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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 504 · 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 72 sq cm and a length of 9 cm. What is its width? (a) 16 cm (b) 9 cm (c) 63 cm (d) 8 cm
  2. 2.A rectangle is 11 cm long and 7 cm wide. What is its perimeter? (a) 77 cm (b) 29 cm (c) 36 cm (d) 18 cm
  3. 3.A rectangle is 17 cm long and 11 cm wide. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 187 sq cm (d) 204 sq cm
  4. 4.A rectangle has an area of 30 sq cm and a length of 10 cm. What is its width? (a) 4 cm (b) 6 cm (c) 3 cm (d) 20 cm
  5. 5.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 8 cm (b) 12 cm (c) 14 cm (d) 16 cm
  6. 6.A rectangle is 15 cm long and 4 cm wide. What is its perimeter? (a) 60 cm (b) 38 cm (c) 34 cm (d) 19 cm
  7. 7.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 19 sq cm (b) 9 sq cm (c) 18 sq cm (d) 24 sq cm
  8. 8.A rectangle is 11 cm long and 7 cm wide. What is its area? (a) 77 sq cm (b) 18 sq cm (c) 36 sq cm (d) 88 sq cm
  9. 9.A rectangle has an area of 95 sq cm and a length of 19 cm. What is its width? (a) 10 cm (b) 76 cm (c) 5 cm (d) 6 cm
  10. 10.A rectangle is 17 cm long and 5 cm wide. What is its area? (a) 102 sq cm (b) 22 sq cm (c) 85 sq cm (d) 44 sq cm
  11. 11.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 30 sq cm (c) 48 sq cm (d) 15 sq cm
  12. 12.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 20 sq cm (c) 10 sq cm (d) 36 sq cm
  13. 13.A rectangle is 11 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 15 sq cm (c) 55 sq cm (d) 44 sq cm
  14. 14.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its width? (a) 6 cm (b) 3 cm (c) 14 cm (d) 4 cm
  15. 15.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 144 sq cm (c) 169 sq cm (d) 24 sq cm
  16. 16.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 16 cm (c) 48 cm (d) 32 cm
  17. 17.A rectangle has an area of 96 sq cm and a length of 12 cm. What is its width? (a) 8 cm (b) 16 cm (c) 84 cm (d) 9 cm
  18. 18.A rectangle has an area of 104 sq cm and a length of 13 cm. What is its width? (a) 91 cm (b) 16 cm (c) 9 cm (d) 8 cm
  19. 19.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 12 cm (b) 24 cm (c) 220 cm (d) 13 cm
  20. 20.A rectangle has an area of 190 sq cm and a length of 19 cm. What is its width? (a) 171 cm (b) 11 cm (c) 20 cm (d) 10 cm
  21. 21.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its width? (a) 6 cm (b) 4 cm (c) 3 cm (d) 10 cm
  22. 22.A rectangle is 16 cm long and 12 cm wide. What is its perimeter? (a) 44 cm (b) 192 cm (c) 28 cm (d) 56 cm
  23. 23.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 63 cm (b) 25 cm (c) 16 cm (d) 32 cm
  24. 24.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 20 cm (c) 24 cm (d) 12 cm
  25. 25.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 85 sq cm (b) 21 sq cm (c) 68 sq cm (d) 42 sq cm
  26. 26.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 23 cm (b) 30 cm (c) 26 cm (d) 13 cm
  27. 27.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 90 sq cm (d) 80 sq cm
  28. 28.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 121 sq cm (d) 100 sq cm
  29. 29.A rectangle is 20 cm long and 6 cm wide. What is its area? (a) 140 sq cm (b) 52 sq cm (c) 26 sq cm (d) 120 sq cm
  30. 30.A rectangle is 12 cm long and 6 cm wide. What is its area? (a) 84 sq cm (b) 72 sq cm (c) 18 sq cm (d) 36 sq cm
  31. 31.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
  32. 32.A rectangle is 20 cm long and 9 cm wide. What is its perimeter? (a) 29 cm (b) 49 cm (c) 180 cm (d) 58 cm
  33. 33.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 24 sq cm (c) 20 sq cm (d) 10 sq cm
  34. 34.A rectangle is 15 cm long and 12 cm wide. What is its area? (a) 27 sq cm (b) 195 sq cm (c) 54 sq cm (d) 180 sq cm
  35. 35.A rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 8 cm (b) 6 cm (c) 4 cm (d) 3 cm
  36. 36.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 81 sq cm (b) 72 sq cm (c) 34 sq cm (d) 17 sq cm
  37. 37.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 32 sq cm (c) 64 sq cm (d) 16 sq cm
  38. 38.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 11 cm (c) 24 cm (d) 22 cm
  39. 39.A rectangle has an area of 96 sq cm and a length of 16 cm. What is its width? (a) 12 cm (b) 7 cm (c) 80 cm (d) 6 cm
  40. 40.A rectangle is 14 cm long and 2 cm wide. What is its area? (a) 42 sq cm (b) 28 sq cm (c) 32 sq cm (d) 16 sq cm

Answer key

  1. 8 cm
  2. 36 cm
  3. 187 sq cm
  4. 3 cm
  5. 16 cm
  6. 38 cm
  7. 18 sq cm
  8. 77 sq cm
  9. 5 cm
  10. 85 sq cm
  11. 36 sq cm
  12. 25 sq cm
  13. 44 sq cm
  14. 3 cm
  15. 144 sq cm
  16. 32 cm
  17. 8 cm
  18. 8 cm
  19. 12 cm
  20. 10 cm
  21. 3 cm
  22. 56 cm
  23. 32 cm
  24. 24 cm
  25. 68 sq cm
  26. 26 cm
  27. 80 sq cm
  28. 100 sq cm
  29. 120 sq cm
  30. 72 sq cm
  31. 49 sq cm
  32. 58 cm
  33. 24 sq cm
  34. 180 sq cm
  35. 3 cm
  36. 72 sq cm
  37. 64 sq cm
  38. 22 cm
  39. 6 cm
  40. 28 sq cm

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