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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 729 · 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 19 cm long and 4 cm wide. What is its area? (a) 46 sq cm (b) 23 sq cm (c) 95 sq cm (d) 76 sq cm
  2. 2.A rectangle has an area of 40 sq cm and a length of 8 cm. What is its width? (a) 6 cm (b) 10 cm (c) 32 cm (d) 5 cm
  3. 3.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 16 cm (b) 4 cm (c) 3 cm (d) 6 cm
  4. 4.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 81 sq cm (b) 34 sq cm (c) 72 sq cm (d) 17 sq cm
  5. 5.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 60 sq cm (b) 15 sq cm (c) 30 sq cm (d) 50 sq cm
  6. 6.A rectangle is 14 cm long and 4 cm wide. What is its area? (a) 70 sq cm (b) 18 sq cm (c) 56 sq cm (d) 36 sq cm
  7. 7.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
  8. 8.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 64 sq cm (c) 16 sq cm (d) 81 sq cm
  9. 9.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its width? (a) 6 cm (b) 28 cm (c) 5 cm (d) 10 cm
  10. 10.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
  11. 11.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) 5 cm (d) 4 cm
  12. 12.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 60 cm (b) 32 cm (c) 26 cm (d) 16 cm
  13. 13.A rectangle is 18 cm long and 6 cm wide. What is its area? (a) 108 sq cm (b) 24 sq cm (c) 48 sq cm (d) 126 sq cm
  14. 14.A rectangle is 14 cm long and 10 cm wide. What is its area? (a) 154 sq cm (b) 48 sq cm (c) 24 sq cm (d) 140 sq cm
  15. 15.A rectangle is 15 cm long and 11 cm wide. What is its area? (a) 52 sq cm (b) 165 sq cm (c) 26 sq cm (d) 180 sq cm
  16. 16.A rectangle has an area of 85 sq cm and a length of 17 cm. What is its width? (a) 10 cm (b) 5 cm (c) 6 cm (d) 68 cm
  17. 17.A rectangle has an area of 50 sq cm and a length of 10 cm. What is its width? (a) 40 cm (b) 5 cm (c) 10 cm (d) 6 cm
  18. 18.A rectangle is 15 cm long and 12 cm wide. What is its perimeter? (a) 180 cm (b) 42 cm (c) 54 cm (d) 27 cm
  19. 19.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 56 sq cm (c) 28 sq cm (d) 196 sq cm
  20. 20.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 23 cm (b) 13 cm (c) 26 cm (d) 30 cm
  21. 21.A rectangle is 11 cm long and 5 cm wide. What is its area? (a) 55 sq cm (b) 16 sq cm (c) 32 sq cm (d) 66 sq cm
  22. 22.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 24 sq cm (c) 144 sq cm (d) 48 sq cm
  23. 23.A rectangle is 17 cm long and 2 cm wide. What is its perimeter? (a) 38 cm (b) 34 cm (c) 36 cm (d) 19 cm
  24. 24.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 225 sq cm (c) 256 sq cm (d) 30 sq cm
  25. 25.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 18 sq cm (c) 81 sq cm (d) 36 sq cm
  26. 26.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 16 cm (c) 9 cm (d) 14 cm
  27. 27.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 10 sq cm (c) 30 sq cm (d) 20 sq cm
  28. 28.A rectangle is 16 cm long and 6 cm wide. What is its area? (a) 22 sq cm (b) 112 sq cm (c) 96 sq cm (d) 44 sq cm
  29. 29.A rectangle is 19 cm long and 8 cm wide. What is its perimeter? (a) 54 cm (b) 152 cm (c) 27 cm (d) 46 cm
  30. 30.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 11 cm (b) 22 cm (c) 12 cm (d) 120 cm
  31. 31.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 34 sq cm (b) 17 sq cm (c) 80 sq cm (d) 70 sq cm
  32. 32.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 12 cm (b) 13 cm (c) 220 cm (d) 24 cm
  33. 33.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 144 sq cm (c) 44 sq cm (d) 22 sq cm
  34. 34.A rectangle is 18 cm long and 7 cm wide. What is its area? (a) 25 sq cm (b) 126 sq cm (c) 144 sq cm (d) 50 sq cm
  35. 35.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
  36. 36.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 36 sq cm (c) 24 sq cm (d) 49 sq cm
  37. 37.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 40 sq cm (b) 13 sq cm (c) 30 sq cm (d) 26 sq cm
  38. 38.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 25 sq cm (d) 36 sq cm
  39. 39.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 38 sq cm (b) 19 sq cm (c) 96 sq cm (d) 84 sq cm
  40. 40.A rectangle has an area of 108 sq cm and a length of 18 cm. What is its width? (a) 12 cm (b) 6 cm (c) 90 cm (d) 7 cm

Answer key

  1. 76 sq cm
  2. 5 cm
  3. 3 cm
  4. 72 sq cm
  5. 50 sq cm
  6. 56 sq cm
  7. 49 sq cm
  8. 64 sq cm
  9. 5 cm
  10. 10 cm
  11. 4 cm
  12. 32 cm
  13. 108 sq cm
  14. 140 sq cm
  15. 165 sq cm
  16. 5 cm
  17. 5 cm
  18. 54 cm
  19. 196 sq cm
  20. 26 cm
  21. 55 sq cm
  22. 144 sq cm
  23. 38 cm
  24. 225 sq cm
  25. 81 sq cm
  26. 18 cm
  27. 24 sq cm
  28. 96 sq cm
  29. 54 cm
  30. 11 cm
  31. 70 sq cm
  32. 12 cm
  33. 121 sq cm
  34. 126 sq cm
  35. 28 sq cm
  36. 36 sq cm
  37. 30 sq cm
  38. 25 sq cm
  39. 84 sq cm
  40. 6 cm

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