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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 894 · 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 19 cm long and 8 cm wide. What is its perimeter? (a) 27 cm (b) 152 cm (c) 54 cm (d) 46 cm
  2. 2.A rectangle is 20 cm long and 9 cm wide. What is its area? (a) 58 sq cm (b) 200 sq cm (c) 180 sq cm (d) 29 sq cm
  3. 3.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 6 cm (b) 2 cm (c) 4 cm (d) 3 cm
  4. 4.A rectangle has an area of 120 sq cm and a length of 15 cm. What is its width? (a) 16 cm (b) 105 cm (c) 8 cm (d) 9 cm
  5. 5.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 36 sq cm (c) 18 sq cm (d) 100 sq cm
  6. 6.A rectangle is 16 cm long and 9 cm wide. What is its area? (a) 25 sq cm (b) 50 sq cm (c) 160 sq cm (d) 144 sq cm
  7. 7.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 28 sq cm (c) 196 sq cm (d) 56 sq cm
  8. 8.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 25 sq cm (c) 36 sq cm (d) 10 sq cm
  9. 9.A rectangle has an area of 54 sq cm and a length of 9 cm. What is its width? (a) 7 cm (b) 12 cm (c) 6 cm (d) 45 cm
  10. 10.A rectangle is 20 cm long and 4 cm wide. What is its perimeter? (a) 80 cm (b) 48 cm (c) 44 cm (d) 24 cm
  11. 11.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 96 sq cm (b) 19 sq cm (c) 38 sq cm (d) 84 sq cm
  12. 12.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 64 sq cm (c) 49 sq cm (d) 28 sq cm
  13. 13.A rectangle is 14 cm long and 2 cm wide. What is its perimeter? (a) 28 cm (b) 30 cm (c) 32 cm (d) 16 cm
  14. 14.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 14 sq cm (b) 33 sq cm (c) 28 sq cm (d) 44 sq cm
  15. 15.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 18 cm (b) 96 cm (c) 10 cm (d) 9 cm
  16. 16.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 144 sq cm (c) 169 sq cm (d) 24 sq cm
  17. 17.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 64 sq cm (c) 81 sq cm (d) 16 sq cm
  18. 18.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 11 sq cm (c) 22 sq cm (d) 32 sq cm
  19. 19.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its width? (a) 8 cm (b) 108 cm (c) 7 cm (d) 14 cm
  20. 20.A rectangle is 13 cm long and 6 cm wide. What is its perimeter? (a) 19 cm (b) 38 cm (c) 32 cm (d) 78 cm
  21. 21.A rectangle has an area of 160 sq cm and a length of 16 cm. What is its width? (a) 10 cm (b) 11 cm (c) 144 cm (d) 20 cm
  22. 22.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 28 sq cm (d) 14 sq cm
  23. 23.A rectangle is 17 cm long and 7 cm wide. What is its area? (a) 119 sq cm (b) 48 sq cm (c) 136 sq cm (d) 24 sq cm
  24. 24.A rectangle has an area of 135 sq cm and a length of 15 cm. What is its width? (a) 120 cm (b) 10 cm (c) 9 cm (d) 18 cm
  25. 25.A rectangle has an area of 114 sq cm and a length of 19 cm. What is its width? (a) 7 cm (b) 95 cm (c) 6 cm (d) 12 cm
  26. 26.A rectangle is 13 cm long and 3 cm wide. What is its perimeter? (a) 16 cm (b) 32 cm (c) 29 cm (d) 39 cm
  27. 27.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 32 cm (b) 12 cm (c) 24 cm (d) 20 cm
  28. 28.A rectangle is 10 cm long and 9 cm wide. What is its perimeter? (a) 38 cm (b) 19 cm (c) 90 cm (d) 29 cm
  29. 29.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 45 sq cm (d) 60 sq cm
  30. 30.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 26 sq cm (b) 40 sq cm (c) 13 sq cm (d) 48 sq cm
  31. 31.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 11 cm (b) 20 cm (c) 10 cm (d) 180 cm
  32. 32.A rectangle is 15 cm long and 8 cm wide. What is its area? (a) 23 sq cm (b) 135 sq cm (c) 46 sq cm (d) 120 sq cm
  33. 33.A rectangle is 13 cm long and 2 cm wide. What is its area? (a) 30 sq cm (b) 26 sq cm (c) 15 sq cm (d) 39 sq cm
  34. 34.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 28 cm (b) 23 cm (c) 14 cm (d) 45 cm
  35. 35.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 38 sq cm (b) 100 sq cm (c) 90 sq cm (d) 19 sq cm
  36. 36.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 256 sq cm (c) 30 sq cm (d) 225 sq cm
  37. 37.A rectangle is 16 cm long and 11 cm wide. What is its area? (a) 192 sq cm (b) 54 sq cm (c) 176 sq cm (d) 27 sq cm
  38. 38.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 30 sq cm (c) 20 sq cm (d) 10 sq cm
  39. 39.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 16 sq cm (d) 24 sq cm
  40. 40.A rectangle has an area of 18 sq cm and a length of 9 cm. What is its width? (a) 9 cm (b) 4 cm (c) 3 cm (d) 2 cm

Answer key

  1. 54 cm
  2. 180 sq cm
  3. 2 cm
  4. 8 cm
  5. 81 sq cm
  6. 144 sq cm
  7. 196 sq cm
  8. 25 sq cm
  9. 6 cm
  10. 48 cm
  11. 84 sq cm
  12. 49 sq cm
  13. 32 cm
  14. 33 sq cm
  15. 9 cm
  16. 144 sq cm
  17. 64 sq cm
  18. 24 sq cm
  19. 7 cm
  20. 38 cm
  21. 10 cm
  22. 24 sq cm
  23. 119 sq cm
  24. 9 cm
  25. 6 cm
  26. 32 cm
  27. 24 cm
  28. 38 cm
  29. 45 sq cm
  30. 40 sq cm
  31. 10 cm
  32. 120 sq cm
  33. 26 sq cm
  34. 28 cm
  35. 90 sq cm
  36. 225 sq cm
  37. 176 sq cm
  38. 24 sq cm
  39. 16 sq cm
  40. 2 cm

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