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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 230 · 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 has an area of 21 sq cm and a length of 7 cm. What is its width? (a) 4 cm (b) 6 cm (c) 14 cm (d) 3 cm
  2. 2.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
  3. 3.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 121 sq cm (c) 20 sq cm (d) 40 sq cm
  4. 4.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 20 sq cm (c) 30 sq cm (d) 12 sq cm
  5. 5.A rectangle is 13 cm long and 10 cm wide. What is its perimeter? (a) 130 cm (b) 46 cm (c) 36 cm (d) 23 cm
  6. 6.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 12 cm (b) 3 cm (c) 6 cm (d) 4 cm
  7. 7.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
  8. 8.A rectangle is 15 cm long and 2 cm wide. What is its perimeter? (a) 17 cm (b) 30 cm (c) 34 cm (d) 32 cm
  9. 9.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
  10. 10.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 21 sq cm (b) 10 sq cm (c) 20 sq cm (d) 28 sq cm
  11. 11.A rectangle has an area of 126 sq cm and a length of 14 cm. What is its width? (a) 9 cm (b) 112 cm (c) 18 cm (d) 10 cm
  12. 12.A rectangle is 20 cm long and 12 cm wide. What is its area? (a) 32 sq cm (b) 240 sq cm (c) 260 sq cm (d) 64 sq cm
  13. 13.A rectangle is 20 cm long and 3 cm wide. What is its area? (a) 80 sq cm (b) 60 sq cm (c) 46 sq cm (d) 23 sq cm
  14. 14.A rectangle is 13 cm long and 4 cm wide. What is its perimeter? (a) 52 cm (b) 30 cm (c) 34 cm (d) 17 cm
  15. 15.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
  16. 16.A rectangle has an area of 70 sq cm and a length of 14 cm. What is its width? (a) 5 cm (b) 6 cm (c) 10 cm (d) 56 cm
  17. 17.A rectangle is 15 cm long and 4 cm wide. What is its perimeter? (a) 19 cm (b) 60 cm (c) 34 cm (d) 38 cm
  18. 18.A rectangle has an area of 76 sq cm and a length of 19 cm. What is its width? (a) 8 cm (b) 5 cm (c) 57 cm (d) 4 cm
  19. 19.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 32 sq cm (b) 60 sq cm (c) 70 sq cm (d) 16 sq cm
  20. 20.A rectangle is 13 cm long and 9 cm wide. What is its perimeter? (a) 35 cm (b) 22 cm (c) 44 cm (d) 117 cm
  21. 21.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 14 cm (b) 48 cm (c) 8 cm (d) 7 cm
  22. 22.A rectangle is 15 cm long and 9 cm wide. What is its perimeter? (a) 24 cm (b) 135 cm (c) 39 cm (d) 48 cm
  23. 23.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 8 cm (b) 16 cm (c) 12 cm (d) 14 cm
  24. 24.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 20 cm (b) 42 cm (c) 13 cm (d) 26 cm
  25. 25.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 24 sq cm (d) 30 sq cm
  26. 26.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 20 cm (b) 135 cm (c) 10 cm (d) 11 cm
  27. 27.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 20 cm (c) 16 cm (d) 10 cm
  28. 28.A rectangle is 11 cm long and 4 cm wide. What is its area? (a) 55 sq cm (b) 44 sq cm (c) 30 sq cm (d) 15 sq cm
  29. 29.A rectangle is 16 cm long and 3 cm wide. What is its perimeter? (a) 35 cm (b) 19 cm (c) 48 cm (d) 38 cm
  30. 30.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 132 sq cm (d) 120 sq cm
  31. 31.A rectangle is 14 cm long and 5 cm wide. What is its area? (a) 84 sq cm (b) 38 sq cm (c) 19 sq cm (d) 70 sq cm
  32. 32.A rectangle is 12 cm long and 5 cm wide. What is its perimeter? (a) 17 cm (b) 29 cm (c) 34 cm (d) 60 cm
  33. 33.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
  34. 34.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 200 cm (b) 11 cm (c) 22 cm (d) 12 cm
  35. 35.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 12 cm (b) 130 cm (c) 22 cm (d) 11 cm
  36. 36.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 80 cm (b) 18 cm (c) 9 cm (d) 10 cm
  37. 37.A rectangle is 20 cm long and 12 cm wide. What is its perimeter? (a) 64 cm (b) 52 cm (c) 240 cm (d) 32 cm
  38. 38.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 10 cm (b) 24 cm (c) 20 cm (d) 16 cm
  39. 39.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 10 cm (b) 99 cm (c) 11 cm (d) 20 cm
  40. 40.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 17 cm (b) 21 cm (c) 20 cm (d) 10 cm

Answer key

  1. 3 cm
  2. 42 cm
  3. 100 sq cm
  4. 20 sq cm
  5. 46 cm
  6. 3 cm
  7. 36 sq cm
  8. 34 cm
  9. 196 sq cm
  10. 21 sq cm
  11. 9 cm
  12. 240 sq cm
  13. 60 sq cm
  14. 34 cm
  15. 225 sq cm
  16. 5 cm
  17. 38 cm
  18. 4 cm
  19. 60 sq cm
  20. 44 cm
  21. 7 cm
  22. 48 cm
  23. 16 cm
  24. 26 cm
  25. 24 sq cm
  26. 10 cm
  27. 20 cm
  28. 44 sq cm
  29. 38 cm
  30. 120 sq cm
  31. 70 sq cm
  32. 34 cm
  33. 64 sq cm
  34. 11 cm
  35. 11 cm
  36. 9 cm
  37. 64 cm
  38. 20 cm
  39. 10 cm
  40. 20 cm

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