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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 744 · 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 17 cm long and 2 cm wide. What is its area? (a) 34 sq cm (b) 38 sq cm (c) 19 sq cm (d) 51 sq cm
  2. 2.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 12 sq cm (c) 24 sq cm (d) 32 sq cm
  3. 3.A rectangle is 19 cm long and 5 cm wide. What is its area? (a) 95 sq cm (b) 114 sq cm (c) 24 sq cm (d) 48 sq cm
  4. 4.A rectangle has an area of 180 sq cm and a length of 20 cm. What is its width? (a) 160 cm (b) 10 cm (c) 9 cm (d) 18 cm
  5. 5.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 18 cm (c) 22 cm (d) 11 cm
  6. 6.A rectangle has an area of 96 sq cm and a length of 16 cm. What is its width? (a) 6 cm (b) 7 cm (c) 80 cm (d) 12 cm
  7. 7.A rectangle is 18 cm long and 10 cm wide. What is its area? (a) 28 sq cm (b) 180 sq cm (c) 56 sq cm (d) 198 sq cm
  8. 8.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
  9. 9.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 5 cm (b) 4 cm (c) 15 cm (d) 8 cm
  10. 10.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 22 sq cm (b) 132 sq cm (c) 120 sq cm (d) 44 sq cm
  11. 11.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
  12. 12.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 22 cm (b) 11 cm (c) 12 cm (d) 150 cm
  13. 13.A rectangle is 19 cm long and 3 cm wide. What is its area? (a) 22 sq cm (b) 57 sq cm (c) 76 sq cm (d) 44 sq cm
  14. 14.A rectangle has an area of 56 sq cm and a length of 14 cm. What is its width? (a) 42 cm (b) 5 cm (c) 4 cm (d) 8 cm
  15. 15.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 56 sq cm (b) 14 sq cm (c) 28 sq cm (d) 48 sq cm
  16. 16.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 23 sq cm (b) 46 sq cm (c) 140 sq cm (d) 126 sq cm
  17. 17.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 80 cm (b) 36 cm (c) 18 cm (d) 28 cm
  18. 18.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 28 sq cm (c) 10 sq cm (d) 21 sq cm
  19. 19.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 22 cm (b) 140 cm (c) 11 cm (d) 12 cm
  20. 20.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 26 sq cm (c) 52 sq cm (d) 169 sq cm
  21. 21.A rectangle has an area of 60 sq cm and a length of 20 cm. What is its width? (a) 4 cm (b) 6 cm (c) 40 cm (d) 3 cm
  22. 22.A rectangle has an area of 77 sq cm and a length of 11 cm. What is its width? (a) 7 cm (b) 66 cm (c) 14 cm (d) 8 cm
  23. 23.A rectangle is 15 cm long and 6 cm wide. What is its area? (a) 42 sq cm (b) 105 sq cm (c) 90 sq cm (d) 21 sq cm
  24. 24.A rectangle has an area of 48 sq cm and a length of 16 cm. What is its width? (a) 4 cm (b) 32 cm (c) 6 cm (d) 3 cm
  25. 25.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 98 cm (b) 8 cm (c) 16 cm (d) 9 cm
  26. 26.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 169 sq cm (c) 48 sq cm (d) 24 sq cm
  27. 27.A rectangle is 18 cm long and 10 cm wide. What is its perimeter? (a) 56 cm (b) 28 cm (c) 180 cm (d) 46 cm
  28. 28.A rectangle has an area of 45 sq cm and a length of 9 cm. What is its width? (a) 10 cm (b) 5 cm (c) 6 cm (d) 36 cm
  29. 29.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 80 sq cm (b) 36 sq cm (c) 18 sq cm (d) 90 sq cm
  30. 30.A rectangle has an area of 180 sq cm and a length of 18 cm. What is its width? (a) 11 cm (b) 20 cm (c) 10 cm (d) 162 cm
  31. 31.A rectangle is 14 cm long and 4 cm wide. What is its perimeter? (a) 18 cm (b) 56 cm (c) 36 cm (d) 32 cm
  32. 32.A rectangle has an area of 8 sq cm and a length of 4 cm. What is its width? (a) 2 cm (b) 3 cm (c) 4 cm (d) 1 cm
  33. 33.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 49 sq cm (c) 24 sq cm (d) 36 sq cm
  34. 34.A rectangle is 13 cm long and 10 cm wide. What is its perimeter? (a) 130 cm (b) 23 cm (c) 36 cm (d) 46 cm
  35. 35.A rectangle is 16 cm long and 9 cm wide. What is its perimeter? (a) 144 cm (b) 25 cm (c) 50 cm (d) 41 cm
  36. 36.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 26 cm (b) 17 cm (c) 34 cm (d) 72 cm
  37. 37.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
  38. 38.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 100 sq cm (c) 20 sq cm (d) 121 sq cm
  39. 39.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 28 sq cm (c) 196 sq cm (d) 56 sq cm
  40. 40.A rectangle has an area of 55 sq cm and a length of 11 cm. What is its width? (a) 5 cm (b) 44 cm (c) 10 cm (d) 6 cm

Answer key

  1. 34 sq cm
  2. 32 sq cm
  3. 95 sq cm
  4. 9 cm
  5. 22 cm
  6. 6 cm
  7. 180 sq cm
  8. 25 sq cm
  9. 4 cm
  10. 120 sq cm
  11. 121 sq cm
  12. 11 cm
  13. 57 sq cm
  14. 4 cm
  15. 48 sq cm
  16. 126 sq cm
  17. 36 cm
  18. 21 sq cm
  19. 11 cm
  20. 169 sq cm
  21. 3 cm
  22. 7 cm
  23. 90 sq cm
  24. 3 cm
  25. 8 cm
  26. 144 sq cm
  27. 56 cm
  28. 5 cm
  29. 80 sq cm
  30. 10 cm
  31. 36 cm
  32. 2 cm
  33. 36 sq cm
  34. 46 cm
  35. 50 cm
  36. 34 cm
  37. 81 sq cm
  38. 100 sq cm
  39. 196 sq cm
  40. 5 cm

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