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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 285 · 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 14 cm long and 10 cm wide. What is its perimeter? (a) 24 cm (b) 140 cm (c) 48 cm (d) 38 cm
  2. 2.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 30 sq cm (c) 20 sq cm (d) 12 sq cm
  3. 3.A rectangle has an area of 72 sq cm and a length of 18 cm. What is its width? (a) 4 cm (b) 8 cm (c) 54 cm (d) 5 cm
  4. 4.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 28 sq cm (b) 22 sq cm (c) 35 sq cm (d) 11 sq cm
  5. 5.A rectangle is 18 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 54 sq cm (c) 36 sq cm (d) 40 sq cm
  6. 6.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 22 cm (b) 36 cm (c) 13 cm (d) 26 cm
  7. 7.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 30 sq cm (b) 54 sq cm (c) 15 sq cm (d) 63 sq cm
  8. 8.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 50 cm (b) 15 cm (c) 25 cm (d) 30 cm
  9. 9.A rectangle is 19 cm long and 9 cm wide. What is its perimeter? (a) 171 cm (b) 56 cm (c) 47 cm (d) 28 cm
  10. 10.A rectangle has an area of 60 sq cm and a length of 10 cm. What is its width? (a) 7 cm (b) 6 cm (c) 12 cm (d) 50 cm
  11. 11.A rectangle has an area of 45 sq cm and a length of 15 cm. What is its width? (a) 4 cm (b) 30 cm (c) 3 cm (d) 6 cm
  12. 12.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 28 sq cm (c) 49 sq cm (d) 14 sq cm
  13. 13.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 26 sq cm (c) 52 sq cm (d) 169 sq cm
  14. 14.A rectangle is 18 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 42 cm (c) 54 cm (d) 39 cm
  15. 15.A rectangle has an area of 32 sq cm and a length of 8 cm. What is its width? (a) 24 cm (b) 8 cm (c) 5 cm (d) 4 cm
  16. 16.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 20 cm (b) 126 cm (c) 11 cm (d) 10 cm
  17. 17.A rectangle is 12 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 26 cm (c) 24 cm (d) 28 cm
  18. 18.A rectangle has an area of 32 sq cm and a length of 16 cm. What is its width? (a) 16 cm (b) 3 cm (c) 4 cm (d) 2 cm
  19. 19.A rectangle has an area of 160 sq cm and a length of 20 cm. What is its width? (a) 16 cm (b) 9 cm (c) 8 cm (d) 140 cm
  20. 20.A rectangle is 20 cm long and 2 cm wide. What is its area? (a) 60 sq cm (b) 44 sq cm (c) 22 sq cm (d) 40 sq cm
  21. 21.A rectangle has an area of 98 sq cm and a length of 14 cm. What is its width? (a) 84 cm (b) 7 cm (c) 14 cm (d) 8 cm
  22. 22.A rectangle is 12 cm long and 6 cm wide. What is its area? (a) 84 sq cm (b) 18 sq cm (c) 72 sq cm (d) 36 sq cm
  23. 23.A rectangle has an area of 54 sq cm and a length of 9 cm. What is its width? (a) 12 cm (b) 6 cm (c) 45 cm (d) 7 cm
  24. 24.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 25 sq cm (c) 10 sq cm (d) 36 sq cm
  25. 25.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 81 sq cm (c) 100 sq cm (d) 18 sq cm
  26. 26.A rectangle is 12 cm long and 8 cm wide. What is its area? (a) 96 sq cm (b) 20 sq cm (c) 40 sq cm (d) 108 sq cm
  27. 27.A rectangle is 18 cm long and 11 cm wide. What is its area? (a) 29 sq cm (b) 216 sq cm (c) 198 sq cm (d) 58 sq cm
  28. 28.A rectangle is 15 cm long and 6 cm wide. What is its perimeter? (a) 21 cm (b) 90 cm (c) 42 cm (d) 36 cm
  29. 29.A rectangle is 15 cm long and 11 cm wide. What is its perimeter? (a) 26 cm (b) 52 cm (c) 41 cm (d) 165 cm
  30. 30.A rectangle is 14 cm long and 6 cm wide. What is its perimeter? (a) 20 cm (b) 84 cm (c) 40 cm (d) 34 cm
  31. 31.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 14 cm (b) 7 cm (c) 8 cm (d) 60 cm
  32. 32.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 30 cm (b) 54 cm (c) 24 cm (d) 15 cm
  33. 33.A rectangle has an area of 105 sq cm and a length of 15 cm. What is its width? (a) 7 cm (b) 14 cm (c) 90 cm (d) 8 cm
  34. 34.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 48 sq cm (c) 169 sq cm (d) 24 sq cm
  35. 35.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 9 sq cm (b) 24 sq cm (c) 19 sq cm (d) 18 sq cm
  36. 36.A rectangle is 16 cm long and 2 cm wide. What is its perimeter? (a) 36 cm (b) 34 cm (c) 18 cm (d) 32 cm
  37. 37.A rectangle is 15 cm long and 8 cm wide. What is its perimeter? (a) 23 cm (b) 38 cm (c) 46 cm (d) 120 cm
  38. 38.A rectangle is 11 cm long and 9 cm wide. What is its perimeter? (a) 20 cm (b) 99 cm (c) 40 cm (d) 31 cm
  39. 39.A rectangle has an area of 90 sq cm and a length of 15 cm. What is its width? (a) 75 cm (b) 6 cm (c) 12 cm (d) 7 cm
  40. 40.A rectangle has an area of 190 sq cm and a length of 19 cm. What is its width? (a) 10 cm (b) 11 cm (c) 171 cm (d) 20 cm

Answer key

  1. 48 cm
  2. 20 sq cm
  3. 4 cm
  4. 28 sq cm
  5. 36 sq cm
  6. 26 cm
  7. 54 sq cm
  8. 30 cm
  9. 56 cm
  10. 6 cm
  11. 3 cm
  12. 49 sq cm
  13. 169 sq cm
  14. 42 cm
  15. 4 cm
  16. 10 cm
  17. 28 cm
  18. 2 cm
  19. 8 cm
  20. 40 sq cm
  21. 7 cm
  22. 72 sq cm
  23. 6 cm
  24. 25 sq cm
  25. 81 sq cm
  26. 96 sq cm
  27. 198 sq cm
  28. 42 cm
  29. 52 cm
  30. 40 cm
  31. 7 cm
  32. 30 cm
  33. 7 cm
  34. 144 sq cm
  35. 18 sq cm
  36. 36 cm
  37. 46 cm
  38. 40 cm
  39. 6 cm
  40. 10 cm

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