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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 944 · 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 32 sq cm and a length of 16 cm. What is its width? (a) 2 cm (b) 16 cm (c) 4 cm (d) 3 cm
  2. 2.A rectangle is 18 cm long and 12 cm wide. What is its perimeter? (a) 216 cm (b) 30 cm (c) 48 cm (d) 60 cm
  3. 3.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 15 cm (b) 30 cm (c) 25 cm (d) 50 cm
  4. 4.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 64 sq cm (c) 28 sq cm (d) 49 sq cm
  5. 5.A rectangle is 11 cm long and 6 cm wide. What is its perimeter? (a) 66 cm (b) 28 cm (c) 17 cm (d) 34 cm
  6. 6.A rectangle is 19 cm long and 7 cm wide. What is its area? (a) 152 sq cm (b) 26 sq cm (c) 133 sq cm (d) 52 sq cm
  7. 7.A rectangle is 16 cm long and 8 cm wide. What is its perimeter? (a) 24 cm (b) 128 cm (c) 40 cm (d) 48 cm
  8. 8.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its width? (a) 7 cm (b) 35 cm (c) 12 cm (d) 6 cm
  9. 9.A rectangle is 15 cm long and 6 cm wide. What is its perimeter? (a) 90 cm (b) 42 cm (c) 36 cm (d) 21 cm
  10. 10.A rectangle is 18 cm long and 9 cm wide. What is its perimeter? (a) 27 cm (b) 162 cm (c) 45 cm (d) 54 cm
  11. 11.A rectangle is 20 cm long and 2 cm wide. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 40 sq cm (d) 60 sq cm
  12. 12.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 121 sq cm (d) 100 sq cm
  13. 13.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 31 sq cm (b) 62 sq cm (c) 240 sq cm (d) 220 sq cm
  14. 14.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 130 cm (b) 22 cm (c) 11 cm (d) 12 cm
  15. 15.A rectangle is 20 cm long and 6 cm wide. What is its perimeter? (a) 120 cm (b) 26 cm (c) 46 cm (d) 52 cm
  16. 16.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 13 cm (b) 24 cm (c) 165 cm (d) 12 cm
  17. 17.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 13 sq cm (b) 48 sq cm (c) 26 sq cm (d) 40 sq cm
  18. 18.A rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 8 cm (b) 4 cm (c) 3 cm (d) 6 cm
  19. 19.A rectangle is 14 cm long and 12 cm wide. What is its area? (a) 26 sq cm (b) 182 sq cm (c) 52 sq cm (d) 168 sq cm
  20. 20.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 12 cm (b) 32 cm (c) 24 cm (d) 20 cm
  21. 21.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 256 sq cm (c) 225 sq cm (d) 30 sq cm
  22. 22.A rectangle has an area of 27 sq cm and a length of 9 cm. What is its width? (a) 4 cm (b) 18 cm (c) 3 cm (d) 6 cm
  23. 23.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 49 sq cm (c) 12 sq cm (d) 36 sq cm
  24. 24.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 26 cm (b) 72 cm (c) 34 cm (d) 17 cm
  25. 25.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 81 sq cm (c) 36 sq cm (d) 18 sq cm
  26. 26.A rectangle is 18 cm long and 3 cm wide. What is its area? (a) 72 sq cm (b) 42 sq cm (c) 54 sq cm (d) 21 sq cm
  27. 27.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 63 cm (b) 8 cm (c) 9 cm (d) 16 cm
  28. 28.A rectangle is 13 cm long and 7 cm wide. What is its area? (a) 40 sq cm (b) 104 sq cm (c) 91 sq cm (d) 20 sq cm
  29. 29.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 110 sq cm (b) 21 sq cm (c) 42 sq cm (d) 121 sq cm
  30. 30.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 13 cm (b) 12 cm (c) 24 cm (d) 220 cm
  31. 31.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 14 sq cm (b) 54 sq cm (c) 28 sq cm (d) 45 sq cm
  32. 32.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 12 cm (b) 6 cm (c) 100 cm (d) 7 cm
  33. 33.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 80 sq cm (b) 17 sq cm (c) 70 sq cm (d) 34 sq cm
  34. 34.A rectangle is 13 cm long and 8 cm wide. What is its perimeter? (a) 42 cm (b) 34 cm (c) 104 cm (d) 21 cm
  35. 35.A rectangle has an area of 80 sq cm and a length of 10 cm. What is its width? (a) 70 cm (b) 9 cm (c) 16 cm (d) 8 cm
  36. 36.A rectangle is 20 cm long and 8 cm wide. What is its area? (a) 28 sq cm (b) 180 sq cm (c) 160 sq cm (d) 56 sq cm
  37. 37.A rectangle is 12 cm long and 6 cm wide. What is its area? (a) 72 sq cm (b) 18 sq cm (c) 84 sq cm (d) 36 sq cm
  38. 38.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 56 sq cm (d) 48 sq cm
  39. 39.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) 5 cm (d) 54 cm
  40. 40.A rectangle is 18 cm long and 3 cm wide. What is its perimeter? (a) 39 cm (b) 21 cm (c) 54 cm (d) 42 cm

Answer key

  1. 2 cm
  2. 60 cm
  3. 30 cm
  4. 49 sq cm
  5. 34 cm
  6. 133 sq cm
  7. 48 cm
  8. 6 cm
  9. 42 cm
  10. 54 cm
  11. 40 sq cm
  12. 100 sq cm
  13. 220 sq cm
  14. 11 cm
  15. 52 cm
  16. 12 cm
  17. 40 sq cm
  18. 3 cm
  19. 168 sq cm
  20. 24 cm
  21. 225 sq cm
  22. 3 cm
  23. 36 sq cm
  24. 34 cm
  25. 81 sq cm
  26. 54 sq cm
  27. 8 cm
  28. 91 sq cm
  29. 110 sq cm
  30. 12 cm
  31. 45 sq cm
  32. 6 cm
  33. 70 sq cm
  34. 42 cm
  35. 8 cm
  36. 160 sq cm
  37. 72 sq cm
  38. 48 sq cm
  39. 4 cm
  40. 42 cm

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