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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 321 · 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 10 cm long and 9 cm wide. What is its area? (a) 90 sq cm (b) 19 sq cm (c) 38 sq cm (d) 100 sq cm
  2. 2.A rectangle has an area of 95 sq cm and a length of 19 cm. What is its width? (a) 6 cm (b) 5 cm (c) 10 cm (d) 76 cm
  3. 3.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 18 sq cm (c) 9 sq cm (d) 19 sq cm
  4. 4.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 12 sq cm (b) 32 sq cm (c) 40 sq cm (d) 24 sq cm
  5. 5.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 90 sq cm (d) 80 sq cm
  6. 6.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 12 cm (b) 170 cm (c) 11 cm (d) 22 cm
  7. 7.A rectangle has an area of 160 sq cm and a length of 16 cm. What is its width? (a) 10 cm (b) 20 cm (c) 11 cm (d) 144 cm
  8. 8.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 17 sq cm (b) 34 sq cm (c) 81 sq cm (d) 72 sq cm
  9. 9.A rectangle has an area of 10 sq cm and a length of 5 cm. What is its width? (a) 2 cm (b) 4 cm (c) 5 cm (d) 3 cm
  10. 10.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 49 sq cm (d) 12 sq cm
  11. 11.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 225 sq cm (d) 196 sq cm
  12. 12.A rectangle is 14 cm long and 3 cm wide. What is its perimeter? (a) 31 cm (b) 17 cm (c) 34 cm (d) 42 cm
  13. 13.A rectangle is 20 cm long and 6 cm wide. What is its area? (a) 140 sq cm (b) 120 sq cm (c) 26 sq cm (d) 52 sq cm
  14. 14.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 15 cm (b) 4 cm (c) 5 cm (d) 8 cm
  15. 15.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 169 sq cm (c) 26 sq cm (d) 52 sq cm
  16. 16.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 40 sq cm (c) 100 sq cm (d) 20 sq cm
  17. 17.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 19 cm (b) 24 cm (c) 12 cm (d) 35 cm
  18. 18.A rectangle has an area of 50 sq cm and a length of 10 cm. What is its width? (a) 5 cm (b) 40 cm (c) 6 cm (d) 10 cm
  19. 19.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 225 sq cm (d) 256 sq cm
  20. 20.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 16 sq cm (c) 32 sq cm (d) 81 sq cm
  21. 21.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 28 sq cm (b) 20 sq cm (c) 10 sq cm (d) 21 sq cm
  22. 22.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) 10 cm (d) 5 cm
  23. 23.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 33 sq cm (b) 26 sq cm (c) 13 sq cm (d) 22 sq cm
  24. 24.A rectangle is 19 cm long and 6 cm wide. What is its area? (a) 25 sq cm (b) 133 sq cm (c) 114 sq cm (d) 50 sq cm
  25. 25.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 169 sq cm (d) 144 sq cm
  26. 26.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 121 sq cm (c) 22 sq cm (d) 144 sq cm
  27. 27.A rectangle is 16 cm long and 2 cm wide. What is its perimeter? (a) 36 cm (b) 18 cm (c) 32 cm (d) 34 cm
  28. 28.A rectangle is 19 cm long and 3 cm wide. What is its perimeter? (a) 57 cm (b) 41 cm (c) 22 cm (d) 44 cm
  29. 29.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 140 cm (b) 12 cm (c) 22 cm (d) 11 cm
  30. 30.A rectangle is 19 cm long and 10 cm wide. What is its perimeter? (a) 190 cm (b) 29 cm (c) 48 cm (d) 58 cm
  31. 31.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 30 cm (b) 11 cm (c) 22 cm (d) 17 cm
  32. 32.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 10 sq cm (b) 24 sq cm (c) 20 sq cm (d) 16 sq cm
  33. 33.A rectangle is 14 cm long and 2 cm wide. What is its perimeter? (a) 28 cm (b) 32 cm (c) 30 cm (d) 16 cm
  34. 34.A rectangle has an area of 24 sq cm and a length of 6 cm. What is its width? (a) 5 cm (b) 8 cm (c) 4 cm (d) 18 cm
  35. 35.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
  36. 36.A rectangle has an area of 140 sq cm and a length of 20 cm. What is its width? (a) 120 cm (b) 8 cm (c) 14 cm (d) 7 cm
  37. 37.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 18 sq cm (c) 27 sq cm (d) 11 sq cm
  38. 38.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 64 sq cm (d) 49 sq cm
  39. 39.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 54 sq cm (b) 45 sq cm (c) 28 sq cm (d) 14 sq cm
  40. 40.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 56 sq cm (b) 64 sq cm (c) 15 sq cm (d) 30 sq cm

Answer key

  1. 90 sq cm
  2. 5 cm
  3. 18 sq cm
  4. 32 sq cm
  5. 80 sq cm
  6. 11 cm
  7. 10 cm
  8. 72 sq cm
  9. 2 cm
  10. 36 sq cm
  11. 196 sq cm
  12. 34 cm
  13. 120 sq cm
  14. 4 cm
  15. 169 sq cm
  16. 100 sq cm
  17. 24 cm
  18. 5 cm
  19. 225 sq cm
  20. 64 sq cm
  21. 21 sq cm
  22. 5 cm
  23. 22 sq cm
  24. 114 sq cm
  25. 144 sq cm
  26. 121 sq cm
  27. 36 cm
  28. 44 cm
  29. 11 cm
  30. 58 cm
  31. 22 cm
  32. 16 sq cm
  33. 32 cm
  34. 4 cm
  35. 52 cm
  36. 7 cm
  37. 18 sq cm
  38. 49 sq cm
  39. 45 sq cm
  40. 56 sq cm

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