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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 868 · 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 6 cm long and 3 cm wide. What is its area? (a) 18 sq cm (b) 19 sq cm (c) 9 sq cm (d) 24 sq cm
  2. 2.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 28 sq cm (c) 14 sq cm (d) 49 sq cm
  3. 3.A rectangle is 13 cm long and 7 cm wide. What is its perimeter? (a) 40 cm (b) 91 cm (c) 20 cm (d) 33 cm
  4. 4.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 121 sq cm (c) 100 sq cm (d) 20 sq cm
  5. 5.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its width? (a) 24 cm (b) 5 cm (c) 6 cm (d) 10 cm
  6. 6.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 196 sq cm (d) 225 sq cm
  7. 7.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 225 sq cm (d) 256 sq cm
  8. 8.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) 48 cm (d) 4 cm
  9. 9.A rectangle has an area of 6 sq cm and a length of 3 cm. What is its width? (a) 2 cm (b) 1 cm (c) 4 cm (d) 3 cm
  10. 10.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 81 sq cm (d) 100 sq cm
  11. 11.A rectangle is 15 cm long and 9 cm wide. What is its perimeter? (a) 135 cm (b) 24 cm (c) 39 cm (d) 48 cm
  12. 12.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 48 sq cm (b) 13 sq cm (c) 26 sq cm (d) 40 sq cm
  13. 13.A rectangle has an area of 45 sq cm and a length of 15 cm. What is its width? (a) 4 cm (b) 3 cm (c) 6 cm (d) 30 cm
  14. 14.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 121 sq cm (c) 22 sq cm (d) 44 sq cm
  15. 15.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 22 sq cm (b) 32 sq cm (c) 24 sq cm (d) 11 sq cm
  16. 16.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 42 sq cm (b) 85 sq cm (c) 68 sq cm (d) 21 sq cm
  17. 17.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 12 cm (b) 4 cm (c) 3 cm (d) 6 cm
  18. 18.A rectangle has an area of 133 sq cm and a length of 19 cm. What is its width? (a) 7 cm (b) 14 cm (c) 114 cm (d) 8 cm
  19. 19.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 169 sq cm (c) 196 sq cm (d) 52 sq cm
  20. 20.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 169 sq cm (c) 48 sq cm (d) 144 sq cm
  21. 21.A rectangle is 12 cm long and 6 cm wide. What is its perimeter? (a) 72 cm (b) 30 cm (c) 36 cm (d) 18 cm
  22. 22.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 49 sq cm (c) 36 sq cm (d) 24 sq cm
  23. 23.A rectangle has an area of 80 sq cm and a length of 16 cm. What is its width? (a) 5 cm (b) 6 cm (c) 64 cm (d) 10 cm
  24. 24.A rectangle is 12 cm long and 3 cm wide. What is its perimeter? (a) 27 cm (b) 30 cm (c) 15 cm (d) 36 cm
  25. 25.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 9 cm (c) 14 cm (d) 16 cm
  26. 26.A rectangle has an area of 60 sq cm and a length of 15 cm. What is its width? (a) 45 cm (b) 4 cm (c) 8 cm (d) 5 cm
  27. 27.A rectangle is 20 cm long and 6 cm wide. What is its perimeter? (a) 120 cm (b) 52 cm (c) 26 cm (d) 46 cm
  28. 28.A rectangle is 17 cm long and 8 cm wide. What is its area? (a) 50 sq cm (b) 25 sq cm (c) 136 sq cm (d) 153 sq cm
  29. 29.A rectangle is 14 cm long and 11 cm wide. What is its perimeter? (a) 154 cm (b) 25 cm (c) 39 cm (d) 50 cm
  30. 30.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 32 sq cm (b) 72 sq cm (c) 16 sq cm (d) 63 sq cm
  31. 31.A rectangle is 14 cm long and 6 cm wide. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 98 sq cm (d) 84 sq cm
  32. 32.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 16 cm (b) 32 cm (c) 28 cm (d) 48 cm
  33. 33.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 32 sq cm (c) 16 sq cm (d) 81 sq cm
  34. 34.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 20 sq cm (c) 36 sq cm (d) 10 sq cm
  35. 35.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 62 sq cm (b) 240 sq cm (c) 220 sq cm (d) 31 sq cm
  36. 36.A rectangle has an area of 90 sq cm and a length of 18 cm. What is its width? (a) 72 cm (b) 5 cm (c) 10 cm (d) 6 cm
  37. 37.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 5 cm (b) 8 cm (c) 4 cm (d) 21 cm
  38. 38.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 11 cm (b) 12 cm (c) 22 cm (d) 160 cm
  39. 39.A rectangle has an area of 44 sq cm and a length of 11 cm. What is its width? (a) 4 cm (b) 5 cm (c) 33 cm (d) 8 cm
  40. 40.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its width? (a) 6 cm (b) 12 cm (c) 7 cm (d) 40 cm

Answer key

  1. 18 sq cm
  2. 49 sq cm
  3. 40 cm
  4. 100 sq cm
  5. 5 cm
  6. 196 sq cm
  7. 225 sq cm
  8. 4 cm
  9. 2 cm
  10. 81 sq cm
  11. 48 cm
  12. 40 sq cm
  13. 3 cm
  14. 121 sq cm
  15. 24 sq cm
  16. 68 sq cm
  17. 3 cm
  18. 7 cm
  19. 169 sq cm
  20. 144 sq cm
  21. 36 cm
  22. 36 sq cm
  23. 5 cm
  24. 30 cm
  25. 18 cm
  26. 4 cm
  27. 52 cm
  28. 136 sq cm
  29. 50 cm
  30. 63 sq cm
  31. 84 sq cm
  32. 32 cm
  33. 64 sq cm
  34. 25 sq cm
  35. 220 sq cm
  36. 5 cm
  37. 4 cm
  38. 11 cm
  39. 4 cm
  40. 6 cm

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