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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 524 · 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) 64 sq cm (b) 38 sq cm (c) 48 sq cm (d) 19 sq cm
  2. 2.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 24 cm (b) 165 cm (c) 12 cm (d) 13 cm
  3. 3.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 15 sq cm (c) 48 sq cm (d) 30 sq cm
  4. 4.A rectangle is 20 cm long and 8 cm wide. What is its perimeter? (a) 56 cm (b) 160 cm (c) 28 cm (d) 48 cm
  5. 5.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 121 sq cm (c) 44 sq cm (d) 22 sq cm
  6. 6.A rectangle is 12 cm long and 6 cm wide. What is its area? (a) 18 sq cm (b) 72 sq cm (c) 84 sq cm (d) 36 sq cm
  7. 7.A rectangle is 17 cm long and 6 cm wide. What is its area? (a) 46 sq cm (b) 23 sq cm (c) 119 sq cm (d) 102 sq cm
  8. 8.A rectangle is 20 cm long and 8 cm wide. What is its area? (a) 56 sq cm (b) 160 sq cm (c) 28 sq cm (d) 180 sq cm
  9. 9.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 25 sq cm (c) 36 sq cm (d) 10 sq cm
  10. 10.A rectangle is 14 cm long and 8 cm wide. What is its perimeter? (a) 22 cm (b) 44 cm (c) 36 cm (d) 112 cm
  11. 11.A rectangle is 13 cm long and 2 cm wide. What is its perimeter? (a) 30 cm (b) 15 cm (c) 26 cm (d) 28 cm
  12. 12.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 30 sq cm (c) 20 sq cm (d) 12 sq cm
  13. 13.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 70 sq cm (b) 34 sq cm (c) 17 sq cm (d) 80 sq cm
  14. 14.A rectangle is 18 cm long and 6 cm wide. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 108 sq cm (d) 126 sq cm
  15. 15.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 154 cm (c) 13 cm (d) 24 cm
  16. 16.A rectangle has an area of 54 sq cm and a length of 9 cm. What is its width? (a) 7 cm (b) 6 cm (c) 45 cm (d) 12 cm
  17. 17.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
  18. 18.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 100 sq cm (c) 18 sq cm (d) 36 sq cm
  19. 19.A rectangle is 14 cm long and 8 cm wide. What is its area? (a) 112 sq cm (b) 44 sq cm (c) 22 sq cm (d) 126 sq cm
  20. 20.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 10 cm (b) 20 cm (c) 24 cm (d) 16 cm
  21. 21.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 10 sq cm (c) 20 sq cm (d) 24 sq cm
  22. 22.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
  23. 23.A rectangle is 20 cm long and 12 cm wide. What is its area? (a) 64 sq cm (b) 240 sq cm (c) 32 sq cm (d) 260 sq cm
  24. 24.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 12 sq cm (d) 27 sq cm
  25. 25.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 28 sq cm (b) 20 sq cm (c) 21 sq cm (d) 10 sq cm
  26. 26.A rectangle is 14 cm long and 5 cm wide. What is its perimeter? (a) 38 cm (b) 33 cm (c) 70 cm (d) 19 cm
  27. 27.A rectangle is 20 cm long and 4 cm wide. What is its area? (a) 100 sq cm (b) 48 sq cm (c) 24 sq cm (d) 80 sq cm
  28. 28.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 32 cm (c) 12 cm (d) 24 cm
  29. 29.A rectangle is 19 cm long and 4 cm wide. What is its perimeter? (a) 23 cm (b) 76 cm (c) 46 cm (d) 42 cm
  30. 30.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 35 sq cm (c) 12 sq cm (d) 42 sq cm
  31. 31.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 24 sq cm (c) 48 sq cm (d) 144 sq cm
  32. 32.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 8 cm (b) 48 cm (c) 7 cm (d) 14 cm
  33. 33.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its width? (a) 7 cm (b) 14 cm (c) 8 cm (d) 108 cm
  34. 34.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 42 sq cm (b) 17 sq cm (c) 34 sq cm (d) 56 sq cm
  35. 35.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 45 sq cm (b) 54 sq cm (c) 14 sq cm (d) 28 sq cm
  36. 36.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 24 sq cm (c) 10 sq cm (d) 20 sq cm
  37. 37.A rectangle has an area of 24 sq cm and a length of 6 cm. What is its width? (a) 4 cm (b) 8 cm (c) 5 cm (d) 18 cm
  38. 38.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
  39. 39.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 119 cm (b) 16 cm (c) 8 cm (d) 9 cm
  40. 40.A rectangle has an area of 96 sq cm and a length of 16 cm. What is its width? (a) 80 cm (b) 6 cm (c) 7 cm (d) 12 cm

Answer key

  1. 48 sq cm
  2. 12 cm
  3. 36 sq cm
  4. 56 cm
  5. 121 sq cm
  6. 72 sq cm
  7. 102 sq cm
  8. 160 sq cm
  9. 25 sq cm
  10. 44 cm
  11. 30 cm
  12. 20 sq cm
  13. 70 sq cm
  14. 108 sq cm
  15. 12 cm
  16. 6 cm
  17. 26 cm
  18. 81 sq cm
  19. 112 sq cm
  20. 20 cm
  21. 16 sq cm
  22. 36 sq cm
  23. 240 sq cm
  24. 27 sq cm
  25. 21 sq cm
  26. 38 cm
  27. 80 sq cm
  28. 24 cm
  29. 46 cm
  30. 35 sq cm
  31. 144 sq cm
  32. 7 cm
  33. 7 cm
  34. 42 sq cm
  35. 45 sq cm
  36. 24 sq cm
  37. 4 cm
  38. 52 cm
  39. 8 cm
  40. 6 cm

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