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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 582 · 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 12 cm long and 5 cm wide. What is its area? (a) 72 sq cm (b) 34 sq cm (c) 17 sq cm (d) 60 sq cm
  2. 2.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 40 sq cm (c) 20 sq cm (d) 100 sq cm
  3. 3.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 169 sq cm (c) 48 sq cm (d) 144 sq cm
  4. 4.A rectangle is 18 cm long and 10 cm wide. What is its perimeter? (a) 46 cm (b) 56 cm (c) 180 cm (d) 28 cm
  5. 5.A rectangle has an area of 45 sq cm and a length of 15 cm. What is its width? (a) 3 cm (b) 6 cm (c) 30 cm (d) 4 cm
  6. 6.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 16 cm (b) 32 cm (c) 60 cm (d) 26 cm
  7. 7.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 25 sq cm (c) 36 sq cm (d) 10 sq cm
  8. 8.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 60 sq cm (c) 30 sq cm (d) 225 sq cm
  9. 9.A rectangle has an area of 60 sq cm and a length of 15 cm. What is its width? (a) 4 cm (b) 5 cm (c) 45 cm (d) 8 cm
  10. 10.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its width? (a) 35 cm (b) 12 cm (c) 7 cm (d) 6 cm
  11. 11.A rectangle is 18 cm long and 6 cm wide. What is its area? (a) 48 sq cm (b) 126 sq cm (c) 108 sq cm (d) 24 sq cm
  12. 12.A rectangle is 19 cm long and 3 cm wide. What is its perimeter? (a) 57 cm (b) 44 cm (c) 22 cm (d) 41 cm
  13. 13.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 225 sq cm (c) 56 sq cm (d) 196 sq cm
  14. 14.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 11 cm (c) 20 cm (d) 22 cm
  15. 15.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 18 cm (b) 15 cm (c) 19 cm (d) 9 cm
  16. 16.A rectangle is 17 cm long and 2 cm wide. What is its area? (a) 38 sq cm (b) 51 sq cm (c) 34 sq cm (d) 19 sq cm
  17. 17.A rectangle is 16 cm long and 11 cm wide. What is its perimeter? (a) 176 cm (b) 54 cm (c) 43 cm (d) 27 cm
  18. 18.A rectangle has an area of 32 sq cm and a length of 8 cm. What is its width? (a) 24 cm (b) 5 cm (c) 4 cm (d) 8 cm
  19. 19.A rectangle is 20 cm long and 8 cm wide. What is its perimeter? (a) 28 cm (b) 48 cm (c) 56 cm (d) 160 cm
  20. 20.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 48 sq cm (b) 56 sq cm (c) 14 sq cm (d) 28 sq cm
  21. 21.A rectangle has an area of 160 sq cm and a length of 20 cm. What is its width? (a) 140 cm (b) 9 cm (c) 16 cm (d) 8 cm
  22. 22.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 10 sq cm (c) 16 sq cm (d) 20 sq cm
  23. 23.A rectangle is 13 cm long and 11 cm wide. What is its perimeter? (a) 24 cm (b) 48 cm (c) 37 cm (d) 143 cm
  24. 24.A rectangle is 15 cm long and 12 cm wide. What is its area? (a) 27 sq cm (b) 195 sq cm (c) 54 sq cm (d) 180 sq cm
  25. 25.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 54 sq cm (b) 170 sq cm (c) 187 sq cm (d) 27 sq cm
  26. 26.A rectangle is 18 cm long and 12 cm wide. What is its area? (a) 30 sq cm (b) 216 sq cm (c) 60 sq cm (d) 234 sq cm
  27. 27.A rectangle is 20 cm long and 5 cm wide. What is its perimeter? (a) 100 cm (b) 25 cm (c) 45 cm (d) 50 cm
  28. 28.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 20 cm (b) 10 cm (c) 99 cm (d) 11 cm
  29. 29.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 14 sq cm (b) 54 sq cm (c) 45 sq cm (d) 28 sq cm
  30. 30.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 36 sq cm (b) 26 sq cm (c) 13 sq cm (d) 45 sq cm
  31. 31.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 13 cm (b) 26 cm (c) 22 cm (d) 36 cm
  32. 32.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 8 cm (b) 12 cm (c) 16 cm (d) 14 cm
  33. 33.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 132 sq cm (b) 22 sq cm (c) 44 sq cm (d) 120 sq cm
  34. 34.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 49 sq cm (d) 36 sq cm
  35. 35.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
  36. 36.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 10 cm (b) 21 cm (c) 17 cm (d) 20 cm
  37. 37.A rectangle is 15 cm long and 9 cm wide. What is its perimeter? (a) 135 cm (b) 48 cm (c) 39 cm (d) 24 cm
  38. 38.A rectangle is 15 cm long and 7 cm wide. What is its perimeter? (a) 105 cm (b) 44 cm (c) 37 cm (d) 22 cm
  39. 39.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its width? (a) 14 cm (b) 7 cm (c) 8 cm (d) 108 cm
  40. 40.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 196 sq cm (c) 52 sq cm (d) 169 sq cm

Answer key

  1. 60 sq cm
  2. 100 sq cm
  3. 144 sq cm
  4. 56 cm
  5. 3 cm
  6. 32 cm
  7. 25 sq cm
  8. 225 sq cm
  9. 4 cm
  10. 6 cm
  11. 108 sq cm
  12. 44 cm
  13. 196 sq cm
  14. 22 cm
  15. 18 cm
  16. 34 sq cm
  17. 54 cm
  18. 4 cm
  19. 56 cm
  20. 48 sq cm
  21. 8 cm
  22. 16 sq cm
  23. 48 cm
  24. 180 sq cm
  25. 170 sq cm
  26. 216 sq cm
  27. 50 cm
  28. 10 cm
  29. 45 sq cm
  30. 36 sq cm
  31. 26 cm
  32. 16 cm
  33. 120 sq cm
  34. 36 sq cm
  35. 64 sq cm
  36. 20 cm
  37. 48 cm
  38. 44 cm
  39. 7 cm
  40. 169 sq cm

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