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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 780 · 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 32 sq cm and a length of 16 cm. What is its width? (a) 3 cm (b) 4 cm (c) 16 cm (d) 2 cm
  2. 2.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 22 cm (b) 120 cm (c) 12 cm (d) 11 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) 80 sq cm (d) 70 sq cm
  4. 4.A rectangle is 12 cm long and 6 cm wide. What is its area? (a) 84 sq cm (b) 18 sq cm (c) 36 sq cm (d) 72 sq cm
  5. 5.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 24 cm (c) 12 cm (d) 32 cm
  6. 6.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 21 sq cm (b) 10 sq cm (c) 28 sq cm (d) 20 sq cm
  7. 7.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 48 cm (b) 14 cm (c) 8 cm (d) 7 cm
  8. 8.A rectangle is 13 cm long and 12 cm wide. What is its area? (a) 169 sq cm (b) 156 sq cm (c) 25 sq cm (d) 50 sq cm
  9. 9.A rectangle has an area of 18 sq cm and a length of 9 cm. What is its width? (a) 4 cm (b) 3 cm (c) 9 cm (d) 2 cm
  10. 10.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 10 cm (c) 16 cm (d) 20 cm
  11. 11.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 63 sq cm (b) 54 sq cm (c) 30 sq cm (d) 15 sq cm
  12. 12.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 225 sq cm (c) 60 sq cm (d) 30 sq cm
  13. 13.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 63 cm (b) 8 cm (c) 9 cm (d) 16 cm
  14. 14.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 169 sq cm (c) 48 sq cm (d) 144 sq cm
  15. 15.A rectangle is 20 cm long and 10 cm wide. What is its perimeter? (a) 200 cm (b) 60 cm (c) 50 cm (d) 30 cm
  16. 16.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 16 sq cm (c) 32 sq cm (d) 64 sq cm
  17. 17.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 121 sq cm (c) 44 sq cm (d) 22 sq cm
  18. 18.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 20 sq cm (c) 36 sq cm (d) 10 sq cm
  19. 19.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 56 sq cm (b) 14 sq cm (c) 48 sq cm (d) 28 sq cm
  20. 20.A rectangle is 17 cm long and 6 cm wide. What is its perimeter? (a) 23 cm (b) 102 cm (c) 40 cm (d) 46 cm
  21. 21.A rectangle is 18 cm long and 6 cm wide. What is its perimeter? (a) 24 cm (b) 42 cm (c) 48 cm (d) 108 cm
  22. 22.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 100 sq cm (d) 81 sq cm
  23. 23.A rectangle is 11 cm long and 4 cm wide. What is its perimeter? (a) 44 cm (b) 15 cm (c) 26 cm (d) 30 cm
  24. 24.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 30 cm (b) 13 cm (c) 26 cm (d) 23 cm
  25. 25.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 16 sq cm (c) 12 sq cm (d) 8 sq cm
  26. 26.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 34 sq cm (b) 17 sq cm (c) 56 sq cm (d) 42 sq cm
  27. 27.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 169 sq cm (c) 52 sq cm (d) 26 sq cm
  28. 28.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 196 sq cm (d) 225 sq cm
  29. 29.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 22 cm (b) 19 cm (c) 11 cm (d) 24 cm
  30. 30.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 18 cm (c) 15 cm (d) 9 cm
  31. 31.A rectangle is 16 cm long and 12 cm wide. What is its area? (a) 208 sq cm (b) 28 sq cm (c) 56 sq cm (d) 192 sq cm
  32. 32.A rectangle has an area of 160 sq cm and a length of 20 cm. What is its width? (a) 140 cm (b) 16 cm (c) 8 cm (d) 9 cm
  33. 33.A rectangle has an area of 57 sq cm and a length of 19 cm. What is its width? (a) 4 cm (b) 6 cm (c) 3 cm (d) 38 cm
  34. 34.A rectangle is 16 cm long and 7 cm wide. What is its perimeter? (a) 39 cm (b) 112 cm (c) 23 cm (d) 46 cm
  35. 35.A rectangle is 13 cm long and 9 cm wide. What is its area? (a) 22 sq cm (b) 130 sq cm (c) 44 sq cm (d) 117 sq cm
  36. 36.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 15 sq cm (b) 48 sq cm (c) 36 sq cm (d) 30 sq cm
  37. 37.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 6 cm (b) 4 cm (c) 3 cm (d) 2 cm
  38. 38.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 12 cm (c) 14 cm (d) 8 cm
  39. 39.A rectangle is 15 cm long and 4 cm wide. What is its area? (a) 75 sq cm (b) 60 sq cm (c) 19 sq cm (d) 38 sq cm
  40. 40.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 40 sq cm (c) 100 sq cm (d) 20 sq cm

Answer key

  1. 2 cm
  2. 11 cm
  3. 70 sq cm
  4. 72 sq cm
  5. 24 cm
  6. 21 sq cm
  7. 7 cm
  8. 156 sq cm
  9. 2 cm
  10. 20 cm
  11. 54 sq cm
  12. 225 sq cm
  13. 8 cm
  14. 144 sq cm
  15. 60 cm
  16. 64 sq cm
  17. 121 sq cm
  18. 25 sq cm
  19. 48 sq cm
  20. 46 cm
  21. 48 cm
  22. 81 sq cm
  23. 30 cm
  24. 26 cm
  25. 12 sq cm
  26. 42 sq cm
  27. 169 sq cm
  28. 196 sq cm
  29. 22 cm
  30. 18 cm
  31. 192 sq cm
  32. 8 cm
  33. 3 cm
  34. 46 cm
  35. 117 sq cm
  36. 36 sq cm
  37. 2 cm
  38. 16 cm
  39. 60 sq cm
  40. 100 sq cm

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