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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 316 · 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 84 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 6 cm (c) 70 cm (d) 7 cm
  2. 2.A rectangle is 11 cm long and 6 cm wide. What is its area? (a) 17 sq cm (b) 34 sq cm (c) 77 sq cm (d) 66 sq cm
  3. 3.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its width? (a) 28 cm (b) 5 cm (c) 6 cm (d) 10 cm
  4. 4.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 42 sq cm (b) 56 sq cm (c) 34 sq cm (d) 17 sq cm
  5. 5.A rectangle is 17 cm long and 4 cm wide. What is its perimeter? (a) 21 cm (b) 68 cm (c) 38 cm (d) 42 cm
  6. 6.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
  7. 7.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 81 sq cm (d) 64 sq cm
  8. 8.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 24 sq cm (c) 10 sq cm (d) 30 sq cm
  9. 9.A rectangle is 20 cm long and 5 cm wide. What is its perimeter? (a) 45 cm (b) 50 cm (c) 25 cm (d) 100 cm
  10. 10.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 11 cm (c) 18 cm (d) 22 cm
  11. 11.A rectangle has an area of 84 sq cm and a length of 12 cm. What is its width? (a) 7 cm (b) 14 cm (c) 8 cm (d) 72 cm
  12. 12.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 12 cm (b) 6 cm (c) 4 cm (d) 3 cm
  13. 13.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 80 sq cm (d) 90 sq cm
  14. 14.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 30 sq cm (c) 60 sq cm (d) 225 sq cm
  15. 15.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 24 sq cm (c) 12 sq cm (d) 36 sq cm
  16. 16.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its width? (a) 10 cm (b) 5 cm (c) 6 cm (d) 24 cm
  17. 17.A rectangle is 16 cm long and 5 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 80 sq cm (d) 96 sq cm
  18. 18.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 17 cm (c) 20 cm (d) 10 cm
  19. 19.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 100 sq cm (b) 90 sq cm (c) 19 sq cm (d) 38 sq cm
  20. 20.A rectangle is 17 cm long and 2 cm wide. What is its area? (a) 34 sq cm (b) 51 sq cm (c) 38 sq cm (d) 19 sq cm
  21. 21.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 170 cm (b) 12 cm (c) 11 cm (d) 22 cm
  22. 22.A rectangle is 20 cm long and 3 cm wide. What is its perimeter? (a) 60 cm (b) 23 cm (c) 43 cm (d) 46 cm
  23. 23.A rectangle is 12 cm long and 11 cm wide. What is its perimeter? (a) 46 cm (b) 35 cm (c) 23 cm (d) 132 cm
  24. 24.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 30 sq cm (c) 36 sq cm (d) 11 sq cm
  25. 25.A rectangle is 13 cm long and 4 cm wide. What is its perimeter? (a) 52 cm (b) 17 cm (c) 34 cm (d) 30 cm
  26. 26.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 7 cm (b) 14 cm (c) 60 cm (d) 8 cm
  27. 27.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 16 cm (b) 10 cm (c) 20 cm (d) 24 cm
  28. 28.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 40 cm (b) 28 cm (c) 14 cm (d) 24 cm
  29. 29.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
  30. 30.A rectangle is 19 cm long and 5 cm wide. What is its perimeter? (a) 24 cm (b) 95 cm (c) 48 cm (d) 43 cm
  31. 31.A rectangle has an area of 28 sq cm and a length of 14 cm. What is its width? (a) 4 cm (b) 3 cm (c) 14 cm (d) 2 cm
  32. 32.A rectangle is 12 cm long and 5 cm wide. What is its perimeter? (a) 34 cm (b) 60 cm (c) 17 cm (d) 29 cm
  33. 33.A rectangle has an area of 152 sq cm and a length of 19 cm. What is its width? (a) 16 cm (b) 9 cm (c) 133 cm (d) 8 cm
  34. 34.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 225 sq cm (c) 196 sq cm (d) 28 sq cm
  35. 35.A rectangle is 11 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 55 sq cm (c) 44 sq cm (d) 15 sq cm
  36. 36.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 45 sq cm (b) 60 sq cm (c) 18 sq cm (d) 36 sq cm
  37. 37.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 52 sq cm (c) 26 sq cm (d) 169 sq cm
  38. 38.A rectangle has an area of 190 sq cm and a length of 19 cm. What is its width? (a) 20 cm (b) 10 cm (c) 11 cm (d) 171 cm
  39. 39.A rectangle is 17 cm long and 11 cm wide. What is its area? (a) 56 sq cm (b) 204 sq cm (c) 187 sq cm (d) 28 sq cm
  40. 40.A rectangle is 15 cm long and 12 cm wide. What is its area? (a) 195 sq cm (b) 27 sq cm (c) 54 sq cm (d) 180 sq cm

Answer key

  1. 6 cm
  2. 66 sq cm
  3. 5 cm
  4. 42 sq cm
  5. 42 cm
  6. 52 cm
  7. 64 sq cm
  8. 24 sq cm
  9. 50 cm
  10. 22 cm
  11. 7 cm
  12. 3 cm
  13. 80 sq cm
  14. 225 sq cm
  15. 36 sq cm
  16. 5 cm
  17. 80 sq cm
  18. 20 cm
  19. 90 sq cm
  20. 34 sq cm
  21. 11 cm
  22. 46 cm
  23. 46 cm
  24. 30 sq cm
  25. 34 cm
  26. 7 cm
  27. 20 cm
  28. 28 cm
  29. 49 sq cm
  30. 48 cm
  31. 2 cm
  32. 34 cm
  33. 8 cm
  34. 196 sq cm
  35. 44 sq cm
  36. 45 sq cm
  37. 169 sq cm
  38. 10 cm
  39. 187 sq cm
  40. 180 sq cm

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