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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 304 · 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 14 cm long and 2 cm wide. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 42 sq cm (d) 28 sq cm
  2. 2.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 14 cm (b) 24 cm (c) 40 cm (d) 28 cm
  3. 3.A rectangle is 18 cm long and 2 cm wide. What is its area? (a) 40 sq cm (b) 54 sq cm (c) 36 sq cm (d) 20 sq cm
  4. 4.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 18 sq cm (c) 16 sq cm (d) 8 sq cm
  5. 5.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 198 cm (b) 24 cm (c) 12 cm (d) 13 cm
  6. 6.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 42 sq cm (b) 24 sq cm (c) 12 sq cm (d) 35 sq cm
  7. 7.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 16 cm (b) 119 cm (c) 8 cm (d) 9 cm
  8. 8.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 3 cm (b) 6 cm (c) 12 cm (d) 4 cm
  9. 9.A rectangle has an area of 96 sq cm and a length of 12 cm. What is its width? (a) 8 cm (b) 9 cm (c) 16 cm (d) 84 cm
  10. 10.A rectangle has an area of 90 sq cm and a length of 18 cm. What is its width? (a) 10 cm (b) 5 cm (c) 72 cm (d) 6 cm
  11. 11.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 13 cm (b) 30 cm (c) 23 cm (d) 26 cm
  12. 12.A rectangle is 16 cm long and 12 cm wide. What is its perimeter? (a) 192 cm (b) 56 cm (c) 28 cm (d) 44 cm
  13. 13.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 17 cm (b) 10 cm (c) 20 cm (d) 21 cm
  14. 14.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 22 cm (b) 19 cm (c) 11 cm (d) 24 cm
  15. 15.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 196 sq cm (d) 225 sq cm
  16. 16.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 32 cm (b) 60 cm (c) 16 cm (d) 26 cm
  17. 17.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 26 sq cm (c) 52 sq cm (d) 196 sq cm
  18. 18.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 17 sq cm (b) 72 sq cm (c) 34 sq cm (d) 81 sq cm
  19. 19.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 49 sq cm (c) 36 sq cm (d) 12 sq cm
  20. 20.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 36 cm (b) 33 cm (c) 45 cm (d) 18 cm
  21. 21.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 21 cm (b) 26 cm (c) 40 cm (d) 13 cm
  22. 22.A rectangle is 13 cm long and 12 cm wide. What is its area? (a) 169 sq cm (b) 25 sq cm (c) 50 sq cm (d) 156 sq cm
  23. 23.A rectangle is 14 cm long and 4 cm wide. What is its area? (a) 18 sq cm (b) 70 sq cm (c) 36 sq cm (d) 56 sq cm
  24. 24.A rectangle is 15 cm long and 8 cm wide. What is its perimeter? (a) 23 cm (b) 120 cm (c) 38 cm (d) 46 cm
  25. 25.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 16 sq cm (b) 60 sq cm (c) 32 sq cm (d) 70 sq cm
  26. 26.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 20 sq cm (c) 40 sq cm (d) 100 sq cm
  27. 27.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 18 sq cm (c) 81 sq cm (d) 36 sq cm
  28. 28.A rectangle is 15 cm long and 11 cm wide. What is its perimeter? (a) 26 cm (b) 41 cm (c) 52 cm (d) 165 cm
  29. 29.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 14 sq cm (b) 21 sq cm (c) 9 sq cm (d) 18 sq cm
  30. 30.A rectangle is 18 cm long and 10 cm wide. What is its perimeter? (a) 46 cm (b) 180 cm (c) 28 cm (d) 56 cm
  31. 31.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 48 cm (b) 28 cm (c) 22 cm (d) 14 cm
  32. 32.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 42 sq cm (b) 13 sq cm (c) 26 sq cm (d) 49 sq cm
  33. 33.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 10 cm (b) 11 cm (c) 135 cm (d) 20 cm
  34. 34.A rectangle has an area of 32 sq cm and a length of 16 cm. What is its width? (a) 4 cm (b) 3 cm (c) 2 cm (d) 16 cm
  35. 35.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 40 sq cm (b) 13 sq cm (c) 26 sq cm (d) 30 sq cm
  36. 36.A rectangle has an area of 98 sq cm and a length of 14 cm. What is its width? (a) 8 cm (b) 14 cm (c) 84 cm (d) 7 cm
  37. 37.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 45 sq cm (b) 28 sq cm (c) 54 sq cm (d) 14 sq cm
  38. 38.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 9 cm (c) 18 cm (d) 15 cm
  39. 39.A rectangle has an area of 91 sq cm and a length of 13 cm. What is its width? (a) 7 cm (b) 14 cm (c) 8 cm (d) 78 cm
  40. 40.A rectangle has an area of 26 sq cm and a length of 13 cm. What is its width? (a) 4 cm (b) 2 cm (c) 13 cm (d) 3 cm

Answer key

  1. 28 sq cm
  2. 28 cm
  3. 36 sq cm
  4. 12 sq cm
  5. 12 cm
  6. 35 sq cm
  7. 8 cm
  8. 3 cm
  9. 8 cm
  10. 5 cm
  11. 26 cm
  12. 56 cm
  13. 20 cm
  14. 22 cm
  15. 196 sq cm
  16. 32 cm
  17. 169 sq cm
  18. 72 sq cm
  19. 36 sq cm
  20. 36 cm
  21. 26 cm
  22. 156 sq cm
  23. 56 sq cm
  24. 46 cm
  25. 60 sq cm
  26. 100 sq cm
  27. 81 sq cm
  28. 52 cm
  29. 14 sq cm
  30. 56 cm
  31. 28 cm
  32. 42 sq cm
  33. 10 cm
  34. 2 cm
  35. 30 sq cm
  36. 7 cm
  37. 45 sq cm
  38. 18 cm
  39. 7 cm
  40. 2 cm

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