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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 835 · 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 18 cm long and 3 cm wide. What is its area? (a) 54 sq cm (b) 42 sq cm (c) 72 sq cm (d) 21 sq cm
  2. 2.A rectangle has an area of 80 sq cm and a length of 16 cm. What is its width? (a) 64 cm (b) 10 cm (c) 6 cm (d) 5 cm
  3. 3.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 34 sq cm (b) 17 sq cm (c) 70 sq cm (d) 80 sq cm
  4. 4.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its width? (a) 4 cm (b) 6 cm (c) 3 cm (d) 10 cm
  5. 5.A rectangle has an area of 40 sq cm and a length of 8 cm. What is its width? (a) 32 cm (b) 10 cm (c) 5 cm (d) 6 cm
  6. 6.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 196 sq cm (c) 28 sq cm (d) 56 sq cm
  7. 7.A rectangle is 11 cm long and 8 cm wide. What is its perimeter? (a) 30 cm (b) 88 cm (c) 38 cm (d) 19 cm
  8. 8.A rectangle is 19 cm long and 6 cm wide. What is its area? (a) 133 sq cm (b) 50 sq cm (c) 25 sq cm (d) 114 sq cm
  9. 9.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 30 sq cm (c) 60 sq cm (d) 256 sq cm
  10. 10.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 10 sq cm (c) 25 sq cm (d) 20 sq cm
  11. 11.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 64 sq cm (d) 80 sq cm
  12. 12.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 30 sq cm (c) 24 sq cm (d) 10 sq cm
  13. 13.A rectangle has an area of 126 sq cm and a length of 14 cm. What is its width? (a) 10 cm (b) 18 cm (c) 112 cm (d) 9 cm
  14. 14.A rectangle is 20 cm long and 3 cm wide. What is its area? (a) 23 sq cm (b) 60 sq cm (c) 46 sq cm (d) 80 sq cm
  15. 15.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 17 cm (c) 10 cm (d) 20 cm
  16. 16.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 18 cm (b) 9 cm (c) 19 cm (d) 15 cm
  17. 17.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 169 sq cm (d) 144 sq cm
  18. 18.A rectangle is 15 cm long and 8 cm wide. What is its perimeter? (a) 23 cm (b) 38 cm (c) 46 cm (d) 120 cm
  19. 19.A rectangle is 17 cm long and 6 cm wide. What is its perimeter? (a) 40 cm (b) 102 cm (c) 46 cm (d) 23 cm
  20. 20.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 11 cm (b) 24 cm (c) 22 cm (d) 19 cm
  21. 21.A rectangle is 16 cm long and 6 cm wide. What is its area? (a) 112 sq cm (b) 22 sq cm (c) 96 sq cm (d) 44 sq cm
  22. 22.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 9 cm (b) 18 cm (c) 16 cm (d) 14 cm
  23. 23.A rectangle has an area of 152 sq cm and a length of 19 cm. What is its width? (a) 133 cm (b) 16 cm (c) 9 cm (d) 8 cm
  24. 24.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 15 sq cm (b) 56 sq cm (c) 64 sq cm (d) 30 sq cm
  25. 25.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 32 sq cm (c) 16 sq cm (d) 64 sq cm
  26. 26.A rectangle has an area of 40 sq cm and a length of 10 cm. What is its width? (a) 4 cm (b) 5 cm (c) 8 cm (d) 30 cm
  27. 27.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its width? (a) 4 cm (b) 3 cm (c) 6 cm (d) 24 cm
  28. 28.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 24 cm (b) 54 cm (c) 15 cm (d) 30 cm
  29. 29.A rectangle is 16 cm long and 6 cm wide. What is its perimeter? (a) 38 cm (b) 96 cm (c) 22 cm (d) 44 cm
  30. 30.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 26 cm (b) 24 cm (c) 13 cm (d) 22 cm
  31. 31.A rectangle is 16 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 32 sq cm (d) 48 sq cm
  32. 32.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its width? (a) 7 cm (b) 35 cm (c) 12 cm (d) 6 cm
  33. 33.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 18 sq cm (c) 81 sq cm (d) 36 sq cm
  34. 34.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 24 cm (b) 21 cm (c) 12 cm (d) 27 cm
  35. 35.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 26 sq cm (b) 45 sq cm (c) 13 sq cm (d) 36 sq cm
  36. 36.A rectangle has an area of 98 sq cm and a length of 14 cm. What is its width? (a) 8 cm (b) 84 cm (c) 14 cm (d) 7 cm
  37. 37.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 28 sq cm (c) 21 sq cm (d) 10 sq cm
  38. 38.A rectangle has an area of 135 sq cm and a length of 15 cm. What is its width? (a) 10 cm (b) 120 cm (c) 9 cm (d) 18 cm
  39. 39.A rectangle has an area of 20 sq cm and a length of 10 cm. What is its width? (a) 3 cm (b) 4 cm (c) 2 cm (d) 10 cm
  40. 40.A rectangle has an area of 32 sq cm and a length of 16 cm. What is its width? (a) 4 cm (b) 3 cm (c) 2 cm (d) 16 cm

Answer key

  1. 54 sq cm
  2. 5 cm
  3. 70 sq cm
  4. 3 cm
  5. 5 cm
  6. 196 sq cm
  7. 38 cm
  8. 114 sq cm
  9. 225 sq cm
  10. 25 sq cm
  11. 64 sq cm
  12. 24 sq cm
  13. 9 cm
  14. 60 sq cm
  15. 20 cm
  16. 18 cm
  17. 144 sq cm
  18. 46 cm
  19. 46 cm
  20. 22 cm
  21. 96 sq cm
  22. 18 cm
  23. 8 cm
  24. 56 sq cm
  25. 64 sq cm
  26. 4 cm
  27. 3 cm
  28. 30 cm
  29. 44 cm
  30. 26 cm
  31. 32 sq cm
  32. 6 cm
  33. 81 sq cm
  34. 24 cm
  35. 36 sq cm
  36. 7 cm
  37. 21 sq cm
  38. 9 cm
  39. 2 cm
  40. 2 cm

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