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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 365 · 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 15 cm long and 8 cm wide. What is its area? (a) 46 sq cm (b) 135 sq cm (c) 23 sq cm (d) 120 sq cm
  2. 2.A rectangle is 16 cm long and 2 cm wide. What is its area? (a) 32 sq cm (b) 48 sq cm (c) 36 sq cm (d) 18 sq cm
  3. 3.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 32 sq cm (c) 11 sq cm (d) 22 sq cm
  4. 4.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 121 sq cm (c) 40 sq cm (d) 100 sq cm
  5. 5.A rectangle is 12 cm long and 8 cm wide. What is its perimeter? (a) 96 cm (b) 20 cm (c) 32 cm (d) 40 cm
  6. 6.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 49 sq cm (c) 12 sq cm (d) 36 sq cm
  7. 7.A rectangle is 16 cm long and 11 cm wide. What is its area? (a) 192 sq cm (b) 176 sq cm (c) 54 sq cm (d) 27 sq cm
  8. 8.A rectangle is 15 cm long and 2 cm wide. What is its area? (a) 30 sq cm (b) 34 sq cm (c) 45 sq cm (d) 17 sq cm
  9. 9.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 52 sq cm (c) 196 sq cm (d) 26 sq cm
  10. 10.A rectangle has an area of 57 sq cm and a length of 19 cm. What is its width? (a) 3 cm (b) 4 cm (c) 38 cm (d) 6 cm
  11. 11.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
  12. 12.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 8 cm (b) 4 cm (c) 21 cm (d) 5 cm
  13. 13.A rectangle is 12 cm long and 3 cm wide. What is its perimeter? (a) 27 cm (b) 30 cm (c) 36 cm (d) 15 cm
  14. 14.A rectangle is 12 cm long and 11 cm wide. What is its area? (a) 23 sq cm (b) 46 sq cm (c) 132 sq cm (d) 144 sq cm
  15. 15.A rectangle has an area of 27 sq cm and a length of 9 cm. What is its width? (a) 6 cm (b) 3 cm (c) 4 cm (d) 18 cm
  16. 16.A rectangle is 17 cm long and 4 cm wide. What is its perimeter? (a) 38 cm (b) 42 cm (c) 68 cm (d) 21 cm
  17. 17.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 100 sq cm (c) 81 sq cm (d) 18 sq cm
  18. 18.A rectangle is 17 cm long and 9 cm wide. What is its perimeter? (a) 26 cm (b) 153 cm (c) 43 cm (d) 52 cm
  19. 19.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 10 sq cm (c) 36 sq cm (d) 20 sq cm
  20. 20.A rectangle is 19 cm long and 4 cm wide. What is its perimeter? (a) 76 cm (b) 42 cm (c) 23 cm (d) 46 cm
  21. 21.A rectangle is 15 cm long and 7 cm wide. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 120 sq cm (d) 105 sq cm
  22. 22.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 49 sq cm (b) 26 sq cm (c) 13 sq cm (d) 42 sq cm
  23. 23.A rectangle has an area of 96 sq cm and a length of 12 cm. What is its width? (a) 16 cm (b) 9 cm (c) 84 cm (d) 8 cm
  24. 24.A rectangle has an area of 6 sq cm and a length of 3 cm. What is its width? (a) 1 cm (b) 3 cm (c) 4 cm (d) 2 cm
  25. 25.A rectangle has an area of 100 sq cm and a length of 20 cm. What is its width? (a) 80 cm (b) 5 cm (c) 6 cm (d) 10 cm
  26. 26.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 10 cm (b) 11 cm (c) 180 cm (d) 20 cm
  27. 27.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 24 sq cm (d) 16 sq cm
  28. 28.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 8 cm (b) 7 cm (c) 14 cm (d) 48 cm
  29. 29.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 22 sq cm (b) 28 sq cm (c) 35 sq cm (d) 11 sq cm
  30. 30.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 11 cm (b) 12 cm (c) 130 cm (d) 22 cm
  31. 31.A rectangle has an area of 48 sq cm and a length of 16 cm. What is its width? (a) 4 cm (b) 32 cm (c) 3 cm (d) 6 cm
  32. 32.A rectangle is 16 cm long and 6 cm wide. What is its area? (a) 96 sq cm (b) 44 sq cm (c) 112 sq cm (d) 22 sq cm
  33. 33.A rectangle is 11 cm long and 7 cm wide. What is its area? (a) 18 sq cm (b) 88 sq cm (c) 36 sq cm (d) 77 sq cm
  34. 34.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 13 sq cm (b) 26 sq cm (c) 45 sq cm (d) 36 sq cm
  35. 35.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 64 sq cm (c) 49 sq cm (d) 28 sq cm
  36. 36.A rectangle has an area of 160 sq cm and a length of 20 cm. What is its width? (a) 16 cm (b) 8 cm (c) 140 cm (d) 9 cm
  37. 37.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 77 cm (b) 16 cm (c) 8 cm (d) 9 cm
  38. 38.A rectangle is 17 cm long and 12 cm wide. What is its area? (a) 58 sq cm (b) 29 sq cm (c) 204 sq cm (d) 221 sq cm
  39. 39.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 144 sq cm (d) 169 sq cm
  40. 40.A rectangle is 18 cm long and 9 cm wide. What is its perimeter? (a) 162 cm (b) 54 cm (c) 27 cm (d) 45 cm

Answer key

  1. 120 sq cm
  2. 32 sq cm
  3. 24 sq cm
  4. 100 sq cm
  5. 40 cm
  6. 36 sq cm
  7. 176 sq cm
  8. 30 sq cm
  9. 169 sq cm
  10. 3 cm
  11. 12 sq cm
  12. 4 cm
  13. 30 cm
  14. 132 sq cm
  15. 3 cm
  16. 42 cm
  17. 81 sq cm
  18. 52 cm
  19. 25 sq cm
  20. 46 cm
  21. 105 sq cm
  22. 42 sq cm
  23. 8 cm
  24. 2 cm
  25. 5 cm
  26. 10 cm
  27. 16 sq cm
  28. 7 cm
  29. 28 sq cm
  30. 11 cm
  31. 3 cm
  32. 96 sq cm
  33. 77 sq cm
  34. 36 sq cm
  35. 49 sq cm
  36. 8 cm
  37. 8 cm
  38. 204 sq cm
  39. 144 sq cm
  40. 54 cm

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