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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 39 · 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 10 cm long and 6 cm wide. What is its area? (a) 70 sq cm (b) 16 sq cm (c) 32 sq cm (d) 60 sq cm
  2. 2.A rectangle is 17 cm long and 5 cm wide. What is its area? (a) 44 sq cm (b) 85 sq cm (c) 22 sq cm (d) 102 sq cm
  3. 3.A rectangle is 14 cm long and 11 cm wide. What is its area? (a) 25 sq cm (b) 154 sq cm (c) 50 sq cm (d) 168 sq cm
  4. 4.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 72 cm (b) 34 cm (c) 26 cm (d) 17 cm
  5. 5.A rectangle has an area of 84 sq cm and a length of 12 cm. What is its width? (a) 72 cm (b) 14 cm (c) 8 cm (d) 7 cm
  6. 6.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 169 sq cm (c) 144 sq cm (d) 24 sq cm
  7. 7.A rectangle is 11 cm long and 7 cm wide. What is its perimeter? (a) 36 cm (b) 77 cm (c) 29 cm (d) 18 cm
  8. 8.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 18 sq cm (b) 24 sq cm (c) 9 sq cm (d) 19 sq cm
  9. 9.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
  10. 10.A rectangle has an area of 32 sq cm and a length of 8 cm. What is its width? (a) 8 cm (b) 5 cm (c) 4 cm (d) 24 cm
  11. 11.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 190 cm (b) 22 cm (c) 12 cm (d) 11 cm
  12. 12.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 17 cm (b) 21 cm (c) 10 cm (d) 20 cm
  13. 13.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 56 sq cm (b) 64 sq cm (c) 30 sq cm (d) 15 sq cm
  14. 14.A rectangle is 15 cm long and 6 cm wide. What is its area? (a) 105 sq cm (b) 42 sq cm (c) 90 sq cm (d) 21 sq cm
  15. 15.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 196 sq cm (c) 56 sq cm (d) 28 sq cm
  16. 16.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 22 cm (c) 12 cm (d) 24 cm
  17. 17.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 36 sq cm (c) 10 sq cm (d) 20 sq cm
  18. 18.A rectangle is 15 cm long and 8 cm wide. What is its perimeter? (a) 38 cm (b) 46 cm (c) 23 cm (d) 120 cm
  19. 19.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 100 sq cm (c) 18 sq cm (d) 81 sq cm
  20. 20.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 64 sq cm (c) 49 sq cm (d) 14 sq cm
  21. 21.A rectangle is 18 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 54 sq cm (d) 36 sq cm
  22. 22.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 81 sq cm (d) 64 sq cm
  23. 23.A rectangle has an area of 135 sq cm and a length of 15 cm. What is its width? (a) 9 cm (b) 120 cm (c) 18 cm (d) 10 cm
  24. 24.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 16 cm (b) 20 cm (c) 24 cm (d) 10 cm
  25. 25.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 225 sq cm (c) 256 sq cm (d) 60 sq cm
  26. 26.A rectangle has an area of 133 sq cm and a length of 19 cm. What is its width? (a) 8 cm (b) 14 cm (c) 7 cm (d) 114 cm
  27. 27.A rectangle has an area of 102 sq cm and a length of 17 cm. What is its width? (a) 7 cm (b) 85 cm (c) 12 cm (d) 6 cm
  28. 28.A rectangle is 14 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 28 sq cm (d) 42 sq cm
  29. 29.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 9 cm (c) 16 cm (d) 14 cm
  30. 30.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 10 cm (b) 9 cm (c) 136 cm (d) 18 cm
  31. 31.A rectangle has an area of 112 sq cm and a length of 16 cm. What is its width? (a) 14 cm (b) 7 cm (c) 96 cm (d) 8 cm
  32. 32.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 15 cm (b) 23 cm (c) 56 cm (d) 30 cm
  33. 33.A rectangle is 19 cm long and 7 cm wide. What is its perimeter? (a) 133 cm (b) 45 cm (c) 52 cm (d) 26 cm
  34. 34.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 144 sq cm (d) 121 sq cm
  35. 35.A rectangle has an area of 144 sq cm and a length of 18 cm. What is its width? (a) 9 cm (b) 126 cm (c) 8 cm (d) 16 cm
  36. 36.A rectangle is 13 cm long and 9 cm wide. What is its perimeter? (a) 22 cm (b) 44 cm (c) 117 cm (d) 35 cm
  37. 37.A rectangle has an area of 105 sq cm and a length of 15 cm. What is its width? (a) 14 cm (b) 8 cm (c) 90 cm (d) 7 cm
  38. 38.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 169 sq cm (c) 52 sq cm (d) 26 sq cm
  39. 39.A rectangle is 17 cm long and 5 cm wide. What is its perimeter? (a) 44 cm (b) 85 cm (c) 22 cm (d) 39 cm
  40. 40.A rectangle is 20 cm long and 7 cm wide. What is its area? (a) 54 sq cm (b) 140 sq cm (c) 160 sq cm (d) 27 sq cm

Answer key

  1. 60 sq cm
  2. 85 sq cm
  3. 154 sq cm
  4. 34 cm
  5. 7 cm
  6. 144 sq cm
  7. 36 cm
  8. 18 sq cm
  9. 10 cm
  10. 4 cm
  11. 11 cm
  12. 20 cm
  13. 56 sq cm
  14. 90 sq cm
  15. 196 sq cm
  16. 24 cm
  17. 25 sq cm
  18. 46 cm
  19. 81 sq cm
  20. 49 sq cm
  21. 36 sq cm
  22. 64 sq cm
  23. 9 cm
  24. 20 cm
  25. 225 sq cm
  26. 7 cm
  27. 6 cm
  28. 28 sq cm
  29. 18 cm
  30. 9 cm
  31. 7 cm
  32. 30 cm
  33. 52 cm
  34. 121 sq cm
  35. 8 cm
  36. 44 cm
  37. 7 cm
  38. 169 sq cm
  39. 44 cm
  40. 140 sq cm

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