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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 844 · 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 8 sq cm and a length of 4 cm. What is its width? (a) 1 cm (b) 3 cm (c) 4 cm (d) 2 cm
  2. 2.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 30 sq cm (b) 12 sq cm (c) 24 sq cm (d) 20 sq cm
  3. 3.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 17 sq cm (b) 70 sq cm (c) 80 sq cm (d) 34 sq cm
  4. 4.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
  5. 5.A rectangle has an area of 180 sq cm and a length of 20 cm. What is its width? (a) 10 cm (b) 18 cm (c) 160 cm (d) 9 cm
  6. 6.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 36 sq cm (d) 27 sq cm
  7. 7.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 9 cm (b) 88 cm (c) 10 cm (d) 18 cm
  8. 8.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 220 sq cm (b) 240 sq cm (c) 62 sq cm (d) 31 sq cm
  9. 9.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
  10. 10.A rectangle has an area of 72 sq cm and a length of 18 cm. What is its width? (a) 8 cm (b) 5 cm (c) 4 cm (d) 54 cm
  11. 11.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its width? (a) 35 cm (b) 6 cm (c) 7 cm (d) 12 cm
  12. 12.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
  13. 13.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 14 cm (b) 28 cm (c) 22 cm (d) 48 cm
  14. 14.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 22 cm (b) 13 cm (c) 36 cm (d) 26 cm
  15. 15.A rectangle is 15 cm long and 8 cm wide. What is its perimeter? (a) 46 cm (b) 120 cm (c) 23 cm (d) 38 cm
  16. 16.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 140 cm (c) 22 cm (d) 11 cm
  17. 17.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 28 sq cm (b) 45 sq cm (c) 14 sq cm (d) 54 sq cm
  18. 18.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 26 sq cm (b) 13 sq cm (c) 40 sq cm (d) 48 sq cm
  19. 19.A rectangle is 19 cm long and 7 cm wide. What is its area? (a) 152 sq cm (b) 52 sq cm (c) 133 sq cm (d) 26 sq cm
  20. 20.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 49 sq cm (d) 36 sq cm
  21. 21.A rectangle is 19 cm long and 7 cm wide. What is its perimeter? (a) 45 cm (b) 26 cm (c) 133 cm (d) 52 cm
  22. 22.A rectangle is 12 cm long and 5 cm wide. What is its area? (a) 60 sq cm (b) 34 sq cm (c) 72 sq cm (d) 17 sq cm
  23. 23.A rectangle is 19 cm long and 6 cm wide. What is its area? (a) 114 sq cm (b) 50 sq cm (c) 25 sq cm (d) 133 sq cm
  24. 24.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 32 sq cm (b) 70 sq cm (c) 60 sq cm (d) 16 sq cm
  25. 25.A rectangle is 11 cm long and 8 cm wide. What is its area? (a) 99 sq cm (b) 88 sq cm (c) 38 sq cm (d) 19 sq cm
  26. 26.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 25 sq cm (c) 10 sq cm (d) 36 sq cm
  27. 27.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 16 cm (b) 26 cm (c) 32 cm (d) 60 cm
  28. 28.A rectangle is 17 cm long and 8 cm wide. What is its perimeter? (a) 42 cm (b) 136 cm (c) 25 cm (d) 50 cm
  29. 29.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 100 sq cm (c) 20 sq cm (d) 40 sq cm
  30. 30.A rectangle is 20 cm long and 5 cm wide. What is its perimeter? (a) 25 cm (b) 50 cm (c) 45 cm (d) 100 cm
  31. 31.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 100 cm (b) 6 cm (c) 12 cm (d) 7 cm
  32. 32.A rectangle has an area of 33 sq cm and a length of 11 cm. What is its width? (a) 22 cm (b) 6 cm (c) 4 cm (d) 3 cm
  33. 33.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 40 cm (b) 24 cm (c) 14 cm (d) 28 cm
  34. 34.A rectangle is 14 cm long and 6 cm wide. What is its area? (a) 84 sq cm (b) 40 sq cm (c) 98 sq cm (d) 20 sq cm
  35. 35.A rectangle is 20 cm long and 7 cm wide. What is its perimeter? (a) 27 cm (b) 140 cm (c) 54 cm (d) 47 cm
  36. 36.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 4 cm (b) 3 cm (c) 6 cm (d) 12 cm
  37. 37.A rectangle has an area of 60 sq cm and a length of 20 cm. What is its width? (a) 4 cm (b) 40 cm (c) 6 cm (d) 3 cm
  38. 38.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 78 sq cm (b) 18 sq cm (c) 36 sq cm (d) 65 sq cm
  39. 39.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 49 sq cm (c) 28 sq cm (d) 64 sq cm
  40. 40.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 81 sq cm (d) 100 sq cm

Answer key

  1. 2 cm
  2. 20 sq cm
  3. 70 sq cm
  4. 169 sq cm
  5. 9 cm
  6. 27 sq cm
  7. 9 cm
  8. 220 sq cm
  9. 64 sq cm
  10. 4 cm
  11. 6 cm
  12. 144 sq cm
  13. 28 cm
  14. 26 cm
  15. 46 cm
  16. 11 cm
  17. 45 sq cm
  18. 40 sq cm
  19. 133 sq cm
  20. 36 sq cm
  21. 52 cm
  22. 60 sq cm
  23. 114 sq cm
  24. 60 sq cm
  25. 88 sq cm
  26. 25 sq cm
  27. 32 cm
  28. 50 cm
  29. 100 sq cm
  30. 50 cm
  31. 6 cm
  32. 3 cm
  33. 28 cm
  34. 84 sq cm
  35. 54 cm
  36. 3 cm
  37. 3 cm
  38. 65 sq cm
  39. 49 sq cm
  40. 81 sq cm

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