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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 586 · 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 14 cm long and 8 cm wide. What is its perimeter? (a) 22 cm (b) 36 cm (c) 44 cm (d) 112 cm
  2. 2.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 11 cm (b) 22 cm (c) 30 cm (d) 17 cm
  3. 3.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 65 sq cm (c) 78 sq cm (d) 18 sq cm
  4. 4.A rectangle is 15 cm long and 12 cm wide. What is its area? (a) 27 sq cm (b) 180 sq cm (c) 54 sq cm (d) 195 sq cm
  5. 5.A rectangle has an area of 72 sq cm and a length of 12 cm. What is its width? (a) 6 cm (b) 7 cm (c) 12 cm (d) 60 cm
  6. 6.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 22 sq cm (c) 11 sq cm (d) 36 sq cm
  7. 7.A rectangle has an area of 48 sq cm and a length of 16 cm. What is its width? (a) 6 cm (b) 4 cm (c) 3 cm (d) 32 cm
  8. 8.A rectangle is 15 cm long and 7 cm wide. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 120 sq cm (d) 105 sq cm
  9. 9.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 8 cm (b) 77 cm (c) 9 cm (d) 16 cm
  10. 10.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 56 sq cm (c) 28 sq cm (d) 225 sq cm
  11. 11.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 99 sq cm (b) 110 sq cm (c) 20 sq cm (d) 40 sq cm
  12. 12.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
  13. 13.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 48 sq cm (c) 169 sq cm (d) 24 sq cm
  14. 14.A rectangle is 20 cm long and 6 cm wide. What is its perimeter? (a) 26 cm (b) 120 cm (c) 52 cm (d) 46 cm
  15. 15.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 100 sq cm (c) 36 sq cm (d) 81 sq cm
  16. 16.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 36 cm (b) 22 cm (c) 26 cm (d) 13 cm
  17. 17.A rectangle is 12 cm long and 2 cm wide. What is its perimeter? (a) 28 cm (b) 26 cm (c) 24 cm (d) 14 cm
  18. 18.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 10 cm (b) 20 cm (c) 135 cm (d) 11 cm
  19. 19.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 121 sq cm (c) 144 sq cm (d) 44 sq cm
  20. 20.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 14 sq cm (c) 21 sq cm (d) 9 sq cm
  21. 21.A rectangle is 20 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 80 cm (c) 48 cm (d) 44 cm
  22. 22.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 12 cm (b) 27 cm (c) 21 cm (d) 24 cm
  23. 23.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 24 cm (b) 13 cm (c) 187 cm (d) 12 cm
  24. 24.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 190 cm (b) 11 cm (c) 22 cm (d) 12 cm
  25. 25.A rectangle is 15 cm long and 6 cm wide. What is its area? (a) 21 sq cm (b) 90 sq cm (c) 105 sq cm (d) 42 sq cm
  26. 26.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 36 sq cm (c) 12 sq cm (d) 24 sq cm
  27. 27.A rectangle has an area of 96 sq cm and a length of 16 cm. What is its width? (a) 6 cm (b) 80 cm (c) 7 cm (d) 12 cm
  28. 28.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 36 sq cm (c) 20 sq cm (d) 25 sq cm
  29. 29.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
  30. 30.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 49 sq cm (c) 14 sq cm (d) 28 sq cm
  31. 31.A rectangle is 18 cm long and 12 cm wide. What is its area? (a) 234 sq cm (b) 216 sq cm (c) 30 sq cm (d) 60 sq cm
  32. 32.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 13 sq cm (b) 45 sq cm (c) 36 sq cm (d) 26 sq cm
  33. 33.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 54 cm (b) 30 cm (c) 24 cm (d) 15 cm
  34. 34.A rectangle is 19 cm long and 9 cm wide. What is its perimeter? (a) 171 cm (b) 28 cm (c) 47 cm (d) 56 cm
  35. 35.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 32 cm (c) 48 cm (d) 16 cm
  36. 36.A rectangle has an area of 63 sq cm and a length of 9 cm. What is its width? (a) 14 cm (b) 8 cm (c) 54 cm (d) 7 cm
  37. 37.A rectangle is 15 cm long and 4 cm wide. What is its area? (a) 38 sq cm (b) 19 sq cm (c) 75 sq cm (d) 60 sq cm
  38. 38.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
  39. 39.A rectangle has an area of 90 sq cm and a length of 18 cm. What is its width? (a) 10 cm (b) 5 cm (c) 72 cm (d) 6 cm
  40. 40.A rectangle is 17 cm long and 8 cm wide. What is its area? (a) 25 sq cm (b) 153 sq cm (c) 50 sq cm (d) 136 sq cm

Answer key

  1. 44 cm
  2. 22 cm
  3. 65 sq cm
  4. 180 sq cm
  5. 6 cm
  6. 30 sq cm
  7. 3 cm
  8. 105 sq cm
  9. 8 cm
  10. 196 sq cm
  11. 99 sq cm
  12. 64 sq cm
  13. 144 sq cm
  14. 52 cm
  15. 81 sq cm
  16. 26 cm
  17. 28 cm
  18. 10 cm
  19. 121 sq cm
  20. 14 sq cm
  21. 48 cm
  22. 24 cm
  23. 12 cm
  24. 11 cm
  25. 90 sq cm
  26. 36 sq cm
  27. 6 cm
  28. 25 sq cm
  29. 225 sq cm
  30. 49 sq cm
  31. 216 sq cm
  32. 36 sq cm
  33. 30 cm
  34. 56 cm
  35. 32 cm
  36. 7 cm
  37. 60 sq cm
  38. 24 sq cm
  39. 5 cm
  40. 136 sq cm

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