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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 958 · 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 16 cm long and 3 cm wide. What is its area? (a) 48 sq cm (b) 38 sq cm (c) 19 sq cm (d) 64 sq cm
  2. 2.A rectangle has an area of 32 sq cm and a length of 8 cm. What is its width? (a) 5 cm (b) 24 cm (c) 8 cm (d) 4 cm
  3. 3.A rectangle is 18 cm long and 2 cm wide. What is its perimeter? (a) 38 cm (b) 36 cm (c) 20 cm (d) 40 cm
  4. 4.A rectangle is 20 cm long and 5 cm wide. What is its area? (a) 50 sq cm (b) 25 sq cm (c) 100 sq cm (d) 120 sq cm
  5. 5.A rectangle is 19 cm long and 7 cm wide. What is its perimeter? (a) 26 cm (b) 45 cm (c) 133 cm (d) 52 cm
  6. 6.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 52 sq cm (c) 169 sq cm (d) 26 sq cm
  7. 7.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 11 sq cm (b) 22 sq cm (c) 24 sq cm (d) 32 sq cm
  8. 8.A rectangle is 13 cm long and 9 cm wide. What is its area? (a) 130 sq cm (b) 44 sq cm (c) 117 sq cm (d) 22 sq cm
  9. 9.A rectangle has an area of 68 sq cm and a length of 17 cm. What is its width? (a) 5 cm (b) 51 cm (c) 4 cm (d) 8 cm
  10. 10.A rectangle is 16 cm long and 11 cm wide. What is its perimeter? (a) 176 cm (b) 54 cm (c) 27 cm (d) 43 cm
  11. 11.A rectangle has an area of 24 sq cm and a length of 12 cm. What is its width? (a) 2 cm (b) 3 cm (c) 4 cm (d) 12 cm
  12. 12.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
  13. 13.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 81 sq cm (d) 64 sq cm
  14. 14.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 48 cm (b) 32 cm (c) 28 cm (d) 16 cm
  15. 15.A rectangle has an area of 60 sq cm and a length of 15 cm. What is its width? (a) 8 cm (b) 5 cm (c) 4 cm (d) 45 cm
  16. 16.A rectangle is 13 cm long and 9 cm wide. What is its perimeter? (a) 117 cm (b) 44 cm (c) 35 cm (d) 22 cm
  17. 17.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 16 cm (b) 98 cm (c) 9 cm (d) 8 cm
  18. 18.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 24 cm (b) 187 cm (c) 12 cm (d) 13 cm
  19. 19.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 10 cm (b) 117 cm (c) 11 cm (d) 20 cm
  20. 20.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 12 sq cm (c) 8 sq cm (d) 18 sq cm
  21. 21.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 26 sq cm (b) 13 sq cm (c) 45 sq cm (d) 36 sq cm
  22. 22.A rectangle is 17 cm long and 12 cm wide. What is its area? (a) 204 sq cm (b) 29 sq cm (c) 58 sq cm (d) 221 sq cm
  23. 23.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 209 cm (b) 12 cm (c) 24 cm (d) 13 cm
  24. 24.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 9 cm (c) 18 cm (d) 16 cm
  25. 25.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 81 sq cm (c) 100 sq cm (d) 18 sq cm
  26. 26.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 20 sq cm (c) 25 sq cm (d) 10 sq cm
  27. 27.A rectangle is 20 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 60 sq cm (c) 44 sq cm (d) 40 sq cm
  28. 28.A rectangle is 16 cm long and 10 cm wide. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 160 sq cm (d) 176 sq cm
  29. 29.A rectangle is 13 cm long and 2 cm wide. What is its perimeter? (a) 15 cm (b) 28 cm (c) 26 cm (d) 30 cm
  30. 30.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 100 sq cm (c) 40 sq cm (d) 20 sq cm
  31. 31.A rectangle is 14 cm long and 5 cm wide. What is its perimeter? (a) 70 cm (b) 19 cm (c) 33 cm (d) 38 cm
  32. 32.A rectangle is 15 cm long and 9 cm wide. What is its area? (a) 135 sq cm (b) 150 sq cm (c) 48 sq cm (d) 24 sq cm
  33. 33.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 27 sq cm (b) 11 sq cm (c) 18 sq cm (d) 22 sq cm
  34. 34.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 8 cm (b) 16 cm (c) 14 cm (d) 12 cm
  35. 35.A rectangle is 18 cm long and 11 cm wide. What is its perimeter? (a) 29 cm (b) 47 cm (c) 58 cm (d) 198 cm
  36. 36.A rectangle is 19 cm long and 3 cm wide. What is its perimeter? (a) 57 cm (b) 44 cm (c) 22 cm (d) 41 cm
  37. 37.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 64 sq cm (c) 14 sq cm (d) 49 sq cm
  38. 38.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 15 sq cm (b) 48 sq cm (c) 30 sq cm (d) 36 sq cm
  39. 39.A rectangle has an area of 80 sq cm and a length of 10 cm. What is its width? (a) 16 cm (b) 8 cm (c) 70 cm (d) 9 cm
  40. 40.A rectangle has an area of 40 sq cm and a length of 8 cm. What is its width? (a) 6 cm (b) 32 cm (c) 5 cm (d) 10 cm

Answer key

  1. 48 sq cm
  2. 4 cm
  3. 40 cm
  4. 100 sq cm
  5. 52 cm
  6. 169 sq cm
  7. 24 sq cm
  8. 117 sq cm
  9. 4 cm
  10. 54 cm
  11. 2 cm
  12. 36 sq cm
  13. 64 sq cm
  14. 32 cm
  15. 4 cm
  16. 44 cm
  17. 8 cm
  18. 12 cm
  19. 10 cm
  20. 12 sq cm
  21. 36 sq cm
  22. 204 sq cm
  23. 12 cm
  24. 18 cm
  25. 81 sq cm
  26. 25 sq cm
  27. 40 sq cm
  28. 160 sq cm
  29. 30 cm
  30. 100 sq cm
  31. 38 cm
  32. 135 sq cm
  33. 18 sq cm
  34. 16 cm
  35. 58 cm
  36. 44 cm
  37. 49 sq cm
  38. 36 sq cm
  39. 8 cm
  40. 5 cm

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