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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 904 · 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 11 cm long and 4 cm wide. What is its perimeter? (a) 15 cm (b) 30 cm (c) 26 cm (d) 44 cm
  2. 2.A rectangle is 17 cm long and 10 cm wide. What is its perimeter? (a) 44 cm (b) 54 cm (c) 170 cm (d) 27 cm
  3. 3.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 28 sq cm (b) 35 sq cm (c) 22 sq cm (d) 11 sq cm
  4. 4.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 14 cm (b) 28 cm (c) 45 cm (d) 23 cm
  5. 5.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 110 sq cm (b) 99 sq cm (c) 40 sq cm (d) 20 sq cm
  6. 6.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 26 cm (b) 21 cm (c) 40 cm (d) 13 cm
  7. 7.A rectangle has an area of 50 sq cm and a length of 10 cm. What is its width? (a) 10 cm (b) 5 cm (c) 40 cm (d) 6 cm
  8. 8.A rectangle is 13 cm long and 5 cm wide. What is its perimeter? (a) 31 cm (b) 36 cm (c) 65 cm (d) 18 cm
  9. 9.A rectangle is 13 cm long and 4 cm wide. What is its perimeter? (a) 30 cm (b) 17 cm (c) 52 cm (d) 34 cm
  10. 10.A rectangle is 20 cm long and 3 cm wide. What is its perimeter? (a) 46 cm (b) 60 cm (c) 23 cm (d) 43 cm
  11. 11.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 28 sq cm (c) 10 sq cm (d) 21 sq cm
  12. 12.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 27 sq cm (b) 12 sq cm (c) 36 sq cm (d) 24 sq cm
  13. 13.A rectangle is 16 cm long and 7 cm wide. What is its area? (a) 23 sq cm (b) 128 sq cm (c) 46 sq cm (d) 112 sq cm
  14. 14.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 42 cm (b) 20 cm (c) 26 cm (d) 13 cm
  15. 15.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
  16. 16.A rectangle is 14 cm long and 6 cm wide. What is its perimeter? (a) 34 cm (b) 20 cm (c) 40 cm (d) 84 cm
  17. 17.A rectangle is 15 cm long and 4 cm wide. What is its area? (a) 60 sq cm (b) 38 sq cm (c) 75 sq cm (d) 19 sq cm
  18. 18.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 12 cm (b) 180 cm (c) 22 cm (d) 11 cm
  19. 19.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 36 sq cm (b) 80 sq cm (c) 90 sq cm (d) 18 sq cm
  20. 20.A rectangle is 11 cm long and 4 cm wide. What is its area? (a) 55 sq cm (b) 15 sq cm (c) 30 sq cm (d) 44 sq cm
  21. 21.A rectangle is 15 cm long and 7 cm wide. What is its area? (a) 22 sq cm (b) 120 sq cm (c) 105 sq cm (d) 44 sq cm
  22. 22.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 48 sq cm (c) 169 sq cm (d) 24 sq cm
  23. 23.A rectangle has an area of 42 sq cm and a length of 14 cm. What is its width? (a) 28 cm (b) 4 cm (c) 3 cm (d) 6 cm
  24. 24.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 36 sq cm (d) 49 sq cm
  25. 25.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 30 sq cm (c) 256 sq cm (d) 60 sq cm
  26. 26.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 52 sq cm (c) 26 sq cm (d) 169 sq cm
  27. 27.A rectangle is 16 cm long and 7 cm wide. What is its perimeter? (a) 112 cm (b) 39 cm (c) 46 cm (d) 23 cm
  28. 28.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 15 sq cm (b) 50 sq cm (c) 60 sq cm (d) 30 sq cm
  29. 29.A rectangle is 20 cm long and 11 cm wide. What is its perimeter? (a) 62 cm (b) 220 cm (c) 51 cm (d) 31 cm
  30. 30.A rectangle has an area of 54 sq cm and a length of 18 cm. What is its width? (a) 36 cm (b) 6 cm (c) 3 cm (d) 4 cm
  31. 31.A rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 8 cm (b) 6 cm (c) 3 cm (d) 4 cm
  32. 32.A rectangle is 13 cm long and 11 cm wide. What is its perimeter? (a) 37 cm (b) 48 cm (c) 24 cm (d) 143 cm
  33. 33.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 21 sq cm (b) 9 sq cm (c) 14 sq cm (d) 18 sq cm
  34. 34.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 22 sq cm (b) 132 sq cm (c) 44 sq cm (d) 120 sq cm
  35. 35.A rectangle has an area of 72 sq cm and a length of 12 cm. What is its width? (a) 6 cm (b) 60 cm (c) 12 cm (d) 7 cm
  36. 36.A rectangle is 17 cm long and 11 cm wide. What is its area? (a) 28 sq cm (b) 204 sq cm (c) 187 sq cm (d) 56 sq cm
  37. 37.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 33 sq cm (b) 28 sq cm (c) 14 sq cm (d) 44 sq cm
  38. 38.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 196 sq cm (c) 28 sq cm (d) 56 sq cm
  39. 39.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 60 sq cm (b) 36 sq cm (c) 45 sq cm (d) 18 sq cm
  40. 40.A rectangle is 19 cm long and 9 cm wide. What is its area? (a) 171 sq cm (b) 28 sq cm (c) 56 sq cm (d) 190 sq cm

Answer key

  1. 30 cm
  2. 54 cm
  3. 28 sq cm
  4. 28 cm
  5. 99 sq cm
  6. 26 cm
  7. 5 cm
  8. 36 cm
  9. 34 cm
  10. 46 cm
  11. 21 sq cm
  12. 27 sq cm
  13. 112 sq cm
  14. 26 cm
  15. 81 sq cm
  16. 40 cm
  17. 60 sq cm
  18. 11 cm
  19. 80 sq cm
  20. 44 sq cm
  21. 105 sq cm
  22. 144 sq cm
  23. 3 cm
  24. 36 sq cm
  25. 225 sq cm
  26. 169 sq cm
  27. 46 cm
  28. 50 sq cm
  29. 62 cm
  30. 3 cm
  31. 3 cm
  32. 48 cm
  33. 14 sq cm
  34. 120 sq cm
  35. 6 cm
  36. 187 sq cm
  37. 33 sq cm
  38. 196 sq cm
  39. 45 sq cm
  40. 171 sq cm

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