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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 623 · 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 140 sq cm and a length of 20 cm. What is its width? (a) 8 cm (b) 120 cm (c) 14 cm (d) 7 cm
  2. 2.A rectangle is 19 cm long and 9 cm wide. What is its perimeter? (a) 56 cm (b) 171 cm (c) 47 cm (d) 28 cm
  3. 3.A rectangle is 19 cm long and 10 cm wide. What is its area? (a) 58 sq cm (b) 190 sq cm (c) 29 sq cm (d) 209 sq cm
  4. 4.A rectangle is 15 cm long and 6 cm wide. What is its area? (a) 105 sq cm (b) 42 sq cm (c) 90 sq cm (d) 21 sq cm
  5. 5.A rectangle is 19 cm long and 7 cm wide. What is its perimeter? (a) 45 cm (b) 26 cm (c) 52 cm (d) 133 cm
  6. 6.A rectangle has an area of 70 sq cm and a length of 14 cm. What is its width? (a) 6 cm (b) 5 cm (c) 10 cm (d) 56 cm
  7. 7.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 78 sq cm (b) 36 sq cm (c) 65 sq cm (d) 18 sq cm
  8. 8.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 28 sq cm (c) 56 sq cm (d) 196 sq cm
  9. 9.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 27 sq cm (b) 11 sq cm (c) 22 sq cm (d) 18 sq cm
  10. 10.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 49 sq cm (c) 64 sq cm (d) 14 sq cm
  11. 11.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 11 cm (b) 22 cm (c) 24 cm (d) 19 cm
  12. 12.A rectangle is 18 cm long and 7 cm wide. What is its perimeter? (a) 126 cm (b) 50 cm (c) 25 cm (d) 43 cm
  13. 13.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 26 sq cm (c) 196 sq cm (d) 52 sq cm
  14. 14.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 225 sq cm (c) 60 sq cm (d) 30 sq cm
  15. 15.A rectangle has an area of 144 sq cm and a length of 18 cm. What is its width? (a) 8 cm (b) 126 cm (c) 16 cm (d) 9 cm
  16. 16.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 30 cm (b) 13 cm (c) 26 cm (d) 23 cm
  17. 17.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 32 sq cm (b) 70 sq cm (c) 60 sq cm (d) 16 sq cm
  18. 18.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
  19. 19.A rectangle is 13 cm long and 3 cm wide. What is its perimeter? (a) 39 cm (b) 32 cm (c) 29 cm (d) 16 cm
  20. 20.A rectangle is 12 cm long and 8 cm wide. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 108 sq cm (d) 96 sq cm
  21. 21.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 60 sq cm (d) 45 sq cm
  22. 22.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 15 sq cm (c) 48 sq cm (d) 30 sq cm
  23. 23.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 22 sq cm (b) 11 sq cm (c) 28 sq cm (d) 35 sq cm
  24. 24.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 16 sq cm (c) 81 sq cm (d) 32 sq cm
  25. 25.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 22 sq cm (c) 30 sq cm (d) 11 sq cm
  26. 26.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 12 sq cm (b) 35 sq cm (c) 24 sq cm (d) 42 sq cm
  27. 27.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 12 cm (b) 190 cm (c) 11 cm (d) 22 cm
  28. 28.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) 12 cm (d) 22 cm
  29. 29.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 10 cm (c) 16 cm (d) 20 cm
  30. 30.A rectangle is 15 cm long and 7 cm wide. What is its perimeter? (a) 105 cm (b) 22 cm (c) 37 cm (d) 44 cm
  31. 31.A rectangle is 16 cm long and 10 cm wide. What is its area? (a) 176 sq cm (b) 26 sq cm (c) 160 sq cm (d) 52 sq cm
  32. 32.A rectangle is 20 cm long and 9 cm wide. What is its area? (a) 58 sq cm (b) 200 sq cm (c) 180 sq cm (d) 29 sq cm
  33. 33.A rectangle is 15 cm long and 5 cm wide. What is its perimeter? (a) 40 cm (b) 35 cm (c) 75 cm (d) 20 cm
  34. 34.A rectangle is 17 cm long and 8 cm wide. What is its perimeter? (a) 136 cm (b) 25 cm (c) 42 cm (d) 50 cm
  35. 35.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 11 cm (b) 10 cm (c) 180 cm (d) 20 cm
  36. 36.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 7 cm (b) 12 cm (c) 70 cm (d) 6 cm
  37. 37.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 22 sq cm (c) 44 sq cm (d) 121 sq cm
  38. 38.A rectangle is 18 cm long and 9 cm wide. What is its perimeter? (a) 162 cm (b) 45 cm (c) 54 cm (d) 27 cm
  39. 39.A rectangle is 12 cm long and 6 cm wide. What is its perimeter? (a) 30 cm (b) 36 cm (c) 18 cm (d) 72 cm
  40. 40.A rectangle is 20 cm long and 6 cm wide. What is its area? (a) 140 sq cm (b) 120 sq cm (c) 52 sq cm (d) 26 sq cm

Answer key

  1. 7 cm
  2. 56 cm
  3. 190 sq cm
  4. 90 sq cm
  5. 52 cm
  6. 5 cm
  7. 65 sq cm
  8. 196 sq cm
  9. 18 sq cm
  10. 49 sq cm
  11. 22 cm
  12. 50 cm
  13. 169 sq cm
  14. 225 sq cm
  15. 8 cm
  16. 26 cm
  17. 60 sq cm
  18. 18 cm
  19. 32 cm
  20. 96 sq cm
  21. 45 sq cm
  22. 36 sq cm
  23. 28 sq cm
  24. 64 sq cm
  25. 30 sq cm
  26. 35 sq cm
  27. 11 cm
  28. 11 cm
  29. 20 cm
  30. 44 cm
  31. 160 sq cm
  32. 180 sq cm
  33. 40 cm
  34. 50 cm
  35. 10 cm
  36. 6 cm
  37. 121 sq cm
  38. 54 cm
  39. 36 cm
  40. 120 sq cm

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