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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 83 · 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 10 cm wide. What is its perimeter? (a) 23 cm (b) 36 cm (c) 46 cm (d) 130 cm
  2. 2.A rectangle is 11 cm long and 8 cm wide. What is its area? (a) 99 sq cm (b) 19 sq cm (c) 88 sq cm (d) 38 sq cm
  3. 3.A rectangle has an area of 90 sq cm and a length of 18 cm. What is its width? (a) 6 cm (b) 72 cm (c) 5 cm (d) 10 cm
  4. 4.A rectangle is 17 cm long and 7 cm wide. What is its area? (a) 48 sq cm (b) 136 sq cm (c) 119 sq cm (d) 24 sq cm
  5. 5.A rectangle is 15 cm long and 6 cm wide. What is its perimeter? (a) 21 cm (b) 90 cm (c) 42 cm (d) 36 cm
  6. 6.A rectangle has an area of 162 sq cm and a length of 18 cm. What is its width? (a) 10 cm (b) 144 cm (c) 9 cm (d) 18 cm
  7. 7.A rectangle is 16 cm long and 8 cm wide. What is its perimeter? (a) 128 cm (b) 24 cm (c) 48 cm (d) 40 cm
  8. 8.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 169 sq cm (c) 52 sq cm (d) 196 sq cm
  9. 9.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 14 sq cm (c) 64 sq cm (d) 28 sq cm
  10. 10.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 32 cm (b) 20 cm (c) 12 cm (d) 24 cm
  11. 11.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 40 sq cm (d) 32 sq cm
  12. 12.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 11 cm (b) 20 cm (c) 108 cm (d) 10 cm
  13. 13.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 126 sq cm (b) 140 sq cm (c) 23 sq cm (d) 46 sq cm
  14. 14.A rectangle is 12 cm long and 11 cm wide. What is its area? (a) 23 sq cm (b) 132 sq cm (c) 144 sq cm (d) 46 sq cm
  15. 15.A rectangle is 15 cm long and 10 cm wide. What is its area? (a) 150 sq cm (b) 165 sq cm (c) 25 sq cm (d) 50 sq cm
  16. 16.A rectangle is 12 cm long and 2 cm wide. What is its perimeter? (a) 24 cm (b) 26 cm (c) 28 cm (d) 14 cm
  17. 17.A rectangle is 17 cm long and 8 cm wide. What is its area? (a) 25 sq cm (b) 153 sq cm (c) 136 sq cm (d) 50 sq cm
  18. 18.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 81 sq cm (c) 18 sq cm (d) 36 sq cm
  19. 19.A rectangle has an area of 6 sq cm and a length of 3 cm. What is its width? (a) 4 cm (b) 1 cm (c) 2 cm (d) 3 cm
  20. 20.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 80 cm (b) 10 cm (c) 9 cm (d) 18 cm
  21. 21.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 20 sq cm (c) 24 sq cm (d) 10 sq cm
  22. 22.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 3 cm (b) 6 cm (c) 2 cm (d) 4 cm
  23. 23.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 40 sq cm (b) 13 sq cm (c) 26 sq cm (d) 30 sq cm
  24. 24.A rectangle is 14 cm long and 7 cm wide. What is its area? (a) 98 sq cm (b) 21 sq cm (c) 112 sq cm (d) 42 sq cm
  25. 25.A rectangle is 18 cm long and 9 cm wide. What is its area? (a) 180 sq cm (b) 54 sq cm (c) 27 sq cm (d) 162 sq cm
  26. 26.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 25 sq cm (c) 10 sq cm (d) 20 sq cm
  27. 27.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 21 sq cm (b) 38 sq cm (c) 57 sq cm (d) 42 sq cm
  28. 28.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
  29. 29.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 169 sq cm (c) 24 sq cm (d) 48 sq cm
  30. 30.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 49 sq cm (b) 26 sq cm (c) 42 sq cm (d) 13 sq cm
  31. 31.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
  32. 32.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 44 sq cm (c) 121 sq cm (d) 22 sq cm
  33. 33.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 28 sq cm (b) 20 sq cm (c) 21 sq cm (d) 10 sq cm
  34. 34.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 96 sq cm (b) 38 sq cm (c) 84 sq cm (d) 19 sq cm
  35. 35.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 70 sq cm (d) 60 sq cm
  36. 36.A rectangle is 20 cm long and 10 cm wide. What is its perimeter? (a) 60 cm (b) 30 cm (c) 200 cm (d) 50 cm
  37. 37.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 26 cm (b) 30 cm (c) 23 cm (d) 13 cm
  38. 38.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 13 sq cm (b) 40 sq cm (c) 26 sq cm (d) 48 sq cm
  39. 39.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 10 cm (b) 180 cm (c) 11 cm (d) 20 cm
  40. 40.A rectangle is 14 cm long and 11 cm wide. What is its perimeter? (a) 39 cm (b) 154 cm (c) 25 cm (d) 50 cm

Answer key

  1. 46 cm
  2. 88 sq cm
  3. 5 cm
  4. 119 sq cm
  5. 42 cm
  6. 9 cm
  7. 48 cm
  8. 169 sq cm
  9. 49 sq cm
  10. 24 cm
  11. 32 sq cm
  12. 10 cm
  13. 126 sq cm
  14. 132 sq cm
  15. 150 sq cm
  16. 28 cm
  17. 136 sq cm
  18. 81 sq cm
  19. 2 cm
  20. 9 cm
  21. 24 sq cm
  22. 2 cm
  23. 30 sq cm
  24. 98 sq cm
  25. 162 sq cm
  26. 25 sq cm
  27. 38 sq cm
  28. 36 sq cm
  29. 144 sq cm
  30. 42 sq cm
  31. 24 cm
  32. 121 sq cm
  33. 21 sq cm
  34. 84 sq cm
  35. 60 sq cm
  36. 60 cm
  37. 26 cm
  38. 40 sq cm
  39. 10 cm
  40. 50 cm

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