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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 68 · 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 13 cm long and 3 cm wide. What is its area? (a) 16 sq cm (b) 39 sq cm (c) 32 sq cm (d) 52 sq 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 144 sq cm and a length of 18 cm. What is its width? (a) 8 cm (b) 9 cm (c) 126 cm (d) 16 cm
  4. 4.A rectangle has an area of 33 sq cm and a length of 11 cm. What is its width? (a) 22 cm (b) 3 cm (c) 6 cm (d) 4 cm
  5. 5.A rectangle is 15 cm long and 2 cm wide. What is its perimeter? (a) 17 cm (b) 34 cm (c) 30 cm (d) 32 cm
  6. 6.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 22 sq cm (b) 90 sq cm (c) 72 sq cm (d) 44 sq cm
  7. 7.A rectangle has an area of 48 sq cm and a length of 12 cm. What is its width? (a) 8 cm (b) 36 cm (c) 5 cm (d) 4 cm
  8. 8.A rectangle has an area of 60 sq cm and a length of 10 cm. What is its width? (a) 50 cm (b) 7 cm (c) 6 cm (d) 12 cm
  9. 9.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 16 cm (c) 8 cm (d) 12 cm
  10. 10.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 9 sq cm (b) 18 sq cm (c) 19 sq cm (d) 24 sq cm
  11. 11.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 25 cm (b) 32 cm (c) 63 cm (d) 16 cm
  12. 12.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 44 sq cm (c) 121 sq cm (d) 22 sq cm
  13. 13.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 60 sq cm (c) 256 sq cm (d) 30 sq cm
  14. 14.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 34 sq cm (b) 81 sq cm (c) 72 sq cm (d) 17 sq cm
  15. 15.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 9 cm (b) 16 cm (c) 18 cm (d) 14 cm
  16. 16.A rectangle has an area of 40 sq cm and a length of 10 cm. What is its width? (a) 30 cm (b) 8 cm (c) 4 cm (d) 5 cm
  17. 17.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 64 sq cm (d) 49 sq cm
  18. 18.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 6 cm (b) 7 cm (c) 100 cm (d) 12 cm
  19. 19.A rectangle has an area of 102 sq cm and a length of 17 cm. What is its width? (a) 85 cm (b) 12 cm (c) 7 cm (d) 6 cm
  20. 20.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 13 cm (b) 26 cm (c) 36 cm (d) 22 cm
  21. 21.A rectangle is 16 cm long and 12 cm wide. What is its area? (a) 28 sq cm (b) 208 sq cm (c) 192 sq cm (d) 56 sq cm
  22. 22.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 150 cm (b) 22 cm (c) 11 cm (d) 12 cm
  23. 23.A rectangle has an area of 63 sq cm and a length of 9 cm. What is its width? (a) 7 cm (b) 14 cm (c) 8 cm (d) 54 cm
  24. 24.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) 7 cm (d) 6 cm
  25. 25.A rectangle is 14 cm long and 9 cm wide. What is its perimeter? (a) 23 cm (b) 126 cm (c) 37 cm (d) 46 cm
  26. 26.A rectangle is 15 cm long and 2 cm wide. What is its area? (a) 45 sq cm (b) 17 sq cm (c) 30 sq cm (d) 34 sq cm
  27. 27.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 48 cm (b) 28 cm (c) 32 cm (d) 16 cm
  28. 28.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 21 sq cm (b) 9 sq cm (c) 18 sq cm (d) 14 sq cm
  29. 29.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 20 sq cm (c) 40 sq cm (d) 100 sq cm
  30. 30.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 60 sq cm (b) 32 sq cm (c) 16 sq cm (d) 48 sq cm
  31. 31.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 11 sq cm (c) 36 sq cm (d) 30 sq cm
  32. 32.A rectangle is 11 cm long and 4 cm wide. What is its perimeter? (a) 15 cm (b) 30 cm (c) 44 cm (d) 26 cm
  33. 33.A rectangle is 13 cm long and 7 cm wide. What is its perimeter? (a) 33 cm (b) 40 cm (c) 91 cm (d) 20 cm
  34. 34.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 21 sq cm (b) 120 sq cm (c) 108 sq cm (d) 42 sq cm
  35. 35.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its width? (a) 6 cm (b) 7 cm (c) 12 cm (d) 35 cm
  36. 36.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 25 sq cm (c) 36 sq cm (d) 20 sq cm
  37. 37.A rectangle has an area of 98 sq cm and a length of 14 cm. What is its width? (a) 7 cm (b) 14 cm (c) 84 cm (d) 8 cm
  38. 38.A rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 6 cm (b) 3 cm (c) 8 cm (d) 4 cm
  39. 39.A rectangle is 20 cm long and 2 cm wide. What is its area? (a) 40 sq cm (b) 60 sq cm (c) 44 sq cm (d) 22 sq cm
  40. 40.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 30 cm (b) 56 cm (c) 15 cm (d) 23 cm

Answer key

  1. 39 sq cm
  2. 20 sq cm
  3. 8 cm
  4. 3 cm
  5. 34 cm
  6. 72 sq cm
  7. 4 cm
  8. 6 cm
  9. 16 cm
  10. 18 sq cm
  11. 32 cm
  12. 121 sq cm
  13. 225 sq cm
  14. 72 sq cm
  15. 18 cm
  16. 4 cm
  17. 49 sq cm
  18. 6 cm
  19. 6 cm
  20. 26 cm
  21. 192 sq cm
  22. 11 cm
  23. 7 cm
  24. 6 cm
  25. 46 cm
  26. 30 sq cm
  27. 32 cm
  28. 14 sq cm
  29. 100 sq cm
  30. 48 sq cm
  31. 30 sq cm
  32. 30 cm
  33. 40 cm
  34. 108 sq cm
  35. 6 cm
  36. 25 sq cm
  37. 7 cm
  38. 3 cm
  39. 40 sq cm
  40. 30 cm

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