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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 215 · 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 13 cm long and 6 cm wide. What is its area? (a) 91 sq cm (b) 19 sq cm (c) 78 sq cm (d) 38 sq cm
  2. 2.A rectangle has an area of 128 sq cm and a length of 16 cm. What is its width? (a) 112 cm (b) 8 cm (c) 9 cm (d) 16 cm
  3. 3.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 18 cm (c) 9 cm (d) 16 cm
  4. 4.A rectangle has an area of 40 sq cm and a length of 8 cm. What is its width? (a) 32 cm (b) 5 cm (c) 6 cm (d) 10 cm
  5. 5.A rectangle has an area of 50 sq cm and a length of 10 cm. What is its width? (a) 5 cm (b) 6 cm (c) 10 cm (d) 40 cm
  6. 6.A rectangle is 12 cm long and 8 cm wide. What is its area? (a) 108 sq cm (b) 96 sq cm (c) 20 sq cm (d) 40 sq cm
  7. 7.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 8 sq cm (c) 12 sq cm (d) 18 sq cm
  8. 8.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 28 cm (b) 14 cm (c) 33 cm (d) 25 cm
  9. 9.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 10 sq cm (c) 25 sq cm (d) 20 sq cm
  10. 10.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 35 cm (b) 12 cm (c) 19 cm (d) 24 cm
  11. 11.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 72 cm (b) 26 cm (c) 17 cm (d) 34 cm
  12. 12.A rectangle is 10 cm long and 7 cm wide. What is its perimeter? (a) 70 cm (b) 17 cm (c) 27 cm (d) 34 cm
  13. 13.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 24 sq cm (d) 30 sq cm
  14. 14.A rectangle is 18 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 38 cm (c) 36 cm (d) 40 cm
  15. 15.A rectangle is 13 cm long and 2 cm wide. What is its perimeter? (a) 26 cm (b) 30 cm (c) 28 cm (d) 15 cm
  16. 16.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 21 cm (b) 8 cm (c) 4 cm (d) 5 cm
  17. 17.A rectangle is 13 cm long and 9 cm wide. What is its area? (a) 130 sq cm (b) 117 sq cm (c) 22 sq cm (d) 44 sq cm
  18. 18.A rectangle is 20 cm long and 7 cm wide. What is its perimeter? (a) 140 cm (b) 54 cm (c) 47 cm (d) 27 cm
  19. 19.A rectangle is 14 cm long and 11 cm wide. What is its perimeter? (a) 154 cm (b) 50 cm (c) 39 cm (d) 25 cm
  20. 20.A rectangle has an area of 112 sq cm and a length of 16 cm. What is its width? (a) 14 cm (b) 8 cm (c) 96 cm (d) 7 cm
  21. 21.A rectangle is 15 cm long and 11 cm wide. What is its area? (a) 180 sq cm (b) 52 sq cm (c) 165 sq cm (d) 26 sq cm
  22. 22.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its width? (a) 7 cm (b) 12 cm (c) 35 cm (d) 6 cm
  23. 23.A rectangle has an area of 119 sq cm and a length of 17 cm. What is its width? (a) 8 cm (b) 14 cm (c) 7 cm (d) 102 cm
  24. 24.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 256 sq cm (c) 30 sq cm (d) 225 sq cm
  25. 25.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 121 sq cm (c) 144 sq cm (d) 44 sq cm
  26. 26.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 27 sq cm (b) 24 sq cm (c) 12 sq cm (d) 36 sq cm
  27. 27.A rectangle is 11 cm long and 9 cm wide. What is its perimeter? (a) 20 cm (b) 99 cm (c) 31 cm (d) 40 cm
  28. 28.A rectangle is 11 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 55 sq cm (c) 44 sq cm (d) 15 sq cm
  29. 29.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 100 sq cm (d) 81 sq cm
  30. 30.A rectangle is 14 cm long and 12 cm wide. What is its area? (a) 168 sq cm (b) 26 sq cm (c) 52 sq cm (d) 182 sq cm
  31. 31.A rectangle is 13 cm long and 3 cm wide. What is its perimeter? (a) 32 cm (b) 39 cm (c) 16 cm (d) 29 cm
  32. 32.A rectangle is 20 cm long and 3 cm wide. What is its area? (a) 23 sq cm (b) 46 sq cm (c) 80 sq cm (d) 60 sq cm
  33. 33.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 10 cm (b) 96 cm (c) 9 cm (d) 18 cm
  34. 34.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 24 cm (b) 19 cm (c) 11 cm (d) 22 cm
  35. 35.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 18 cm (c) 22 cm (d) 11 cm
  36. 36.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 48 sq cm (b) 56 sq cm (c) 28 sq cm (d) 14 sq cm
  37. 37.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 56 sq cm (c) 196 sq cm (d) 28 sq cm
  38. 38.A rectangle is 11 cm long and 8 cm wide. What is its perimeter? (a) 30 cm (b) 19 cm (c) 38 cm (d) 88 cm
  39. 39.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 132 sq cm (b) 44 sq cm (c) 120 sq cm (d) 22 sq cm
  40. 40.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

Answer key

  1. 78 sq cm
  2. 8 cm
  3. 18 cm
  4. 5 cm
  5. 5 cm
  6. 96 sq cm
  7. 12 sq cm
  8. 28 cm
  9. 25 sq cm
  10. 24 cm
  11. 34 cm
  12. 34 cm
  13. 24 sq cm
  14. 40 cm
  15. 30 cm
  16. 4 cm
  17. 117 sq cm
  18. 54 cm
  19. 50 cm
  20. 7 cm
  21. 165 sq cm
  22. 6 cm
  23. 7 cm
  24. 225 sq cm
  25. 121 sq cm
  26. 27 sq cm
  27. 40 cm
  28. 44 sq cm
  29. 81 sq cm
  30. 168 sq cm
  31. 32 cm
  32. 60 sq cm
  33. 9 cm
  34. 22 cm
  35. 22 cm
  36. 48 sq cm
  37. 196 sq cm
  38. 38 cm
  39. 120 sq cm
  40. 42 sq cm

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