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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 132 · 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 6 cm long and 3 cm wide. What is its perimeter? (a) 9 cm (b) 19 cm (c) 15 cm (d) 18 cm
  2. 2.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 196 sq cm (c) 26 sq cm (d) 52 sq cm
  3. 3.A rectangle has an area of 18 sq cm and a length of 9 cm. What is its width? (a) 2 cm (b) 4 cm (c) 9 cm (d) 3 cm
  4. 4.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 27 sq cm (d) 12 sq cm
  5. 5.A rectangle is 18 cm long and 11 cm wide. What is its area? (a) 216 sq cm (b) 198 sq cm (c) 58 sq cm (d) 29 sq cm
  6. 6.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
  7. 7.A rectangle is 15 cm long and 4 cm wide. What is its area? (a) 19 sq cm (b) 38 sq cm (c) 60 sq cm (d) 75 sq cm
  8. 8.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 44 sq cm (b) 90 sq cm (c) 22 sq cm (d) 72 sq cm
  9. 9.A rectangle has an area of 55 sq cm and a length of 11 cm. What is its width? (a) 10 cm (b) 5 cm (c) 44 cm (d) 6 cm
  10. 10.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 13 cm (b) 165 cm (c) 24 cm (d) 12 cm
  11. 11.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 25 cm (b) 32 cm (c) 16 cm (d) 63 cm
  12. 12.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 54 sq cm (b) 45 sq cm (c) 14 sq cm (d) 28 sq cm
  13. 13.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 64 sq cm (d) 81 sq cm
  14. 14.A rectangle has an area of 72 sq cm and a length of 18 cm. What is its width? (a) 8 cm (b) 4 cm (c) 54 cm (d) 5 cm
  15. 15.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 54 sq cm (b) 63 sq cm (c) 15 sq cm (d) 30 sq cm
  16. 16.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 170 sq cm (b) 54 sq cm (c) 187 sq cm (d) 27 sq cm
  17. 17.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 8 cm (b) 14 cm (c) 7 cm (d) 48 cm
  18. 18.A rectangle is 18 cm long and 2 cm wide. What is its perimeter? (a) 36 cm (b) 38 cm (c) 20 cm (d) 40 cm
  19. 19.A rectangle is 15 cm long and 12 cm wide. What is its area? (a) 180 sq cm (b) 195 sq cm (c) 27 sq cm (d) 54 sq cm
  20. 20.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 78 sq cm (d) 65 sq cm
  21. 21.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 56 cm (b) 23 cm (c) 15 cm (d) 30 cm
  22. 22.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 22 cm (b) 11 cm (c) 17 cm (d) 30 cm
  23. 23.A rectangle is 18 cm long and 3 cm wide. What is its area? (a) 54 sq cm (b) 42 sq cm (c) 72 sq cm (d) 21 sq cm
  24. 24.A rectangle is 11 cm long and 9 cm wide. What is its perimeter? (a) 20 cm (b) 99 cm (c) 31 cm (d) 40 cm
  25. 25.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 49 sq cm (c) 28 sq cm (d) 64 sq cm
  26. 26.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 9 sq cm (b) 24 sq cm (c) 19 sq cm (d) 18 sq cm
  27. 27.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
  28. 28.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 22 cm (b) 24 cm (c) 19 cm (d) 11 cm
  29. 29.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 36 sq cm (b) 24 sq cm (c) 14 sq cm (d) 28 sq cm
  30. 30.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 120 sq cm (d) 132 sq cm
  31. 31.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 28 cm (b) 48 cm (c) 22 cm (d) 14 cm
  32. 32.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 17 sq cm (b) 81 sq cm (c) 72 sq cm (d) 34 sq cm
  33. 33.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 10 cm (c) 24 cm (d) 16 cm
  34. 34.A rectangle is 12 cm long and 8 cm wide. What is its perimeter? (a) 96 cm (b) 20 cm (c) 32 cm (d) 40 cm
  35. 35.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 48 sq cm (b) 60 sq cm (c) 32 sq cm (d) 16 sq cm
  36. 36.A rectangle is 12 cm long and 11 cm wide. What is its area? (a) 23 sq cm (b) 132 sq cm (c) 144 sq cm (d) 46 sq cm
  37. 37.A rectangle has an area of 63 sq cm and a length of 9 cm. What is its width? (a) 54 cm (b) 8 cm (c) 14 cm (d) 7 cm
  38. 38.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 99 cm (b) 20 cm (c) 10 cm (d) 11 cm
  39. 39.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
  40. 40.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 12 cm (b) 20 cm (c) 24 cm (d) 32 cm

Answer key

  1. 18 cm
  2. 169 sq cm
  3. 2 cm
  4. 27 sq cm
  5. 198 sq cm
  6. 25 sq cm
  7. 60 sq cm
  8. 72 sq cm
  9. 5 cm
  10. 12 cm
  11. 32 cm
  12. 45 sq cm
  13. 64 sq cm
  14. 4 cm
  15. 54 sq cm
  16. 170 sq cm
  17. 7 cm
  18. 40 cm
  19. 180 sq cm
  20. 65 sq cm
  21. 30 cm
  22. 22 cm
  23. 54 sq cm
  24. 40 cm
  25. 49 sq cm
  26. 18 sq cm
  27. 100 sq cm
  28. 22 cm
  29. 24 sq cm
  30. 120 sq cm
  31. 28 cm
  32. 72 sq cm
  33. 20 cm
  34. 40 cm
  35. 48 sq cm
  36. 132 sq cm
  37. 7 cm
  38. 10 cm
  39. 225 sq cm
  40. 24 cm

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