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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 183 · 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 6 cm long and 3 cm wide. What is its area? (a) 9 sq cm (b) 24 sq cm (c) 18 sq cm (d) 19 sq cm
  2. 2.A rectangle is 15 cm long and 12 cm wide. What is its area? (a) 195 sq cm (b) 180 sq cm (c) 54 sq cm (d) 27 sq cm
  3. 3.A rectangle is 14 cm long and 6 cm wide. What is its area? (a) 84 sq cm (b) 40 sq cm (c) 20 sq cm (d) 98 sq cm
  4. 4.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 12 cm (c) 24 cm (d) 27 cm
  5. 5.A rectangle is 14 cm long and 2 cm wide. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 28 sq cm (d) 42 sq cm
  6. 6.A rectangle is 19 cm long and 10 cm wide. What is its area? (a) 209 sq cm (b) 29 sq cm (c) 58 sq cm (d) 190 sq cm
  7. 7.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 40 sq cm (d) 50 sq cm
  8. 8.A rectangle is 19 cm long and 6 cm wide. What is its area? (a) 50 sq cm (b) 25 sq cm (c) 114 sq cm (d) 133 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) 64 sq cm (d) 16 sq cm
  10. 10.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 30 sq cm (c) 10 sq cm (d) 24 sq cm
  11. 11.A rectangle is 15 cm long and 4 cm wide. What is its perimeter? (a) 38 cm (b) 60 cm (c) 34 cm (d) 19 cm
  12. 12.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 81 sq cm (c) 36 sq cm (d) 100 sq cm
  13. 13.A rectangle has an area of 32 sq cm and a length of 8 cm. What is its width? (a) 5 cm (b) 4 cm (c) 8 cm (d) 24 cm
  14. 14.A rectangle is 12 cm long and 8 cm wide. What is its area? (a) 20 sq cm (b) 108 sq cm (c) 40 sq cm (d) 96 sq cm
  15. 15.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 121 sq cm (c) 20 sq cm (d) 100 sq cm
  16. 16.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 10 cm (b) 16 cm (c) 18 cm (d) 20 cm
  17. 17.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 22 cm (b) 48 cm (c) 14 cm (d) 28 cm
  18. 18.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 56 sq cm (c) 196 sq cm (d) 28 sq cm
  19. 19.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 176 cm (b) 24 cm (c) 13 cm (d) 12 cm
  20. 20.A rectangle is 20 cm long and 10 cm wide. What is its perimeter? (a) 50 cm (b) 200 cm (c) 60 cm (d) 30 cm
  21. 21.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 48 sq cm (c) 30 sq cm (d) 15 sq cm
  22. 22.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 20 sq cm (c) 25 sq cm (d) 10 sq cm
  23. 23.A rectangle is 11 cm long and 6 cm wide. What is its perimeter? (a) 28 cm (b) 34 cm (c) 66 cm (d) 17 cm
  24. 24.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 24 cm (b) 54 cm (c) 30 cm (d) 15 cm
  25. 25.A rectangle is 18 cm long and 5 cm wide. What is its perimeter? (a) 90 cm (b) 41 cm (c) 23 cm (d) 46 cm
  26. 26.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 76 sq cm (b) 46 sq cm (c) 95 sq cm (d) 23 sq cm
  27. 27.A rectangle is 16 cm long and 9 cm wide. What is its area? (a) 50 sq cm (b) 25 sq cm (c) 160 sq cm (d) 144 sq cm
  28. 28.A rectangle is 16 cm long and 10 cm wide. What is its area? (a) 26 sq cm (b) 160 sq cm (c) 52 sq cm (d) 176 sq cm
  29. 29.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 11 cm (b) 120 cm (c) 12 cm (d) 22 cm
  30. 30.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 36 sq cm (c) 12 sq cm (d) 24 sq cm
  31. 31.A rectangle is 12 cm long and 3 cm wide. What is its perimeter? (a) 15 cm (b) 27 cm (c) 30 cm (d) 36 cm
  32. 32.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
  33. 33.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 256 sq cm (d) 225 sq cm
  34. 34.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 30 sq cm (c) 36 sq cm (d) 11 sq cm
  35. 35.A rectangle has an area of 60 sq cm and a length of 15 cm. What is its width? (a) 8 cm (b) 45 cm (c) 4 cm (d) 5 cm
  36. 36.A rectangle has an area of 80 sq cm and a length of 20 cm. What is its width? (a) 4 cm (b) 60 cm (c) 5 cm (d) 8 cm
  37. 37.A rectangle has an area of 30 sq cm and a length of 15 cm. What is its width? (a) 3 cm (b) 15 cm (c) 2 cm (d) 4 cm
  38. 38.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 30 sq cm (b) 64 sq cm (c) 15 sq cm (d) 56 sq cm
  39. 39.A rectangle is 19 cm long and 7 cm wide. What is its perimeter? (a) 52 cm (b) 26 cm (c) 45 cm (d) 133 cm
  40. 40.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 180 cm (b) 22 cm (c) 11 cm (d) 12 cm

Answer key

  1. 18 sq cm
  2. 180 sq cm
  3. 84 sq cm
  4. 24 cm
  5. 28 sq cm
  6. 190 sq cm
  7. 40 sq cm
  8. 114 sq cm
  9. 64 sq cm
  10. 24 sq cm
  11. 38 cm
  12. 81 sq cm
  13. 4 cm
  14. 96 sq cm
  15. 100 sq cm
  16. 20 cm
  17. 28 cm
  18. 196 sq cm
  19. 12 cm
  20. 60 cm
  21. 36 sq cm
  22. 25 sq cm
  23. 34 cm
  24. 30 cm
  25. 46 cm
  26. 76 sq cm
  27. 144 sq cm
  28. 160 sq cm
  29. 11 cm
  30. 36 sq cm
  31. 30 cm
  32. 169 sq cm
  33. 225 sq cm
  34. 30 sq cm
  35. 4 cm
  36. 4 cm
  37. 2 cm
  38. 56 sq cm
  39. 52 cm
  40. 11 cm

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