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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 598 · 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 square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 60 sq cm (c) 225 sq cm (d) 30 sq cm
  2. 2.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 12 cm (b) 143 cm (c) 13 cm (d) 24 cm
  3. 3.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 56 sq cm (b) 48 sq cm (c) 28 sq cm (d) 14 sq cm
  4. 4.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 21 sq cm (b) 120 sq cm (c) 108 sq cm (d) 42 sq cm
  5. 5.A rectangle has an area of 72 sq cm and a length of 18 cm. What is its width? (a) 8 cm (b) 5 cm (c) 4 cm (d) 54 cm
  6. 6.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 18 cm (c) 16 cm (d) 10 cm
  7. 7.A rectangle is 18 cm long and 9 cm wide. What is its area? (a) 180 sq cm (b) 27 sq cm (c) 54 sq cm (d) 162 sq cm
  8. 8.A rectangle is 16 cm long and 2 cm wide. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 48 sq cm (d) 32 sq cm
  9. 9.A rectangle has an area of 112 sq cm and a length of 16 cm. What is its width? (a) 7 cm (b) 96 cm (c) 14 cm (d) 8 cm
  10. 10.A rectangle is 19 cm long and 3 cm wide. What is its perimeter? (a) 44 cm (b) 41 cm (c) 22 cm (d) 57 cm
  11. 11.A rectangle is 17 cm long and 9 cm wide. What is its area? (a) 52 sq cm (b) 170 sq cm (c) 26 sq cm (d) 153 sq cm
  12. 12.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 20 sq cm (b) 99 sq cm (c) 110 sq cm (d) 40 sq cm
  13. 13.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 144 sq cm (d) 121 sq cm
  14. 14.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 9 cm (b) 19 cm (c) 15 cm (d) 18 cm
  15. 15.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 100 sq cm (c) 18 sq cm (d) 81 sq cm
  16. 16.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 40 cm (b) 24 cm (c) 14 cm (d) 28 cm
  17. 17.A rectangle is 17 cm long and 10 cm wide. What is its perimeter? (a) 170 cm (b) 54 cm (c) 44 cm (d) 27 cm
  18. 18.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 18 sq cm (b) 24 sq cm (c) 9 sq cm (d) 19 sq cm
  19. 19.A rectangle is 11 cm long and 4 cm wide. What is its perimeter? (a) 15 cm (b) 26 cm (c) 44 cm (d) 30 cm
  20. 20.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 8 cm (b) 16 cm (c) 9 cm (d) 119 cm
  21. 21.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 22 sq cm (b) 11 sq cm (c) 24 sq cm (d) 32 sq cm
  22. 22.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 27 sq cm (c) 18 sq cm (d) 11 sq cm
  23. 23.A rectangle is 17 cm long and 11 cm wide. What is its area? (a) 56 sq cm (b) 204 sq cm (c) 28 sq cm (d) 187 sq cm
  24. 24.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 11 sq cm (c) 36 sq cm (d) 22 sq cm
  25. 25.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 196 sq cm (c) 225 sq cm (d) 56 sq cm
  26. 26.A rectangle has an area of 80 sq cm and a length of 10 cm. What is its width? (a) 8 cm (b) 16 cm (c) 70 cm (d) 9 cm
  27. 27.A rectangle has an area of 40 sq cm and a length of 8 cm. What is its width? (a) 32 cm (b) 10 cm (c) 6 cm (d) 5 cm
  28. 28.A rectangle is 11 cm long and 4 cm wide. What is its area? (a) 55 sq cm (b) 15 sq cm (c) 44 sq cm (d) 30 sq cm
  29. 29.A rectangle is 20 cm long and 11 cm wide. What is its perimeter? (a) 51 cm (b) 220 cm (c) 62 cm (d) 31 cm
  30. 30.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 64 sq cm (d) 80 sq cm
  31. 31.A rectangle is 14 cm long and 7 cm wide. What is its perimeter? (a) 98 cm (b) 35 cm (c) 21 cm (d) 42 cm
  32. 32.A rectangle is 14 cm long and 11 cm wide. What is its area? (a) 50 sq cm (b) 168 sq cm (c) 25 sq cm (d) 154 sq cm
  33. 33.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 21 sq cm (c) 9 sq cm (d) 14 sq cm
  34. 34.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 12 cm (c) 22 cm (d) 24 cm
  35. 35.A rectangle is 18 cm long and 7 cm wide. What is its area? (a) 144 sq cm (b) 25 sq cm (c) 126 sq cm (d) 50 sq cm
  36. 36.A rectangle has an area of 160 sq cm and a length of 16 cm. What is its width? (a) 20 cm (b) 144 cm (c) 11 cm (d) 10 cm
  37. 37.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 15 cm (b) 8 cm (c) 5 cm (d) 4 cm
  38. 38.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 64 sq cm (c) 32 sq cm (d) 16 sq cm
  39. 39.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 117 cm (b) 10 cm (c) 20 cm (d) 11 cm
  40. 40.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 16 cm (b) 24 cm (c) 10 cm (d) 20 cm

Answer key

  1. 225 sq cm
  2. 12 cm
  3. 48 sq cm
  4. 108 sq cm
  5. 4 cm
  6. 20 cm
  7. 162 sq cm
  8. 32 sq cm
  9. 7 cm
  10. 44 cm
  11. 153 sq cm
  12. 99 sq cm
  13. 121 sq cm
  14. 18 cm
  15. 81 sq cm
  16. 28 cm
  17. 54 cm
  18. 18 sq cm
  19. 30 cm
  20. 8 cm
  21. 24 sq cm
  22. 18 sq cm
  23. 187 sq cm
  24. 30 sq cm
  25. 196 sq cm
  26. 8 cm
  27. 5 cm
  28. 44 sq cm
  29. 62 cm
  30. 64 sq cm
  31. 42 cm
  32. 154 sq cm
  33. 14 sq cm
  34. 24 cm
  35. 126 sq cm
  36. 10 cm
  37. 4 cm
  38. 64 sq cm
  39. 10 cm
  40. 20 cm

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