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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 449 · 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 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
  2. 2.A rectangle is 20 cm long and 12 cm wide. What is its area? (a) 64 sq cm (b) 32 sq cm (c) 240 sq cm (d) 260 sq cm
  3. 3.A rectangle is 19 cm long and 2 cm wide. What is its perimeter? (a) 42 cm (b) 40 cm (c) 21 cm (d) 38 cm
  4. 4.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 48 cm (b) 22 cm (c) 14 cm (d) 28 cm
  5. 5.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 21 sq cm (b) 85 sq cm (c) 68 sq cm (d) 42 sq cm
  6. 6.A rectangle is 13 cm long and 10 cm wide. What is its perimeter? (a) 130 cm (b) 46 cm (c) 23 cm (d) 36 cm
  7. 7.A rectangle has an area of 48 sq cm and a length of 16 cm. What is its width? (a) 32 cm (b) 6 cm (c) 3 cm (d) 4 cm
  8. 8.A rectangle has an area of 60 sq cm and a length of 15 cm. What is its width? (a) 45 cm (b) 5 cm (c) 4 cm (d) 8 cm
  9. 9.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 144 sq cm (d) 169 sq cm
  10. 10.A rectangle is 18 cm long and 10 cm wide. What is its area? (a) 28 sq cm (b) 180 sq cm (c) 198 sq cm (d) 56 sq cm
  11. 11.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
  12. 12.A rectangle is 11 cm long and 4 cm wide. What is its perimeter? (a) 30 cm (b) 26 cm (c) 15 cm (d) 44 cm
  13. 13.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 80 sq cm (d) 64 sq cm
  14. 14.A rectangle is 12 cm long and 8 cm wide. What is its perimeter? (a) 40 cm (b) 32 cm (c) 96 cm (d) 20 cm
  15. 15.A rectangle has an area of 90 sq cm and a length of 15 cm. What is its width? (a) 7 cm (b) 75 cm (c) 12 cm (d) 6 cm
  16. 16.A rectangle has an area of 65 sq cm and a length of 13 cm. What is its width? (a) 10 cm (b) 5 cm (c) 52 cm (d) 6 cm
  17. 17.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
  18. 18.A rectangle is 15 cm long and 11 cm wide. What is its perimeter? (a) 52 cm (b) 41 cm (c) 26 cm (d) 165 cm
  19. 19.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 3 cm (b) 16 cm (c) 4 cm (d) 6 cm
  20. 20.A rectangle has an area of 102 sq cm and a length of 17 cm. What is its width? (a) 12 cm (b) 7 cm (c) 85 cm (d) 6 cm
  21. 21.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 20 cm (c) 18 cm (d) 11 cm
  22. 22.A rectangle has an area of 6 sq cm and a length of 3 cm. What is its width? (a) 1 cm (b) 4 cm (c) 3 cm (d) 2 cm
  23. 23.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
  24. 24.A rectangle is 19 cm long and 11 cm wide. What is its perimeter? (a) 30 cm (b) 49 cm (c) 209 cm (d) 60 cm
  25. 25.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
  26. 26.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 11 cm (b) 10 cm (c) 20 cm (d) 108 cm
  27. 27.A rectangle is 17 cm long and 3 cm wide. What is its perimeter? (a) 51 cm (b) 37 cm (c) 40 cm (d) 20 cm
  28. 28.A rectangle is 16 cm long and 12 cm wide. What is its perimeter? (a) 56 cm (b) 28 cm (c) 192 cm (d) 44 cm
  29. 29.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 48 sq cm (b) 40 sq cm (c) 13 sq cm (d) 26 sq cm
  30. 30.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 44 sq cm (c) 22 sq cm (d) 121 sq cm
  31. 31.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 28 sq cm (d) 21 sq cm
  32. 32.A rectangle is 11 cm long and 8 cm wide. What is its area? (a) 19 sq cm (b) 88 sq cm (c) 99 sq cm (d) 38 sq cm
  33. 33.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 17 cm (b) 22 cm (c) 11 cm (d) 30 cm
  34. 34.A rectangle is 18 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 54 sq cm (d) 36 sq cm
  35. 35.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 19 sq cm (c) 18 sq cm (d) 9 sq cm
  36. 36.A rectangle has an area of 80 sq cm and a length of 20 cm. What is its width? (a) 5 cm (b) 8 cm (c) 4 cm (d) 60 cm
  37. 37.A rectangle is 14 cm long and 4 cm wide. What is its area? (a) 70 sq cm (b) 36 sq cm (c) 56 sq cm (d) 18 sq cm
  38. 38.A rectangle is 15 cm long and 5 cm wide. What is its perimeter? (a) 35 cm (b) 20 cm (c) 75 cm (d) 40 cm
  39. 39.A rectangle is 13 cm long and 8 cm wide. What is its perimeter? (a) 42 cm (b) 34 cm (c) 21 cm (d) 104 cm
  40. 40.A rectangle has an area of 85 sq cm and a length of 17 cm. What is its width? (a) 10 cm (b) 6 cm (c) 5 cm (d) 68 cm

Answer key

  1. 225 sq cm
  2. 240 sq cm
  3. 42 cm
  4. 28 cm
  5. 68 sq cm
  6. 46 cm
  7. 3 cm
  8. 4 cm
  9. 144 sq cm
  10. 180 sq cm
  11. 196 sq cm
  12. 30 cm
  13. 64 sq cm
  14. 40 cm
  15. 6 cm
  16. 5 cm
  17. 100 sq cm
  18. 52 cm
  19. 3 cm
  20. 6 cm
  21. 22 cm
  22. 2 cm
  23. 64 sq cm
  24. 60 cm
  25. 169 sq cm
  26. 10 cm
  27. 40 cm
  28. 56 cm
  29. 40 sq cm
  30. 121 sq cm
  31. 21 sq cm
  32. 88 sq cm
  33. 22 cm
  34. 36 sq cm
  35. 18 sq cm
  36. 4 cm
  37. 56 sq cm
  38. 40 cm
  39. 42 cm
  40. 5 cm

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