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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 36 · 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 10 cm wide. What is its area? (a) 154 sq cm (b) 24 sq cm (c) 140 sq cm (d) 48 sq cm
  2. 2.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 22 cm (c) 24 cm (d) 11 cm
  3. 3.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 256 sq cm (c) 60 sq cm (d) 225 sq cm
  4. 4.A rectangle is 19 cm long and 3 cm wide. What is its perimeter? (a) 44 cm (b) 22 cm (c) 41 cm (d) 57 cm
  5. 5.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 40 sq cm (b) 99 sq cm (c) 110 sq cm (d) 20 sq cm
  6. 6.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 20 sq cm (c) 40 sq cm (d) 100 sq cm
  7. 7.A rectangle is 20 cm long and 12 cm wide. What is its area? (a) 240 sq cm (b) 260 sq cm (c) 64 sq cm (d) 32 sq cm
  8. 8.A rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 3 cm (b) 6 cm (c) 4 cm (d) 8 cm
  9. 9.A rectangle is 11 cm long and 10 cm wide. What is its perimeter? (a) 21 cm (b) 42 cm (c) 110 cm (d) 32 cm
  10. 10.A rectangle has an area of 80 sq cm and a length of 20 cm. What is its width? (a) 4 cm (b) 60 cm (c) 5 cm (d) 8 cm
  11. 11.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 12 sq cm (c) 8 sq cm (d) 18 sq cm
  12. 12.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 49 sq cm (c) 28 sq cm (d) 14 sq cm
  13. 13.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 20 cm (b) 10 cm (c) 11 cm (d) 153 cm
  14. 14.A rectangle is 16 cm long and 6 cm wide. What is its perimeter? (a) 96 cm (b) 44 cm (c) 38 cm (d) 22 cm
  15. 15.A rectangle has an area of 18 sq cm and a length of 9 cm. What is its width? (a) 2 cm (b) 9 cm (c) 3 cm (d) 4 cm
  16. 16.A rectangle is 11 cm long and 4 cm wide. What is its perimeter? (a) 26 cm (b) 44 cm (c) 15 cm (d) 30 cm
  17. 17.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 110 sq cm (b) 42 sq cm (c) 21 sq cm (d) 121 sq cm
  18. 18.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 24 sq cm (c) 12 sq cm (d) 36 sq cm
  19. 19.A rectangle is 18 cm long and 12 cm wide. What is its area? (a) 234 sq cm (b) 60 sq cm (c) 30 sq cm (d) 216 sq cm
  20. 20.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 44 sq cm (c) 121 sq cm (d) 22 sq cm
  21. 21.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 19 sq cm (c) 18 sq cm (d) 9 sq cm
  22. 22.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 27 sq cm (c) 36 sq cm (d) 12 sq cm
  23. 23.A rectangle has an area of 45 sq cm and a length of 9 cm. What is its width? (a) 5 cm (b) 6 cm (c) 10 cm (d) 36 cm
  24. 24.A rectangle is 13 cm long and 6 cm wide. What is its perimeter? (a) 78 cm (b) 32 cm (c) 19 cm (d) 38 cm
  25. 25.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 25 sq cm (c) 20 sq cm (d) 36 sq cm
  26. 26.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 225 sq cm (c) 196 sq cm (d) 56 sq cm
  27. 27.A rectangle is 14 cm long and 3 cm wide. What is its perimeter? (a) 31 cm (b) 34 cm (c) 17 cm (d) 42 cm
  28. 28.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 90 sq cm (b) 23 sq cm (c) 46 sq cm (d) 108 sq cm
  29. 29.A rectangle is 16 cm long and 9 cm wide. What is its area? (a) 160 sq cm (b) 144 sq cm (c) 25 sq cm (d) 50 sq cm
  30. 30.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 50 sq cm (b) 14 sq cm (c) 28 sq cm (d) 40 sq cm
  31. 31.A rectangle is 18 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 54 sq cm (c) 40 sq cm (d) 36 sq cm
  32. 32.A rectangle is 12 cm long and 8 cm wide. What is its perimeter? (a) 20 cm (b) 40 cm (c) 96 cm (d) 32 cm
  33. 33.A rectangle has an area of 24 sq cm and a length of 12 cm. What is its width? (a) 2 cm (b) 3 cm (c) 12 cm (d) 4 cm
  34. 34.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 72 sq cm (b) 90 sq cm (c) 22 sq cm (d) 44 sq cm
  35. 35.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 10 sq cm (b) 24 sq cm (c) 20 sq cm (d) 16 sq cm
  36. 36.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 65 sq cm (b) 78 sq cm (c) 36 sq cm (d) 18 sq cm
  37. 37.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 27 sq cm (b) 18 sq cm (c) 11 sq cm (d) 22 sq cm
  38. 38.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 13 cm (b) 24 cm (c) 12 cm (d) 143 cm
  39. 39.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
  40. 40.A rectangle is 15 cm long and 5 cm wide. What is its area? (a) 40 sq cm (b) 75 sq cm (c) 20 sq cm (d) 90 sq cm

Answer key

  1. 140 sq cm
  2. 22 cm
  3. 225 sq cm
  4. 44 cm
  5. 99 sq cm
  6. 100 sq cm
  7. 240 sq cm
  8. 3 cm
  9. 42 cm
  10. 4 cm
  11. 12 sq cm
  12. 49 sq cm
  13. 10 cm
  14. 44 cm
  15. 2 cm
  16. 30 cm
  17. 110 sq cm
  18. 36 sq cm
  19. 216 sq cm
  20. 121 sq cm
  21. 18 sq cm
  22. 27 sq cm
  23. 5 cm
  24. 38 cm
  25. 25 sq cm
  26. 196 sq cm
  27. 34 cm
  28. 90 sq cm
  29. 144 sq cm
  30. 40 sq cm
  31. 36 sq cm
  32. 40 cm
  33. 2 cm
  34. 72 sq cm
  35. 16 sq cm
  36. 65 sq cm
  37. 18 sq cm
  38. 12 cm
  39. 30 cm
  40. 75 sq cm

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