 156 sq cm (d) 169 sq cm

Answer key

  1. 26 cm
  2. 120 sq cm
  3. 133 sq cm
  4. 10 cm
  5. 4 cm
  6. 40 sq cm
  7. 16 sq cm
  8. 11 cm
  9. 110 sq cm
  10. 8 cm
  11. 14 sq cm
  12. 196 sq cm
  13. 36 cm
  14. 5 cm
  15. 64 sq cm
  16. 36 sq cm
  17. 204 sq cm
  18. 40 cm
  19. 60 sq cm
  20. 24 cm
  21. 169 sq cm
  22. 3 cm
  23. 120 sq cm
  24. 5 cm
  25. 7 cm
  26. 9 cm
  27. 3 cm
  28. 60 sq cm
  29. 12 cm
  30. 10 cm
  31. 225 sq cm
  32. 152 sq cm
  33. 49 sq cm
  34. 5 cm
  35. 38 cm
  36. 10 cm
  37. 8 cm
  38. 18 cm
  39. 36 sq cm
  40. 156 sq cm

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