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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 371 · 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 18 cm long and 6 cm wide. What is its area? (a) 24 sq cm (b) 126 sq cm (c) 48 sq cm (d) 108 sq cm
  2. 2.A rectangle has an area of 160 sq cm and a length of 20 cm. What is its width? (a) 8 cm (b) 16 cm (c) 9 cm (d) 140 cm
  3. 3.A rectangle is 14 cm long and 3 cm wide. What is its perimeter? (a) 17 cm (b) 34 cm (c) 31 cm (d) 42 cm
  4. 4.A rectangle is 15 cm long and 7 cm wide. What is its area? (a) 44 sq cm (b) 105 sq cm (c) 120 sq cm (d) 22 sq cm
  5. 5.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 144 sq cm (c) 24 sq cm (d) 48 sq cm
  6. 6.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 12 sq cm (c) 16 sq cm (d) 8 sq cm
  7. 7.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 27 sq cm (b) 22 sq cm (c) 11 sq cm (d) 18 sq cm
  8. 8.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 190 cm (b) 11 cm (c) 22 cm (d) 12 cm
  9. 9.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 8 cm (c) 14 cm (d) 16 cm
  10. 10.A rectangle has an area of 72 sq cm and a length of 18 cm. What is its width? (a) 8 cm (b) 5 cm (c) 54 cm (d) 4 cm
  11. 11.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 56 sq cm (b) 15 sq cm (c) 30 sq cm (d) 64 sq cm
  12. 12.A rectangle has an area of 38 sq cm and a length of 19 cm. What is its width? (a) 3 cm (b) 4 cm (c) 2 cm (d) 19 cm
  13. 13.A rectangle is 17 cm long and 2 cm wide. What is its area? (a) 38 sq cm (b) 19 sq cm (c) 51 sq cm (d) 34 sq cm
  14. 14.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 11 cm (b) 22 cm (c) 18 cm (d) 20 cm
  15. 15.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 16 sq cm (c) 64 sq cm (d) 32 sq cm
  16. 16.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 48 sq cm (d) 60 sq cm
  17. 17.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
  18. 18.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
  19. 19.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
  20. 20.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 10 cm (b) 117 cm (c) 20 cm (d) 11 cm
  21. 21.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 49 sq cm (c) 14 sq cm (d) 64 sq cm
  22. 22.A rectangle is 14 cm long and 11 cm wide. What is its area? (a) 50 sq cm (b) 168 sq cm (c) 25 sq cm (d) 154 sq cm
  23. 23.A rectangle has an area of 57 sq cm and a length of 19 cm. What is its width? (a) 3 cm (b) 4 cm (c) 6 cm (d) 38 cm
  24. 24.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 10 sq cm (c) 25 sq cm (d) 20 sq cm
  25. 25.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 20 sq cm (c) 30 sq cm (d) 24 sq cm
  26. 26.A rectangle is 11 cm long and 8 cm wide. What is its area? (a) 99 sq cm (b) 88 sq cm (c) 38 sq cm (d) 19 sq cm
  27. 27.A rectangle is 16 cm long and 8 cm wide. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 128 sq cm (d) 144 sq cm
  28. 28.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 18 sq cm (c) 9 sq cm (d) 19 sq cm
  29. 29.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
  30. 30.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 36 sq cm (d) 27 sq cm
  31. 31.A rectangle has an area of 60 sq cm and a length of 12 cm. What is its width? (a) 10 cm (b) 5 cm (c) 48 cm (d) 6 cm
  32. 32.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 225 sq cm (c) 256 sq cm (d) 60 sq cm
  33. 33.A rectangle is 18 cm long and 8 cm wide. What is its perimeter? (a) 26 cm (b) 52 cm (c) 44 cm (d) 144 cm
  34. 34.A rectangle has an area of 96 sq cm and a length of 16 cm. What is its width? (a) 80 cm (b) 12 cm (c) 7 cm (d) 6 cm
  35. 35.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 72 cm (b) 17 cm (c) 26 cm (d) 34 cm
  36. 36.A rectangle is 19 cm long and 7 cm wide. What is its perimeter? (a) 133 cm (b) 26 cm (c) 52 cm (d) 45 cm
  37. 37.A rectangle has an area of 144 sq cm and a length of 16 cm. What is its width? (a) 128 cm (b) 9 cm (c) 18 cm (d) 10 cm
  38. 38.A rectangle is 20 cm long and 4 cm wide. What is its area? (a) 48 sq cm (b) 100 sq cm (c) 24 sq cm (d) 80 sq cm
  39. 39.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 17 sq cm (b) 72 sq cm (c) 81 sq cm (d) 34 sq cm
  40. 40.A rectangle is 18 cm long and 7 cm wide. What is its area? (a) 25 sq cm (b) 50 sq cm (c) 144 sq cm (d) 126 sq cm

Answer key

  1. 108 sq cm
  2. 8 cm
  3. 34 cm
  4. 105 sq cm
  5. 144 sq cm
  6. 12 sq cm
  7. 18 sq cm
  8. 11 cm
  9. 16 cm
  10. 4 cm
  11. 56 sq cm
  12. 2 cm
  13. 34 sq cm
  14. 22 cm
  15. 64 sq cm
  16. 48 sq cm
  17. 24 sq cm
  18. 16 sq cm
  19. 100 sq cm
  20. 10 cm
  21. 49 sq cm
  22. 154 sq cm
  23. 3 cm
  24. 25 sq cm
  25. 20 sq cm
  26. 88 sq cm
  27. 128 sq cm
  28. 18 sq cm
  29. 32 sq cm
  30. 27 sq cm
  31. 5 cm
  32. 225 sq cm
  33. 52 cm
  34. 6 cm
  35. 34 cm
  36. 52 cm
  37. 9 cm
  38. 80 sq cm
  39. 72 sq cm
  40. 126 sq cm

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