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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 467 · 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 7 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 17 cm (c) 10 cm (d) 20 cm
  2. 2.A rectangle has an area of 24 sq cm and a length of 12 cm. What is its width? (a) 12 cm (b) 4 cm (c) 3 cm (d) 2 cm
  3. 3.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 60 sq cm (b) 16 sq cm (c) 70 sq cm (d) 32 sq cm
  4. 4.A rectangle has an area of 140 sq cm and a length of 20 cm. What is its width? (a) 120 cm (b) 7 cm (c) 14 cm (d) 8 cm
  5. 5.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 64 sq cm (c) 16 sq cm (d) 81 sq cm
  6. 6.A rectangle is 15 cm long and 4 cm wide. What is its area? (a) 60 sq cm (b) 75 sq cm (c) 19 sq cm (d) 38 sq cm
  7. 7.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 8 cm (b) 60 cm (c) 7 cm (d) 14 cm
  8. 8.A rectangle is 19 cm long and 9 cm wide. What is its area? (a) 190 sq cm (b) 28 sq cm (c) 171 sq cm (d) 56 sq cm
  9. 9.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 46 sq cm (b) 23 sq cm (c) 95 sq cm (d) 76 sq cm
  10. 10.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 121 sq cm (c) 22 sq cm (d) 144 sq cm
  11. 11.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 20 sq cm (c) 25 sq cm (d) 10 sq cm
  12. 12.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 121 sq cm (d) 100 sq cm
  13. 13.A rectangle has an area of 60 sq cm and a length of 20 cm. What is its width? (a) 3 cm (b) 4 cm (c) 6 cm (d) 40 cm
  14. 14.A rectangle has an area of 44 sq cm and a length of 11 cm. What is its width? (a) 33 cm (b) 5 cm (c) 8 cm (d) 4 cm
  15. 15.A rectangle is 15 cm long and 2 cm wide. What is its area? (a) 30 sq cm (b) 34 sq cm (c) 17 sq cm (d) 45 sq cm
  16. 16.A rectangle is 18 cm long and 4 cm wide. What is its perimeter? (a) 40 cm (b) 22 cm (c) 72 cm (d) 44 cm
  17. 17.A rectangle is 14 cm long and 2 cm wide. What is its perimeter? (a) 32 cm (b) 16 cm (c) 28 cm (d) 30 cm
  18. 18.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 81 sq cm (c) 36 sq cm (d) 100 sq cm
  19. 19.A rectangle has an area of 100 sq cm and a length of 20 cm. What is its width? (a) 80 cm (b) 6 cm (c) 5 cm (d) 10 cm
  20. 20.A rectangle is 20 cm long and 7 cm wide. What is its area? (a) 27 sq cm (b) 160 sq cm (c) 54 sq cm (d) 140 sq cm
  21. 21.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 143 cm (b) 24 cm (c) 12 cm (d) 13 cm
  22. 22.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
  23. 23.A rectangle has an area of 72 sq cm and a length of 12 cm. What is its width? (a) 60 cm (b) 12 cm (c) 7 cm (d) 6 cm
  24. 24.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 49 sq cm (c) 12 sq cm (d) 36 sq cm
  25. 25.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 11 sq cm (b) 22 sq cm (c) 32 sq cm (d) 24 sq cm
  26. 26.A rectangle is 10 cm long and 7 cm wide. What is its perimeter? (a) 27 cm (b) 70 cm (c) 17 cm (d) 34 cm
  27. 27.A rectangle is 20 cm long and 10 cm wide. What is its perimeter? (a) 30 cm (b) 60 cm (c) 50 cm (d) 200 cm
  28. 28.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 11 sq cm (c) 36 sq cm (d) 30 sq cm
  29. 29.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 225 sq cm (c) 28 sq cm (d) 56 sq cm
  30. 30.A rectangle has an area of 24 sq cm and a length of 6 cm. What is its width? (a) 8 cm (b) 4 cm (c) 5 cm (d) 18 cm
  31. 31.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 22 cm (c) 11 cm (d) 18 cm
  32. 32.A rectangle is 15 cm long and 7 cm wide. What is its area? (a) 120 sq cm (b) 22 sq cm (c) 44 sq cm (d) 105 sq cm
  33. 33.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 10 sq cm (b) 30 sq cm (c) 20 sq cm (d) 24 sq cm
  34. 34.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 256 sq cm (d) 225 sq cm
  35. 35.A rectangle has an area of 14 sq cm and a length of 7 cm. What is its width? (a) 3 cm (b) 7 cm (c) 2 cm (d) 4 cm
  36. 36.A rectangle is 20 cm long and 6 cm wide. What is its perimeter? (a) 46 cm (b) 52 cm (c) 26 cm (d) 120 cm
  37. 37.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 80 cm (b) 36 cm (c) 18 cm (d) 28 cm
  38. 38.A rectangle is 12 cm long and 5 cm wide. What is its area? (a) 60 sq cm (b) 17 sq cm (c) 72 sq cm (d) 34 sq cm
  39. 39.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 68 sq cm (b) 20 sq cm (c) 51 sq cm (d) 40 sq cm
  40. 40.A rectangle has an area of 128 sq cm and a length of 16 cm. What is its width? (a) 112 cm (b) 8 cm (c) 9 cm (d) 16 cm

Answer key

  1. 20 cm
  2. 2 cm
  3. 60 sq cm
  4. 7 cm
  5. 64 sq cm
  6. 60 sq cm
  7. 7 cm
  8. 171 sq cm
  9. 76 sq cm
  10. 121 sq cm
  11. 25 sq cm
  12. 100 sq cm
  13. 3 cm
  14. 4 cm
  15. 30 sq cm
  16. 44 cm
  17. 32 cm
  18. 81 sq cm
  19. 5 cm
  20. 140 sq cm
  21. 12 cm
  22. 10 cm
  23. 6 cm
  24. 36 sq cm
  25. 24 sq cm
  26. 34 cm
  27. 60 cm
  28. 30 sq cm
  29. 196 sq cm
  30. 4 cm
  31. 22 cm
  32. 105 sq cm
  33. 24 sq cm
  34. 225 sq cm
  35. 2 cm
  36. 52 cm
  37. 36 cm
  38. 60 sq cm
  39. 51 sq cm
  40. 8 cm

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