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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 206 · 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 12 cm long and 9 cm wide. What is its area? (a) 21 sq cm (b) 108 sq cm (c) 120 sq cm (d) 42 sq cm
  2. 2.A rectangle has an area of 90 sq cm and a length of 18 cm. What is its width? (a) 6 cm (b) 10 cm (c) 5 cm (d) 72 cm
  3. 3.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 176 cm (b) 24 cm (c) 12 cm (d) 13 cm
  4. 4.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 28 sq cm (c) 196 sq cm (d) 56 sq cm
  5. 5.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 170 sq cm (b) 27 sq cm (c) 54 sq cm (d) 187 sq cm
  6. 6.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 49 sq cm (d) 64 sq cm
  7. 7.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 12 cm (b) 24 cm (c) 187 cm (d) 13 cm
  8. 8.A rectangle is 17 cm long and 6 cm wide. What is its perimeter? (a) 23 cm (b) 40 cm (c) 46 cm (d) 102 cm
  9. 9.A rectangle has an area of 48 sq cm and a length of 12 cm. What is its width? (a) 4 cm (b) 36 cm (c) 8 cm (d) 5 cm
  10. 10.A rectangle is 17 cm long and 7 cm wide. What is its perimeter? (a) 41 cm (b) 48 cm (c) 24 cm (d) 119 cm
  11. 11.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
  12. 12.A rectangle is 20 cm long and 4 cm wide. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 100 sq cm (d) 80 sq cm
  13. 13.A rectangle is 20 cm long and 6 cm wide. What is its area? (a) 52 sq cm (b) 120 sq cm (c) 140 sq cm (d) 26 sq cm
  14. 14.A rectangle is 17 cm long and 7 cm wide. What is its area? (a) 24 sq cm (b) 136 sq cm (c) 119 sq cm (d) 48 sq cm
  15. 15.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 24 cm (b) 15 cm (c) 30 cm (d) 54 cm
  16. 16.A rectangle has an area of 162 sq cm and a length of 18 cm. What is its width? (a) 144 cm (b) 10 cm (c) 18 cm (d) 9 cm
  17. 17.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 13 sq cm (b) 45 sq cm (c) 26 sq cm (d) 36 sq cm
  18. 18.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 100 sq cm (c) 36 sq cm (d) 18 sq cm
  19. 19.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 12 sq cm (c) 18 sq cm (d) 16 sq cm
  20. 20.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 11 cm (b) 22 cm (c) 20 cm (d) 18 cm
  21. 21.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 144 sq cm (c) 121 sq cm (d) 44 sq cm
  22. 22.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 18 cm (c) 16 cm (d) 9 cm
  23. 23.A rectangle is 11 cm long and 4 cm wide. What is its area? (a) 55 sq cm (b) 30 sq cm (c) 44 sq cm (d) 15 sq cm
  24. 24.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 117 cm (b) 11 cm (c) 10 cm (d) 20 cm
  25. 25.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 72 sq cm (b) 32 sq cm (c) 16 sq cm (d) 63 sq cm
  26. 26.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 8 cm (b) 5 cm (c) 4 cm (d) 21 cm
  27. 27.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 120 cm (b) 11 cm (c) 12 cm (d) 22 cm
  28. 28.A rectangle is 19 cm long and 6 cm wide. What is its perimeter? (a) 44 cm (b) 25 cm (c) 114 cm (d) 50 cm
  29. 29.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its width? (a) 6 cm (b) 10 cm (c) 24 cm (d) 5 cm
  30. 30.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 40 sq cm (c) 121 sq cm (d) 20 sq cm
  31. 31.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 17 sq cm (b) 80 sq cm (c) 34 sq cm (d) 70 sq cm
  32. 32.A rectangle has an area of 38 sq cm and a length of 19 cm. What is its width? (a) 4 cm (b) 2 cm (c) 3 cm (d) 19 cm
  33. 33.A rectangle is 16 cm long and 5 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 80 sq cm (d) 96 sq cm
  34. 34.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 169 sq cm (c) 52 sq cm (d) 196 sq cm
  35. 35.A rectangle has an area of 120 sq cm and a length of 15 cm. What is its width? (a) 105 cm (b) 16 cm (c) 8 cm (d) 9 cm
  36. 36.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 24 cm (b) 21 cm (c) 12 cm (d) 27 cm
  37. 37.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 81 sq cm (c) 32 sq cm (d) 64 sq cm
  38. 38.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 12 cm (b) 22 cm (c) 170 cm (d) 11 cm
  39. 39.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 36 cm (b) 13 cm (c) 26 cm (d) 22 cm
  40. 40.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 21 cm (b) 26 cm (c) 40 cm (d) 13 cm

Answer key

  1. 108 sq cm
  2. 5 cm
  3. 12 cm
  4. 196 sq cm
  5. 170 sq cm
  6. 49 sq cm
  7. 12 cm
  8. 46 cm
  9. 4 cm
  10. 48 cm
  11. 25 sq cm
  12. 80 sq cm
  13. 120 sq cm
  14. 119 sq cm
  15. 30 cm
  16. 9 cm
  17. 36 sq cm
  18. 81 sq cm
  19. 12 sq cm
  20. 22 cm
  21. 121 sq cm
  22. 18 cm
  23. 44 sq cm
  24. 10 cm
  25. 63 sq cm
  26. 4 cm
  27. 11 cm
  28. 50 cm
  29. 5 cm
  30. 100 sq cm
  31. 70 sq cm
  32. 2 cm
  33. 80 sq cm
  34. 169 sq cm
  35. 8 cm
  36. 24 cm
  37. 64 sq cm
  38. 11 cm
  39. 26 cm
  40. 26 cm

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