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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 113 · 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 14 cm long and 9 cm wide. What is its perimeter? (a) 23 cm (b) 46 cm (c) 126 cm (d) 37 cm
  2. 2.A rectangle is 15 cm long and 7 cm wide. What is its area? (a) 22 sq cm (b) 120 sq cm (c) 44 sq cm (d) 105 sq cm
  3. 3.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 10 sq cm (c) 36 sq cm (d) 20 sq cm
  4. 4.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 44 sq cm (c) 22 sq cm (d) 144 sq cm
  5. 5.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 64 sq cm (c) 49 sq cm (d) 28 sq cm
  6. 6.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 18 sq cm (c) 12 sq cm (d) 8 sq cm
  7. 7.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 49 sq cm (c) 24 sq cm (d) 12 sq cm
  8. 8.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
  9. 9.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 100 sq cm (c) 81 sq cm (d) 36 sq cm
  10. 10.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 30 sq cm (b) 54 sq cm (c) 63 sq cm (d) 15 sq cm
  11. 11.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
  12. 12.A rectangle is 14 cm long and 2 cm wide. What is its perimeter? (a) 30 cm (b) 32 cm (c) 28 cm (d) 16 cm
  13. 13.A rectangle is 13 cm long and 3 cm wide. What is its area? (a) 52 sq cm (b) 32 sq cm (c) 39 sq cm (d) 16 sq cm
  14. 14.A rectangle has an area of 180 sq cm and a length of 18 cm. What is its width? (a) 20 cm (b) 11 cm (c) 10 cm (d) 162 cm
  15. 15.A rectangle is 17 cm long and 5 cm wide. What is its area? (a) 85 sq cm (b) 44 sq cm (c) 102 sq cm (d) 22 sq cm
  16. 16.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 144 sq cm (c) 169 sq cm (d) 24 sq cm
  17. 17.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 22 cm (c) 140 cm (d) 11 cm
  18. 18.A rectangle is 17 cm long and 7 cm wide. What is its area? (a) 119 sq cm (b) 136 sq cm (c) 48 sq cm (d) 24 sq cm
  19. 19.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 11 sq cm (c) 22 sq cm (d) 32 sq cm
  20. 20.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 13 cm (b) 12 cm (c) 24 cm (d) 154 cm
  21. 21.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 33 sq cm (b) 22 sq cm (c) 13 sq cm (d) 26 sq cm
  22. 22.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 117 sq cm (d) 104 sq cm
  23. 23.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 15 cm (b) 30 cm (c) 23 cm (d) 56 cm
  24. 24.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 42 sq cm (b) 12 sq cm (c) 35 sq cm (d) 24 sq cm
  25. 25.A rectangle has an area of 18 sq cm and a length of 9 cm. What is its width? (a) 4 cm (b) 9 cm (c) 2 cm (d) 3 cm
  26. 26.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 22 sq cm (c) 27 sq cm (d) 11 sq cm
  27. 27.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 13 sq cm (b) 26 sq cm (c) 48 sq cm (d) 40 sq cm
  28. 28.A rectangle is 13 cm long and 11 cm wide. What is its area? (a) 143 sq cm (b) 48 sq cm (c) 156 sq cm (d) 24 sq cm
  29. 29.A rectangle has an area of 65 sq cm and a length of 13 cm. What is its width? (a) 5 cm (b) 52 cm (c) 10 cm (d) 6 cm
  30. 30.A rectangle has an area of 77 sq cm and a length of 11 cm. What is its width? (a) 66 cm (b) 7 cm (c) 14 cm (d) 8 cm
  31. 31.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 121 sq cm (d) 110 sq cm
  32. 32.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 130 cm (b) 22 cm (c) 12 cm (d) 11 cm
  33. 33.A rectangle is 10 cm long and 7 cm wide. What is its perimeter? (a) 27 cm (b) 34 cm (c) 70 cm (d) 17 cm
  34. 34.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 12 cm (b) 24 cm (c) 13 cm (d) 165 cm
  35. 35.A rectangle is 13 cm long and 2 cm wide. What is its perimeter? (a) 30 cm (b) 15 cm (c) 28 cm (d) 26 cm
  36. 36.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 22 cm (b) 24 cm (c) 11 cm (d) 19 cm
  37. 37.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 16 cm (b) 8 cm (c) 9 cm (d) 63 cm
  38. 38.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 70 cm (c) 7 cm (d) 6 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) 9 cm (c) 8 cm (d) 16 cm
  40. 40.A rectangle is 18 cm long and 8 cm wide. What is its perimeter? (a) 52 cm (b) 144 cm (c) 44 cm (d) 26 cm

Answer key

  1. 46 cm
  2. 105 sq cm
  3. 25 sq cm
  4. 121 sq cm
  5. 49 sq cm
  6. 12 sq cm
  7. 36 sq cm
  8. 100 sq cm
  9. 81 sq cm
  10. 54 sq cm
  11. 108 sq cm
  12. 32 cm
  13. 39 sq cm
  14. 10 cm
  15. 85 sq cm
  16. 144 sq cm
  17. 11 cm
  18. 119 sq cm
  19. 24 sq cm
  20. 12 cm
  21. 22 sq cm
  22. 104 sq cm
  23. 30 cm
  24. 35 sq cm
  25. 2 cm
  26. 18 sq cm
  27. 40 sq cm
  28. 143 sq cm
  29. 5 cm
  30. 7 cm
  31. 110 sq cm
  32. 11 cm
  33. 34 cm
  34. 12 cm
  35. 30 cm
  36. 22 cm
  37. 8 cm
  38. 6 cm
  39. 8 cm
  40. 52 cm

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