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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 675 · 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 16 cm long and 11 cm wide. What is its area? (a) 192 sq cm (b) 176 sq cm (c) 54 sq cm (d) 27 sq cm
  2. 2.A rectangle is 13 cm long and 4 cm wide. What is its area? (a) 52 sq cm (b) 34 sq cm (c) 17 sq cm (d) 65 sq cm
  3. 3.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 11 cm (b) 153 cm (c) 10 cm (d) 20 cm
  4. 4.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 28 sq cm (c) 56 sq cm (d) 196 sq cm
  5. 5.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 84 sq cm (b) 96 sq cm (c) 19 sq cm (d) 38 sq cm
  6. 6.A rectangle is 14 cm long and 11 cm wide. What is its perimeter? (a) 154 cm (b) 50 cm (c) 39 cm (d) 25 cm
  7. 7.A rectangle is 11 cm long and 7 cm wide. What is its perimeter? (a) 77 cm (b) 36 cm (c) 18 cm (d) 29 cm
  8. 8.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 32 sq cm (b) 40 sq cm (c) 12 sq cm (d) 24 sq cm
  9. 9.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 10 cm (b) 18 cm (c) 96 cm (d) 9 cm
  10. 10.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 36 sq cm (c) 24 sq cm (d) 49 sq cm
  11. 11.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 14 sq cm (b) 40 sq cm (c) 50 sq cm (d) 28 sq cm
  12. 12.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 22 cm (b) 28 cm (c) 18 cm (d) 11 cm
  13. 13.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 26 cm (c) 13 cm (d) 24 cm
  14. 14.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 4 cm (b) 16 cm (c) 3 cm (d) 6 cm
  15. 15.A rectangle is 14 cm long and 3 cm wide. What is its perimeter? (a) 31 cm (b) 34 cm (c) 17 cm (d) 42 cm
  16. 16.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
  17. 17.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 12 cm (b) 11 cm (c) 22 cm (d) 160 cm
  18. 18.A rectangle is 18 cm long and 12 cm wide. What is its perimeter? (a) 216 cm (b) 48 cm (c) 30 cm (d) 60 cm
  19. 19.A rectangle is 18 cm long and 3 cm wide. What is its area? (a) 21 sq cm (b) 72 sq cm (c) 54 sq cm (d) 42 sq cm
  20. 20.A rectangle has an area of 140 sq cm and a length of 20 cm. What is its width? (a) 7 cm (b) 8 cm (c) 14 cm (d) 120 cm
  21. 21.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 24 sq cm (c) 144 sq cm (d) 48 sq cm
  22. 22.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 42 sq cm (b) 17 sq cm (c) 56 sq cm (d) 34 sq cm
  23. 23.A rectangle is 16 cm long and 6 cm wide. What is its perimeter? (a) 96 cm (b) 22 cm (c) 38 cm (d) 44 cm
  24. 24.A rectangle is 12 cm long and 3 cm wide. What is its perimeter? (a) 27 cm (b) 15 cm (c) 36 cm (d) 30 cm
  25. 25.A rectangle is 11 cm long and 8 cm wide. What is its perimeter? (a) 19 cm (b) 88 cm (c) 38 cm (d) 30 cm
  26. 26.A rectangle is 16 cm long and 2 cm wide. What is its area? (a) 48 sq cm (b) 32 sq cm (c) 18 sq cm (d) 36 sq cm
  27. 27.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 225 sq cm (c) 256 sq cm (d) 30 sq cm
  28. 28.A rectangle is 19 cm long and 6 cm wide. What is its area? (a) 50 sq cm (b) 133 sq cm (c) 25 sq cm (d) 114 sq cm
  29. 29.A rectangle is 15 cm long and 9 cm wide. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 150 sq cm (d) 135 sq cm
  30. 30.A rectangle has an area of 64 sq cm and a length of 16 cm. What is its width? (a) 8 cm (b) 5 cm (c) 4 cm (d) 48 cm
  31. 31.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 17 cm (b) 10 cm (c) 21 cm (d) 20 cm
  32. 32.A rectangle has an area of 63 sq cm and a length of 9 cm. What is its width? (a) 14 cm (b) 54 cm (c) 8 cm (d) 7 cm
  33. 33.A rectangle is 13 cm long and 6 cm wide. What is its perimeter? (a) 78 cm (b) 38 cm (c) 32 cm (d) 19 cm
  34. 34.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 15 cm (b) 25 cm (c) 30 cm (d) 50 cm
  35. 35.A rectangle has an area of 96 sq cm and a length of 16 cm. What is its width? (a) 80 cm (b) 7 cm (c) 12 cm (d) 6 cm
  36. 36.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 68 sq cm (b) 51 sq cm (c) 20 sq cm (d) 40 sq cm
  37. 37.A rectangle is 18 cm long and 7 cm wide. What is its area? (a) 25 sq cm (b) 144 sq cm (c) 50 sq cm (d) 126 sq cm
  38. 38.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 23 cm (b) 15 cm (c) 30 cm (d) 56 cm
  39. 39.A rectangle has an area of 72 sq cm and a length of 12 cm. What is its width? (a) 7 cm (b) 12 cm (c) 60 cm (d) 6 cm
  40. 40.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 24 sq cm (d) 16 sq cm

Answer key

  1. 176 sq cm
  2. 52 sq cm
  3. 10 cm
  4. 196 sq cm
  5. 84 sq cm
  6. 50 cm
  7. 36 cm
  8. 32 sq cm
  9. 9 cm
  10. 36 sq cm
  11. 40 sq cm
  12. 22 cm
  13. 26 cm
  14. 3 cm
  15. 34 cm
  16. 81 sq cm
  17. 11 cm
  18. 60 cm
  19. 54 sq cm
  20. 7 cm
  21. 144 sq cm
  22. 42 sq cm
  23. 44 cm
  24. 30 cm
  25. 38 cm
  26. 32 sq cm
  27. 225 sq cm
  28. 114 sq cm
  29. 135 sq cm
  30. 4 cm
  31. 20 cm
  32. 7 cm
  33. 38 cm
  34. 30 cm
  35. 6 cm
  36. 51 sq cm
  37. 126 sq cm
  38. 30 cm
  39. 6 cm
  40. 16 sq cm

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