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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 81 · 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 168 sq cm and a length of 14 cm. What is its width? (a) 13 cm (b) 12 cm (c) 24 cm (d) 154 cm
  2. 2.A rectangle is 11 cm long and 5 cm wide. What is its perimeter? (a) 16 cm (b) 32 cm (c) 55 cm (d) 27 cm
  3. 3.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 25 sq cm (d) 36 sq cm
  4. 4.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 30 sq cm (c) 60 sq cm (d) 225 sq cm
  5. 5.A rectangle is 11 cm long and 8 cm wide. What is its area? (a) 38 sq cm (b) 19 sq cm (c) 99 sq cm (d) 88 sq cm
  6. 6.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 15 cm (b) 19 cm (c) 18 cm (d) 9 cm
  7. 7.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 30 sq cm (b) 12 sq cm (c) 20 sq cm (d) 24 sq cm
  8. 8.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 21 cm (b) 5 cm (c) 4 cm (d) 8 cm
  9. 9.A rectangle has an area of 48 sq cm and a length of 16 cm. What is its width? (a) 4 cm (b) 6 cm (c) 3 cm (d) 32 cm
  10. 10.A rectangle has an area of 80 sq cm and a length of 10 cm. What is its width? (a) 9 cm (b) 8 cm (c) 70 cm (d) 16 cm
  11. 11.A rectangle is 19 cm long and 4 cm wide. What is its perimeter? (a) 23 cm (b) 46 cm (c) 42 cm (d) 76 cm
  12. 12.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 21 sq cm (c) 10 sq cm (d) 28 sq cm
  13. 13.A rectangle is 16 cm long and 8 cm wide. What is its perimeter? (a) 128 cm (b) 40 cm (c) 24 cm (d) 48 cm
  14. 14.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 28 sq cm (b) 11 sq cm (c) 35 sq cm (d) 22 sq cm
  15. 15.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 64 sq cm (c) 16 sq cm (d) 81 sq cm
  16. 16.A rectangle is 18 cm long and 10 cm wide. What is its area? (a) 180 sq cm (b) 28 sq cm (c) 198 sq cm (d) 56 sq cm
  17. 17.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 85 sq cm (d) 68 sq cm
  18. 18.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 10 cm (b) 11 cm (c) 20 cm (d) 117 cm
  19. 19.A rectangle is 20 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 44 cm (c) 48 cm (d) 80 cm
  20. 20.A rectangle is 19 cm long and 7 cm wide. What is its perimeter? (a) 133 cm (b) 52 cm (c) 45 cm (d) 26 cm
  21. 21.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 10 cm (b) 11 cm (c) 20 cm (d) 153 cm
  22. 22.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 34 sq cm (b) 17 sq cm (c) 56 sq cm (d) 42 sq cm
  23. 23.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 70 sq cm (b) 16 sq cm (c) 32 sq cm (d) 60 sq cm
  24. 24.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 9 sq cm (c) 18 sq cm (d) 19 sq cm
  25. 25.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 80 cm (b) 10 cm (c) 18 cm (d) 9 cm
  26. 26.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 13 cm (b) 24 cm (c) 12 cm (d) 187 cm
  27. 27.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 56 sq cm (c) 196 sq cm (d) 28 sq cm
  28. 28.A rectangle is 11 cm long and 4 cm wide. What is its perimeter? (a) 15 cm (b) 30 cm (c) 44 cm (d) 26 cm
  29. 29.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
  30. 30.A rectangle has an area of 57 sq cm and a length of 19 cm. What is its width? (a) 6 cm (b) 4 cm (c) 3 cm (d) 38 cm
  31. 31.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 49 sq cm (c) 24 sq cm (d) 12 sq cm
  32. 32.A rectangle is 12 cm long and 11 cm wide. What is its perimeter? (a) 46 cm (b) 35 cm (c) 132 cm (d) 23 cm
  33. 33.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 24 cm (b) 21 cm (c) 27 cm (d) 12 cm
  34. 34.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 140 sq cm (b) 126 sq cm (c) 46 sq cm (d) 23 sq cm
  35. 35.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 26 cm (c) 13 cm (d) 24 cm
  36. 36.A rectangle has an area of 114 sq cm and a length of 19 cm. What is its width? (a) 7 cm (b) 6 cm (c) 95 cm (d) 12 cm
  37. 37.A rectangle is 15 cm long and 2 cm wide. What is its perimeter? (a) 30 cm (b) 17 cm (c) 34 cm (d) 32 cm
  38. 38.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) 13 cm (d) 24 cm
  39. 39.A rectangle is 13 cm long and 8 cm wide. What is its perimeter? (a) 42 cm (b) 34 cm (c) 104 cm (d) 21 cm
  40. 40.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 26 sq cm (b) 40 sq cm (c) 48 sq cm (d) 13 sq cm

Answer key

  1. 12 cm
  2. 32 cm
  3. 25 sq cm
  4. 225 sq cm
  5. 88 sq cm
  6. 18 cm
  7. 20 sq cm
  8. 4 cm
  9. 3 cm
  10. 8 cm
  11. 46 cm
  12. 21 sq cm
  13. 48 cm
  14. 28 sq cm
  15. 64 sq cm
  16. 180 sq cm
  17. 68 sq cm
  18. 10 cm
  19. 48 cm
  20. 52 cm
  21. 10 cm
  22. 42 sq cm
  23. 60 sq cm
  24. 18 sq cm
  25. 9 cm
  26. 12 cm
  27. 196 sq cm
  28. 30 cm
  29. 28 cm
  30. 3 cm
  31. 36 sq cm
  32. 46 cm
  33. 24 cm
  34. 126 sq cm
  35. 26 cm
  36. 6 cm
  37. 34 cm
  38. 12 cm
  39. 42 cm
  40. 40 sq cm

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