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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 114 · 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 10 cm wide. What is its perimeter? (a) 22 cm (b) 34 cm (c) 44 cm (d) 120 cm
  2. 2.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 24 sq cm (c) 32 sq cm (d) 12 sq cm
  3. 3.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 56 sq cm (d) 48 sq cm
  4. 4.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 121 sq cm (c) 44 sq cm (d) 144 sq cm
  5. 5.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 9 cm (b) 10 cm (c) 80 cm (d) 18 cm
  6. 6.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its width? (a) 10 cm (b) 24 cm (c) 5 cm (d) 6 cm
  7. 7.A rectangle has an area of 24 sq cm and a length of 12 cm. What is its width? (a) 12 cm (b) 2 cm (c) 3 cm (d) 4 cm
  8. 8.A rectangle is 16 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 34 cm (c) 32 cm (d) 36 cm
  9. 9.A rectangle has an area of 56 sq cm and a length of 14 cm. What is its width? (a) 5 cm (b) 4 cm (c) 42 cm (d) 8 cm
  10. 10.A rectangle is 17 cm long and 2 cm wide. What is its area? (a) 19 sq cm (b) 38 sq cm (c) 51 sq cm (d) 34 sq cm
  11. 11.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 100 sq cm (c) 20 sq cm (d) 121 sq cm
  12. 12.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
  13. 13.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 45 sq cm (b) 13 sq cm (c) 26 sq cm (d) 36 sq cm
  14. 14.A rectangle is 14 cm long and 4 cm wide. What is its perimeter? (a) 18 cm (b) 36 cm (c) 32 cm (d) 56 cm
  15. 15.A rectangle is 20 cm long and 4 cm wide. What is its area? (a) 48 sq cm (b) 80 sq cm (c) 100 sq cm (d) 24 sq cm
  16. 16.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 28 sq cm (c) 196 sq cm (d) 56 sq cm
  17. 17.A rectangle has an area of 30 sq cm and a length of 15 cm. What is its width? (a) 4 cm (b) 15 cm (c) 3 cm (d) 2 cm
  18. 18.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 24 sq cm (c) 48 sq cm (d) 144 sq cm
  19. 19.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 17 cm (b) 72 cm (c) 34 cm (d) 26 cm
  20. 20.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
  21. 21.A rectangle has an area of 119 sq cm and a length of 17 cm. What is its width? (a) 14 cm (b) 7 cm (c) 8 cm (d) 102 cm
  22. 22.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 88 cm (b) 10 cm (c) 9 cm (d) 18 cm
  23. 23.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 15 sq cm (c) 60 sq cm (d) 50 sq cm
  24. 24.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 49 sq cm (c) 64 sq cm (d) 28 sq cm
  25. 25.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 22 sq cm (c) 30 sq cm (d) 11 sq cm
  26. 26.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 100 sq cm (c) 18 sq cm (d) 36 sq cm
  27. 27.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
  28. 28.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 196 sq cm (d) 169 sq cm
  29. 29.A rectangle is 20 cm long and 6 cm wide. What is its area? (a) 52 sq cm (b) 140 sq cm (c) 120 sq cm (d) 26 sq cm
  30. 30.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 12 cm (b) 11 cm (c) 22 cm (d) 130 cm
  31. 31.A rectangle is 17 cm long and 4 cm wide. What is its perimeter? (a) 68 cm (b) 38 cm (c) 21 cm (d) 42 cm
  32. 32.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 10 sq cm (c) 20 sq cm (d) 36 sq cm
  33. 33.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 16 sq cm (c) 18 sq cm (d) 12 sq cm
  34. 34.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 22 sq cm (b) 28 sq cm (c) 11 sq cm (d) 35 sq cm
  35. 35.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 11 sq cm (b) 32 sq cm (c) 24 sq cm (d) 22 sq cm
  36. 36.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 56 sq cm (b) 42 sq cm (c) 34 sq cm (d) 17 sq cm
  37. 37.A rectangle is 12 cm long and 11 cm wide. What is its area? (a) 144 sq cm (b) 23 sq cm (c) 46 sq cm (d) 132 sq cm
  38. 38.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) 11 cm (d) 135 cm
  39. 39.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 12 cm (b) 11 cm (c) 22 cm (d) 190 cm
  40. 40.A rectangle has an area of 72 sq cm and a length of 18 cm. What is its width? (a) 5 cm (b) 54 cm (c) 8 cm (d) 4 cm

Answer key

  1. 44 cm
  2. 32 sq cm
  3. 48 sq cm
  4. 121 sq cm
  5. 9 cm
  6. 5 cm
  7. 2 cm
  8. 36 cm
  9. 4 cm
  10. 34 sq cm
  11. 100 sq cm
  12. 75 sq cm
  13. 36 sq cm
  14. 36 cm
  15. 80 sq cm
  16. 196 sq cm
  17. 2 cm
  18. 144 sq cm
  19. 34 cm
  20. 225 sq cm
  21. 7 cm
  22. 9 cm
  23. 50 sq cm
  24. 49 sq cm
  25. 30 sq cm
  26. 81 sq cm
  27. 36 sq cm
  28. 169 sq cm
  29. 120 sq cm
  30. 11 cm
  31. 42 cm
  32. 25 sq cm
  33. 12 sq cm
  34. 28 sq cm
  35. 24 sq cm
  36. 42 sq cm
  37. 132 sq cm
  38. 10 cm
  39. 11 cm
  40. 4 cm

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