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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 742 · 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 8 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 20 cm (c) 10 cm (d) 16 cm
  2. 2.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 70 sq cm (b) 80 sq cm (c) 34 sq cm (d) 17 sq cm
  3. 3.A rectangle is 16 cm long and 7 cm wide. What is its perimeter? (a) 39 cm (b) 46 cm (c) 23 cm (d) 112 cm
  4. 4.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 104 sq cm (b) 117 sq cm (c) 42 sq cm (d) 21 sq cm
  5. 5.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 11 cm (b) 10 cm (c) 99 cm (d) 20 cm
  6. 6.A rectangle is 17 cm long and 8 cm wide. What is its area? (a) 153 sq cm (b) 25 sq cm (c) 50 sq cm (d) 136 sq cm
  7. 7.A rectangle has an area of 119 sq cm and a length of 17 cm. What is its width? (a) 102 cm (b) 14 cm (c) 7 cm (d) 8 cm
  8. 8.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
  9. 9.A rectangle is 14 cm long and 8 cm wide. What is its perimeter? (a) 36 cm (b) 112 cm (c) 44 cm (d) 22 cm
  10. 10.A rectangle has an area of 96 sq cm and a length of 16 cm. What is its width? (a) 12 cm (b) 80 cm (c) 7 cm (d) 6 cm
  11. 11.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 100 sq cm (c) 20 sq cm (d) 40 sq cm
  12. 12.A rectangle is 15 cm long and 11 cm wide. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 180 sq cm (d) 165 sq cm
  13. 13.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 225 sq cm (c) 196 sq cm (d) 28 sq cm
  14. 14.A rectangle is 19 cm long and 11 cm wide. What is its perimeter? (a) 60 cm (b) 49 cm (c) 209 cm (d) 30 cm
  15. 15.A rectangle has an area of 108 sq cm and a length of 18 cm. What is its width? (a) 6 cm (b) 7 cm (c) 12 cm (d) 90 cm
  16. 16.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
  17. 17.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 36 sq cm (d) 25 sq cm
  18. 18.A rectangle is 18 cm long and 8 cm wide. What is its perimeter? (a) 26 cm (b) 44 cm (c) 144 cm (d) 52 cm
  19. 19.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 52 sq cm (c) 26 sq cm (d) 196 sq cm
  20. 20.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its width? (a) 6 cm (b) 4 cm (c) 3 cm (d) 14 cm
  21. 21.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 13 cm (b) 22 cm (c) 24 cm (d) 26 cm
  22. 22.A rectangle is 13 cm long and 12 cm wide. What is its area? (a) 156 sq cm (b) 50 sq cm (c) 25 sq cm (d) 169 sq cm
  23. 23.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 45 cm (b) 36 cm (c) 18 cm (d) 33 cm
  24. 24.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 36 sq cm (c) 11 sq cm (d) 22 sq cm
  25. 25.A rectangle has an area of 32 sq cm and a length of 16 cm. What is its width? (a) 2 cm (b) 4 cm (c) 3 cm (d) 16 cm
  26. 26.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
  27. 27.A rectangle is 17 cm long and 9 cm wide. What is its area? (a) 52 sq cm (b) 170 sq cm (c) 153 sq cm (d) 26 sq cm
  28. 28.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 27 sq cm (c) 36 sq cm (d) 12 sq cm
  29. 29.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 31 sq cm (b) 240 sq cm (c) 220 sq cm (d) 62 sq cm
  30. 30.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 12 cm (b) 13 cm (c) 24 cm (d) 198 cm
  31. 31.A rectangle has an area of 68 sq cm and a length of 17 cm. What is its width? (a) 8 cm (b) 5 cm (c) 4 cm (d) 51 cm
  32. 32.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 26 sq cm (c) 33 sq cm (d) 13 sq cm
  33. 33.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 84 sq cm (b) 96 sq cm (c) 38 sq cm (d) 19 sq cm
  34. 34.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 56 sq cm (b) 34 sq cm (c) 42 sq cm (d) 17 sq cm
  35. 35.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
  36. 36.A rectangle is 18 cm long and 12 cm wide. What is its perimeter? (a) 30 cm (b) 48 cm (c) 216 cm (d) 60 cm
  37. 37.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 100 sq cm (c) 36 sq cm (d) 81 sq cm
  38. 38.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 11 cm (b) 22 cm (c) 24 cm (d) 19 cm
  39. 39.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 10 cm (b) 20 cm (c) 126 cm (d) 11 cm
  40. 40.A rectangle is 15 cm long and 9 cm wide. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 150 sq cm (d) 135 sq cm

Answer key

  1. 20 cm
  2. 70 sq cm
  3. 46 cm
  4. 104 sq cm
  5. 10 cm
  6. 136 sq cm
  7. 7 cm
  8. 64 sq cm
  9. 44 cm
  10. 6 cm
  11. 100 sq cm
  12. 165 sq cm
  13. 196 sq cm
  14. 60 cm
  15. 6 cm
  16. 144 sq cm
  17. 25 sq cm
  18. 52 cm
  19. 169 sq cm
  20. 3 cm
  21. 26 cm
  22. 156 sq cm
  23. 36 cm
  24. 30 sq cm
  25. 2 cm
  26. 36 sq cm
  27. 153 sq cm
  28. 27 sq cm
  29. 220 sq cm
  30. 12 cm
  31. 4 cm
  32. 22 sq cm
  33. 84 sq cm
  34. 42 sq cm
  35. 121 sq cm
  36. 60 cm
  37. 81 sq cm
  38. 22 cm
  39. 10 cm
  40. 135 sq cm

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