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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 988 · 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 12 cm long and 10 cm wide. What is its perimeter? (a) 120 cm (b) 22 cm (c) 34 cm (d) 44 cm
  2. 2.A rectangle is 20 cm long and 6 cm wide. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 120 sq cm (d) 140 sq cm
  3. 3.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 196 sq cm (d) 169 sq cm
  4. 4.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 15 cm (b) 9 cm (c) 18 cm (d) 19 cm
  5. 5.A rectangle is 20 cm long and 5 cm wide. What is its perimeter? (a) 50 cm (b) 25 cm (c) 45 cm (d) 100 cm
  6. 6.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 256 sq cm (c) 30 sq cm (d) 60 sq cm
  7. 7.A rectangle has an area of 140 sq cm and a length of 20 cm. What is its width? (a) 14 cm (b) 120 cm (c) 7 cm (d) 8 cm
  8. 8.A rectangle has an area of 180 sq cm and a length of 20 cm. What is its width? (a) 10 cm (b) 18 cm (c) 160 cm (d) 9 cm
  9. 9.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 12 sq cm (c) 24 sq cm (d) 49 sq cm
  10. 10.A rectangle is 13 cm long and 12 cm wide. What is its perimeter? (a) 156 cm (b) 25 cm (c) 38 cm (d) 50 cm
  11. 11.A rectangle has an area of 33 sq cm and a length of 11 cm. What is its width? (a) 3 cm (b) 4 cm (c) 22 cm (d) 6 cm
  12. 12.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 24 cm (b) 12 cm (c) 13 cm (d) 154 cm
  13. 13.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 121 sq cm (c) 22 sq cm (d) 44 sq cm
  14. 14.A rectangle is 17 cm long and 5 cm wide. What is its perimeter? (a) 39 cm (b) 44 cm (c) 85 cm (d) 22 cm
  15. 15.A rectangle has an area of 20 sq cm and a length of 10 cm. What is its width? (a) 2 cm (b) 10 cm (c) 3 cm (d) 4 cm
  16. 16.A rectangle has an area of 114 sq cm and a length of 19 cm. What is its width? (a) 12 cm (b) 95 cm (c) 6 cm (d) 7 cm
  17. 17.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 8 cm (b) 7 cm (c) 14 cm (d) 48 cm
  18. 18.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 17 sq cm (b) 56 sq cm (c) 42 sq cm (d) 34 sq cm
  19. 19.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 78 sq cm (b) 36 sq cm (c) 65 sq cm (d) 18 sq cm
  20. 20.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 96 cm (b) 9 cm (c) 10 cm (d) 18 cm
  21. 21.A rectangle is 15 cm long and 8 cm wide. What is its area? (a) 135 sq cm (b) 23 sq cm (c) 120 sq cm (d) 46 sq cm
  22. 22.A rectangle is 13 cm long and 6 cm wide. What is its perimeter? (a) 19 cm (b) 38 cm (c) 32 cm (d) 78 cm
  23. 23.A rectangle is 12 cm long and 7 cm wide. What is its perimeter? (a) 19 cm (b) 38 cm (c) 31 cm (d) 84 cm
  24. 24.A rectangle has an area of 75 sq cm and a length of 15 cm. What is its width? (a) 5 cm (b) 10 cm (c) 60 cm (d) 6 cm
  25. 25.A rectangle has an area of 22 sq cm and a length of 11 cm. What is its width? (a) 3 cm (b) 11 cm (c) 2 cm (d) 4 cm
  26. 26.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 21 sq cm (b) 9 sq cm (c) 18 sq cm (d) 14 sq cm
  27. 27.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 18 cm (b) 10 cm (c) 104 cm (d) 9 cm
  28. 28.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 12 cm (b) 11 cm (c) 22 cm (d) 130 cm
  29. 29.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 14 sq cm (c) 49 sq cm (d) 28 sq cm
  30. 30.A rectangle is 16 cm long and 5 cm wide. What is its area? (a) 42 sq cm (b) 96 sq cm (c) 80 sq cm (d) 21 sq cm
  31. 31.A rectangle is 19 cm long and 8 cm wide. What is its perimeter? (a) 54 cm (b) 152 cm (c) 46 cm (d) 27 cm
  32. 32.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 12 cm (b) 22 cm (c) 180 cm (d) 11 cm
  33. 33.A rectangle is 15 cm long and 4 cm wide. What is its perimeter? (a) 60 cm (b) 34 cm (c) 19 cm (d) 38 cm
  34. 34.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 9 sq cm (c) 19 sq cm (d) 18 sq cm
  35. 35.A rectangle is 19 cm long and 2 cm wide. What is its perimeter? (a) 21 cm (b) 40 cm (c) 38 cm (d) 42 cm
  36. 36.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
  37. 37.A rectangle is 19 cm long and 7 cm wide. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 133 sq cm (d) 152 sq cm
  38. 38.A rectangle has an area of 126 sq cm and a length of 14 cm. What is its width? (a) 112 cm (b) 18 cm (c) 10 cm (d) 9 cm
  39. 39.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 20 cm (b) 42 cm (c) 26 cm (d) 13 cm
  40. 40.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 121 sq cm (d) 100 sq cm

Answer key

  1. 44 cm
  2. 120 sq cm
  3. 169 sq cm
  4. 18 cm
  5. 50 cm
  6. 225 sq cm
  7. 7 cm
  8. 9 cm
  9. 36 sq cm
  10. 50 cm
  11. 3 cm
  12. 12 cm
  13. 121 sq cm
  14. 44 cm
  15. 2 cm
  16. 6 cm
  17. 7 cm
  18. 42 sq cm
  19. 65 sq cm
  20. 9 cm
  21. 120 sq cm
  22. 38 cm
  23. 38 cm
  24. 5 cm
  25. 2 cm
  26. 14 sq cm
  27. 9 cm
  28. 11 cm
  29. 49 sq cm
  30. 80 sq cm
  31. 54 cm
  32. 11 cm
  33. 38 cm
  34. 18 sq cm
  35. 42 cm
  36. 144 sq cm
  37. 133 sq cm
  38. 9 cm
  39. 26 cm
  40. 100 sq cm

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