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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 386 · 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 60 sq cm and a length of 15 cm. What is its width? (a) 45 cm (b) 8 cm (c) 5 cm (d) 4 cm
  2. 2.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 10 cm (b) 20 cm (c) 18 cm (d) 16 cm
  3. 3.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 64 sq cm (c) 28 sq cm (d) 14 sq cm
  4. 4.A rectangle has an area of 64 sq cm and a length of 16 cm. What is its width? (a) 8 cm (b) 5 cm (c) 4 cm (d) 48 cm
  5. 5.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 121 sq cm (d) 144 sq cm
  6. 6.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 13 cm (b) 24 cm (c) 12 cm (d) 220 cm
  7. 7.A rectangle is 17 cm long and 5 cm wide. What is its area? (a) 102 sq cm (b) 22 sq cm (c) 85 sq cm (d) 44 sq cm
  8. 8.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its width? (a) 27 cm (b) 8 cm (c) 5 cm (d) 4 cm
  9. 9.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 10 cm (b) 18 cm (c) 136 cm (d) 9 cm
  10. 10.A rectangle is 12 cm long and 8 cm wide. What is its area? (a) 20 sq cm (b) 108 sq cm (c) 96 sq cm (d) 40 sq cm
  11. 11.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 13 cm (b) 26 cm (c) 20 cm (d) 42 cm
  12. 12.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 30 cm (b) 17 cm (c) 22 cm (d) 11 cm
  13. 13.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 81 sq cm (c) 18 sq cm (d) 36 sq cm
  14. 14.A rectangle is 19 cm long and 12 cm wide. What is its perimeter? (a) 228 cm (b) 62 cm (c) 50 cm (d) 31 cm
  15. 15.A rectangle has an area of 76 sq cm and a length of 19 cm. What is its width? (a) 5 cm (b) 8 cm (c) 4 cm (d) 57 cm
  16. 16.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 27 cm (b) 21 cm (c) 24 cm (d) 12 cm
  17. 17.A rectangle is 17 cm long and 5 cm wide. What is its perimeter? (a) 39 cm (b) 22 cm (c) 85 cm (d) 44 cm
  18. 18.A rectangle has an area of 162 sq cm and a length of 18 cm. What is its width? (a) 10 cm (b) 18 cm (c) 9 cm (d) 144 cm
  19. 19.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 7 cm (b) 12 cm (c) 6 cm (d) 100 cm
  20. 20.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 14 sq cm (d) 48 sq cm
  21. 21.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 35 sq cm (b) 11 sq cm (c) 22 sq cm (d) 28 sq cm
  22. 22.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 28 sq cm (d) 21 sq cm
  23. 23.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 3 cm (b) 6 cm (c) 4 cm (d) 2 cm
  24. 24.A rectangle is 12 cm long and 6 cm wide. What is its area? (a) 84 sq cm (b) 36 sq cm (c) 18 sq cm (d) 72 sq cm
  25. 25.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 49 sq cm (d) 36 sq cm
  26. 26.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 22 sq cm (c) 11 sq cm (d) 30 sq cm
  27. 27.A rectangle is 16 cm long and 3 cm wide. What is its area? (a) 19 sq cm (b) 38 sq cm (c) 64 sq cm (d) 48 sq cm
  28. 28.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 225 sq cm (c) 28 sq cm (d) 196 sq cm
  29. 29.A rectangle is 17 cm long and 4 cm wide. What is its perimeter? (a) 21 cm (b) 68 cm (c) 38 cm (d) 42 cm
  30. 30.A rectangle is 13 cm long and 11 cm wide. What is its perimeter? (a) 48 cm (b) 143 cm (c) 24 cm (d) 37 cm
  31. 31.A rectangle is 11 cm long and 6 cm wide. What is its area? (a) 17 sq cm (b) 77 sq cm (c) 66 sq cm (d) 34 sq cm
  32. 32.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 64 sq cm (b) 30 sq cm (c) 56 sq cm (d) 15 sq cm
  33. 33.A rectangle has an area of 54 sq cm and a length of 9 cm. What is its width? (a) 45 cm (b) 12 cm (c) 6 cm (d) 7 cm
  34. 34.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 11 cm (b) 170 cm (c) 12 cm (d) 22 cm
  35. 35.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 7 cm (b) 14 cm (c) 60 cm (d) 8 cm
  36. 36.A rectangle is 13 cm long and 7 cm wide. What is its area? (a) 91 sq cm (b) 104 sq cm (c) 40 sq cm (d) 20 sq cm
  37. 37.A rectangle is 19 cm long and 3 cm wide. What is its perimeter? (a) 57 cm (b) 44 cm (c) 22 cm (d) 41 cm
  38. 38.A rectangle is 18 cm long and 3 cm wide. What is its area? (a) 54 sq cm (b) 72 sq cm (c) 21 sq cm (d) 42 sq cm
  39. 39.A rectangle is 11 cm long and 4 cm wide. What is its area? (a) 44 sq cm (b) 30 sq cm (c) 15 sq cm (d) 55 sq cm
  40. 40.A rectangle is 11 cm long and 9 cm wide. What is its perimeter? (a) 31 cm (b) 40 cm (c) 99 cm (d) 20 cm

Answer key

  1. 4 cm
  2. 20 cm
  3. 49 sq cm
  4. 4 cm
  5. 121 sq cm
  6. 12 cm
  7. 85 sq cm
  8. 4 cm
  9. 9 cm
  10. 96 sq cm
  11. 26 cm
  12. 22 cm
  13. 81 sq cm
  14. 62 cm
  15. 4 cm
  16. 24 cm
  17. 44 cm
  18. 9 cm
  19. 6 cm
  20. 48 sq cm
  21. 28 sq cm
  22. 21 sq cm
  23. 2 cm
  24. 72 sq cm
  25. 36 sq cm
  26. 30 sq cm
  27. 48 sq cm
  28. 196 sq cm
  29. 42 cm
  30. 48 cm
  31. 66 sq cm
  32. 56 sq cm
  33. 6 cm
  34. 11 cm
  35. 7 cm
  36. 91 sq cm
  37. 44 cm
  38. 54 sq cm
  39. 44 sq cm
  40. 40 cm

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