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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 984 · 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 has an area of 144 sq cm and a length of 18 cm. What is its width? (a) 16 cm (b) 126 cm (c) 9 cm (d) 8 cm
  2. 2.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 22 cm (b) 160 cm (c) 11 cm (d) 12 cm
  3. 3.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 14 cm (b) 60 cm (c) 7 cm (d) 8 cm
  4. 4.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 11 cm (b) 12 cm (c) 200 cm (d) 22 cm
  5. 5.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 22 cm (c) 24 cm (d) 12 cm
  6. 6.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 22 cm (b) 14 cm (c) 28 cm (d) 48 cm
  7. 7.A rectangle is 11 cm long and 6 cm wide. What is its perimeter? (a) 17 cm (b) 66 cm (c) 28 cm (d) 34 cm
  8. 8.A rectangle is 15 cm long and 12 cm wide. What is its area? (a) 195 sq cm (b) 54 sq cm (c) 180 sq cm (d) 27 sq cm
  9. 9.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 70 sq cm (b) 32 sq cm (c) 60 sq cm (d) 16 sq cm
  10. 10.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 30 sq cm (c) 256 sq cm (d) 60 sq cm
  11. 11.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 16 cm (b) 26 cm (c) 60 cm (d) 32 cm
  12. 12.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 77 cm (b) 9 cm (c) 16 cm (d) 8 cm
  13. 13.A rectangle is 16 cm long and 9 cm wide. What is its area? (a) 50 sq cm (b) 25 sq cm (c) 160 sq cm (d) 144 sq cm
  14. 14.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 44 sq cm (c) 144 sq cm (d) 22 sq cm
  15. 15.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 24 sq cm (c) 36 sq cm (d) 12 sq cm
  16. 16.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 8 cm (c) 14 cm (d) 16 cm
  17. 17.A rectangle is 13 cm long and 4 cm wide. What is its area? (a) 17 sq cm (b) 65 sq cm (c) 52 sq cm (d) 34 sq cm
  18. 18.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 27 sq cm (d) 12 sq cm
  19. 19.A rectangle is 19 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 95 sq cm (c) 114 sq cm (d) 48 sq cm
  20. 20.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its width? (a) 6 cm (b) 10 cm (c) 28 cm (d) 5 cm
  21. 21.A rectangle is 14 cm long and 8 cm wide. What is its perimeter? (a) 112 cm (b) 22 cm (c) 44 cm (d) 36 cm
  22. 22.A rectangle is 20 cm long and 10 cm wide. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 220 sq cm (d) 200 sq cm
  23. 23.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 46 sq cm (b) 23 sq cm (c) 95 sq cm (d) 76 sq cm
  24. 24.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 10 cm (b) 11 cm (c) 20 cm (d) 108 cm
  25. 25.A rectangle has an area of 60 sq cm and a length of 12 cm. What is its width? (a) 5 cm (b) 6 cm (c) 10 cm (d) 48 cm
  26. 26.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 30 sq cm (d) 24 sq cm
  27. 27.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 13 cm (b) 26 cm (c) 21 cm (d) 40 cm
  28. 28.A rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 8 cm (b) 6 cm (c) 4 cm (d) 3 cm
  29. 29.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 57 sq cm (b) 42 sq cm (c) 38 sq cm (d) 21 sq cm
  30. 30.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 10 cm (c) 18 cm (d) 16 cm
  31. 31.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 18 cm (b) 28 cm (c) 22 cm (d) 11 cm
  32. 32.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 14 sq cm (c) 9 sq cm (d) 21 sq cm
  33. 33.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 11 sq cm (b) 22 sq cm (c) 24 sq cm (d) 32 sq cm
  34. 34.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
  35. 35.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 25 cm (b) 50 cm (c) 15 cm (d) 30 cm
  36. 36.A rectangle has an area of 48 sq cm and a length of 16 cm. What is its width? (a) 32 cm (b) 3 cm (c) 4 cm (d) 6 cm
  37. 37.A rectangle is 18 cm long and 2 cm wide. What is its perimeter? (a) 38 cm (b) 36 cm (c) 40 cm (d) 20 cm
  38. 38.A rectangle is 18 cm long and 6 cm wide. What is its perimeter? (a) 108 cm (b) 24 cm (c) 42 cm (d) 48 cm
  39. 39.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 64 sq cm (c) 16 sq cm (d) 32 sq cm
  40. 40.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 48 sq cm (b) 32 sq cm (c) 60 sq cm (d) 16 sq cm

Answer key

  1. 8 cm
  2. 11 cm
  3. 7 cm
  4. 11 cm
  5. 24 cm
  6. 28 cm
  7. 34 cm
  8. 180 sq cm
  9. 60 sq cm
  10. 225 sq cm
  11. 32 cm
  12. 8 cm
  13. 144 sq cm
  14. 121 sq cm
  15. 36 sq cm
  16. 16 cm
  17. 52 sq cm
  18. 27 sq cm
  19. 95 sq cm
  20. 5 cm
  21. 44 cm
  22. 200 sq cm
  23. 76 sq cm
  24. 10 cm
  25. 5 cm
  26. 24 sq cm
  27. 26 cm
  28. 3 cm
  29. 38 sq cm
  30. 20 cm
  31. 22 cm
  32. 14 sq cm
  33. 24 sq cm
  34. 169 sq cm
  35. 30 cm
  36. 3 cm
  37. 40 cm
  38. 48 cm
  39. 64 sq cm
  40. 48 sq cm

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