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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 222 · 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 has an area of 16 sq cm and a length of 8 cm. What is its width? (a) 8 cm (b) 3 cm (c) 2 cm (d) 4 cm
  2. 2.A rectangle has an area of 144 sq cm and a length of 16 cm. What is its width? (a) 128 cm (b) 18 cm (c) 10 cm (d) 9 cm
  3. 3.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 18 cm (c) 22 cm (d) 11 cm
  4. 4.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 24 cm (b) 12 cm (c) 21 cm (d) 27 cm
  5. 5.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 72 cm (b) 34 cm (c) 17 cm (d) 26 cm
  6. 6.A rectangle is 17 cm long and 3 cm wide. What is its perimeter? (a) 51 cm (b) 40 cm (c) 37 cm (d) 20 cm
  7. 7.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 26 cm (b) 22 cm (c) 36 cm (d) 13 cm
  8. 8.A rectangle has an area of 128 sq cm and a length of 16 cm. What is its width? (a) 16 cm (b) 112 cm (c) 8 cm (d) 9 cm
  9. 9.A rectangle is 14 cm long and 4 cm wide. What is its area? (a) 56 sq cm (b) 70 sq cm (c) 36 sq cm (d) 18 sq cm
  10. 10.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 81 sq cm (d) 64 sq cm
  11. 11.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 144 sq cm (c) 44 sq cm (d) 121 sq cm
  12. 12.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 15 sq cm (b) 63 sq cm (c) 30 sq cm (d) 54 sq cm
  13. 13.A rectangle is 17 cm long and 12 cm wide. What is its area? (a) 58 sq cm (b) 204 sq cm (c) 29 sq cm (d) 221 sq cm
  14. 14.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) 10 cm (d) 20 cm
  15. 15.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 14 sq cm (c) 28 sq cm (d) 64 sq cm
  16. 16.A rectangle is 17 cm long and 6 cm wide. What is its area? (a) 119 sq cm (b) 23 sq cm (c) 102 sq cm (d) 46 sq cm
  17. 17.A rectangle is 20 cm long and 9 cm wide. What is its area? (a) 29 sq cm (b) 58 sq cm (c) 180 sq cm (d) 200 sq cm
  18. 18.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 17 cm (b) 11 cm (c) 30 cm (d) 22 cm
  19. 19.A rectangle is 14 cm long and 7 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 112 sq cm (d) 98 sq cm
  20. 20.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 130 cm (b) 12 cm (c) 11 cm (d) 22 cm
  21. 21.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 11 cm (b) 28 cm (c) 18 cm (d) 22 cm
  22. 22.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 10 sq cm (c) 20 sq cm (d) 25 sq cm
  23. 23.A rectangle has an area of 162 sq cm and a length of 18 cm. What is its width? (a) 144 cm (b) 9 cm (c) 18 cm (d) 10 cm
  24. 24.A rectangle is 17 cm long and 11 cm wide. What is its area? (a) 204 sq cm (b) 187 sq cm (c) 28 sq cm (d) 56 sq cm
  25. 25.A rectangle has an area of 112 sq cm and a length of 16 cm. What is its width? (a) 14 cm (b) 7 cm (c) 96 cm (d) 8 cm
  26. 26.A rectangle is 19 cm long and 4 cm wide. What is its perimeter? (a) 76 cm (b) 46 cm (c) 42 cm (d) 23 cm
  27. 27.A rectangle is 18 cm long and 3 cm wide. What is its area? (a) 54 sq cm (b) 72 sq cm (c) 21 sq cm (d) 42 sq cm
  28. 28.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 40 cm (b) 14 cm (c) 28 cm (d) 24 cm
  29. 29.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 198 cm (b) 12 cm (c) 24 cm (d) 13 cm
  30. 30.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 169 sq cm (c) 196 sq cm (d) 52 sq cm
  31. 31.A rectangle is 17 cm long and 8 cm wide. What is its area? (a) 50 sq cm (b) 153 sq cm (c) 136 sq cm (d) 25 sq cm
  32. 32.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 256 sq cm (d) 225 sq cm
  33. 33.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 11 sq cm (c) 36 sq cm (d) 30 sq cm
  34. 34.A rectangle is 17 cm long and 4 cm wide. What is its perimeter? (a) 68 cm (b) 21 cm (c) 42 cm (d) 38 cm
  35. 35.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 100 sq cm (d) 81 sq cm
  36. 36.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 18 sq cm (c) 12 sq cm (d) 16 sq cm
  37. 37.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 22 cm (b) 11 cm (c) 12 cm (d) 170 cm
  38. 38.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 4 cm (b) 3 cm (c) 6 cm (d) 2 cm
  39. 39.A rectangle is 17 cm long and 12 cm wide. What is its perimeter? (a) 29 cm (b) 46 cm (c) 204 cm (d) 58 cm
  40. 40.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its width? (a) 12 cm (b) 6 cm (c) 7 cm (d) 35 cm

Answer key

  1. 2 cm
  2. 9 cm
  3. 22 cm
  4. 24 cm
  5. 34 cm
  6. 40 cm
  7. 26 cm
  8. 8 cm
  9. 56 sq cm
  10. 64 sq cm
  11. 121 sq cm
  12. 54 sq cm
  13. 204 sq cm
  14. 10 cm
  15. 49 sq cm
  16. 102 sq cm
  17. 180 sq cm
  18. 22 cm
  19. 98 sq cm
  20. 11 cm
  21. 22 cm
  22. 25 sq cm
  23. 9 cm
  24. 187 sq cm
  25. 7 cm
  26. 46 cm
  27. 54 sq cm
  28. 28 cm
  29. 12 cm
  30. 169 sq cm
  31. 136 sq cm
  32. 225 sq cm
  33. 30 sq cm
  34. 42 cm
  35. 81 sq cm
  36. 12 sq cm
  37. 11 cm
  38. 2 cm
  39. 58 cm
  40. 6 cm

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