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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 564 · 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 16 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 38 cm (c) 35 cm (d) 48 cm
  2. 2.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 200 cm (b) 12 cm (c) 11 cm (d) 22 cm
  3. 3.A rectangle has an area of 6 sq cm and a length of 3 cm. What is its width? (a) 4 cm (b) 3 cm (c) 2 cm (d) 1 cm
  4. 4.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
  5. 5.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 64 sq cm (d) 80 sq cm
  6. 6.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 81 sq cm (d) 64 sq cm
  7. 7.A rectangle has an area of 51 sq cm and a length of 17 cm. What is its width? (a) 6 cm (b) 3 cm (c) 4 cm (d) 34 cm
  8. 8.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
  9. 9.A rectangle is 11 cm long and 8 cm wide. What is its area? (a) 88 sq cm (b) 19 sq cm (c) 99 sq cm (d) 38 sq cm
  10. 10.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 22 cm (b) 12 cm (c) 11 cm (d) 120 cm
  11. 11.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 60 sq cm (b) 15 sq cm (c) 30 sq cm (d) 50 sq cm
  12. 12.A rectangle has an area of 40 sq cm and a length of 8 cm. What is its width? (a) 5 cm (b) 10 cm (c) 32 cm (d) 6 cm
  13. 13.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 52 sq cm (c) 26 sq cm (d) 196 sq cm
  14. 14.A rectangle has an area of 45 sq cm and a length of 9 cm. What is its width? (a) 6 cm (b) 5 cm (c) 36 cm (d) 10 cm
  15. 15.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 48 sq cm (c) 24 sq cm (d) 169 sq cm
  16. 16.A rectangle is 20 cm long and 4 cm wide. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 80 sq cm (d) 100 sq cm
  17. 17.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 18 cm (b) 15 cm (c) 9 cm (d) 19 cm
  18. 18.A rectangle has an area of 114 sq cm and a length of 19 cm. What is its width? (a) 12 cm (b) 95 cm (c) 6 cm (d) 7 cm
  19. 19.A rectangle is 15 cm long and 12 cm wide. What is its area? (a) 54 sq cm (b) 27 sq cm (c) 195 sq cm (d) 180 sq cm
  20. 20.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 13 cm (b) 22 cm (c) 26 cm (d) 36 cm
  21. 21.A rectangle is 16 cm long and 11 cm wide. What is its perimeter? (a) 43 cm (b) 54 cm (c) 27 cm (d) 176 cm
  22. 22.A rectangle is 18 cm long and 11 cm wide. What is its area? (a) 216 sq cm (b) 29 sq cm (c) 198 sq cm (d) 58 sq cm
  23. 23.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 30 sq cm (c) 256 sq cm (d) 60 sq cm
  24. 24.A rectangle has an area of 85 sq cm and a length of 17 cm. What is its width? (a) 68 cm (b) 10 cm (c) 6 cm (d) 5 cm
  25. 25.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 10 sq cm (b) 24 sq cm (c) 20 sq cm (d) 30 sq cm
  26. 26.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 6 cm (b) 12 cm (c) 7 cm (d) 100 cm
  27. 27.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 20 cm (b) 10 cm (c) 11 cm (d) 135 cm
  28. 28.A rectangle is 13 cm long and 7 cm wide. What is its perimeter? (a) 20 cm (b) 91 cm (c) 40 cm (d) 33 cm
  29. 29.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 20 sq cm (c) 36 sq cm (d) 10 sq cm
  30. 30.A rectangle is 17 cm long and 4 cm wide. What is its perimeter? (a) 68 cm (b) 21 cm (c) 38 cm (d) 42 cm
  31. 31.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 22 cm (b) 11 cm (c) 18 cm (d) 28 cm
  32. 32.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 31 sq cm (b) 240 sq cm (c) 220 sq cm (d) 62 sq cm
  33. 33.A rectangle is 12 cm long and 8 cm wide. What is its area? (a) 40 sq cm (b) 108 sq cm (c) 96 sq cm (d) 20 sq cm
  34. 34.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 24 cm (b) 19 cm (c) 12 cm (d) 35 cm
  35. 35.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 120 sq cm (b) 44 sq cm (c) 22 sq cm (d) 132 sq cm
  36. 36.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 38 sq cm (b) 90 sq cm (c) 19 sq cm (d) 100 sq cm
  37. 37.A rectangle is 15 cm long and 10 cm wide. What is its perimeter? (a) 40 cm (b) 50 cm (c) 150 cm (d) 25 cm
  38. 38.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 30 sq cm (c) 12 sq cm (d) 24 sq cm
  39. 39.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 54 sq cm (b) 170 sq cm (c) 187 sq cm (d) 27 sq cm
  40. 40.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 8 cm (b) 16 cm (c) 9 cm (d) 119 cm

Answer key

  1. 38 cm
  2. 11 cm
  3. 2 cm
  4. 36 sq cm
  5. 64 sq cm
  6. 64 sq cm
  7. 3 cm
  8. 196 sq cm
  9. 88 sq cm
  10. 11 cm
  11. 50 sq cm
  12. 5 cm
  13. 169 sq cm
  14. 5 cm
  15. 144 sq cm
  16. 80 sq cm
  17. 18 cm
  18. 6 cm
  19. 180 sq cm
  20. 26 cm
  21. 54 cm
  22. 198 sq cm
  23. 225 sq cm
  24. 5 cm
  25. 24 sq cm
  26. 6 cm
  27. 10 cm
  28. 40 cm
  29. 25 sq cm
  30. 42 cm
  31. 22 cm
  32. 220 sq cm
  33. 96 sq cm
  34. 24 cm
  35. 120 sq cm
  36. 90 sq cm
  37. 50 cm
  38. 20 sq cm
  39. 170 sq cm
  40. 8 cm

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