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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 913 · 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) 2 cm (b) 16 cm (c) 4 cm (d) 3 cm
  2. 2.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 18 sq cm (b) 90 sq cm (c) 80 sq cm (d) 36 sq cm
  3. 3.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 24 sq cm (c) 20 sq cm (d) 10 sq cm
  4. 4.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 12 sq cm (c) 24 sq cm (d) 49 sq cm
  5. 5.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 140 sq cm (b) 126 sq cm (c) 23 sq cm (d) 46 sq cm
  6. 6.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 169 sq cm (c) 26 sq cm (d) 196 sq cm
  7. 7.A rectangle has an area of 105 sq cm and a length of 15 cm. What is its width? (a) 90 cm (b) 7 cm (c) 14 cm (d) 8 cm
  8. 8.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 49 sq cm (d) 64 sq cm
  9. 9.A rectangle is 20 cm long and 3 cm wide. What is its area? (a) 80 sq cm (b) 23 sq cm (c) 60 sq cm (d) 46 sq cm
  10. 10.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 22 sq cm (c) 44 sq cm (d) 144 sq cm
  11. 11.A rectangle is 10 cm long and 9 cm wide. What is its perimeter? (a) 19 cm (b) 90 cm (c) 29 cm (d) 38 cm
  12. 12.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 220 sq cm (b) 31 sq cm (c) 240 sq cm (d) 62 sq cm
  13. 13.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
  14. 14.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 4 cm (b) 3 cm (c) 6 cm (d) 2 cm
  15. 15.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 10 cm (c) 20 cm (d) 16 cm
  16. 16.A rectangle is 13 cm long and 2 cm wide. What is its area? (a) 30 sq cm (b) 15 sq cm (c) 39 sq cm (d) 26 sq cm
  17. 17.A rectangle is 20 cm long and 5 cm wide. What is its area? (a) 50 sq cm (b) 25 sq cm (c) 120 sq cm (d) 100 sq cm
  18. 18.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
  19. 19.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 81 sq cm (d) 64 sq cm
  20. 20.A rectangle is 14 cm long and 4 cm wide. What is its perimeter? (a) 18 cm (b) 32 cm (c) 56 cm (d) 36 cm
  21. 21.A rectangle has an area of 128 sq cm and a length of 16 cm. What is its width? (a) 8 cm (b) 16 cm (c) 112 cm (d) 9 cm
  22. 22.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 28 sq cm (b) 22 sq cm (c) 11 sq cm (d) 35 sq cm
  23. 23.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 136 cm (b) 18 cm (c) 9 cm (d) 10 cm
  24. 24.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 12 cm (b) 7 cm (c) 6 cm (d) 100 cm
  25. 25.A rectangle is 13 cm long and 2 cm wide. What is its perimeter? (a) 15 cm (b) 30 cm (c) 26 cm (d) 28 cm
  26. 26.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 196 sq cm (c) 225 sq cm (d) 56 sq cm
  27. 27.A rectangle has an area of 152 sq cm and a length of 19 cm. What is its width? (a) 9 cm (b) 16 cm (c) 133 cm (d) 8 cm
  28. 28.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 9 cm (b) 16 cm (c) 14 cm (d) 18 cm
  29. 29.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 11 sq cm (b) 18 sq cm (c) 27 sq cm (d) 22 sq cm
  30. 30.A rectangle is 12 cm long and 8 cm wide. What is its area? (a) 40 sq cm (b) 108 sq cm (c) 96 sq cm (d) 20 sq cm
  31. 31.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 12 cm (b) 22 cm (c) 11 cm (d) 170 cm
  32. 32.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 8 sq cm (c) 16 sq cm (d) 18 sq cm
  33. 33.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 63 cm (b) 16 cm (c) 25 cm (d) 32 cm
  34. 34.A rectangle is 13 cm long and 12 cm wide. What is its perimeter? (a) 50 cm (b) 38 cm (c) 156 cm (d) 25 cm
  35. 35.A rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 6 cm (b) 8 cm (c) 3 cm (d) 4 cm
  36. 36.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 6 cm (b) 16 cm (c) 3 cm (d) 4 cm
  37. 37.A rectangle has an area of 38 sq cm and a length of 19 cm. What is its width? (a) 2 cm (b) 3 cm (c) 19 cm (d) 4 cm
  38. 38.A rectangle has an area of 80 sq cm and a length of 20 cm. What is its width? (a) 5 cm (b) 8 cm (c) 4 cm (d) 60 cm
  39. 39.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 24 sq cm (c) 12 sq cm (d) 27 sq cm
  40. 40.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 19 sq cm (b) 9 sq cm (c) 24 sq cm (d) 18 sq cm

Answer key

  1. 2 cm
  2. 80 sq cm
  3. 24 sq cm
  4. 36 sq cm
  5. 126 sq cm
  6. 169 sq cm
  7. 7 cm
  8. 49 sq cm
  9. 60 sq cm
  10. 121 sq cm
  11. 38 cm
  12. 220 sq cm
  13. 11 cm
  14. 2 cm
  15. 20 cm
  16. 26 sq cm
  17. 100 sq cm
  18. 144 sq cm
  19. 64 sq cm
  20. 36 cm
  21. 8 cm
  22. 28 sq cm
  23. 9 cm
  24. 6 cm
  25. 30 cm
  26. 196 sq cm
  27. 8 cm
  28. 18 cm
  29. 18 sq cm
  30. 96 sq cm
  31. 11 cm
  32. 12 sq cm
  33. 32 cm
  34. 50 cm
  35. 3 cm
  36. 3 cm
  37. 2 cm
  38. 4 cm
  39. 27 sq cm
  40. 18 sq cm

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