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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 258 · 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 square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 49 sq cm (c) 36 sq cm (d) 12 sq cm
  2. 2.A rectangle is 17 cm long and 9 cm wide. What is its area? (a) 153 sq cm (b) 52 sq cm (c) 170 sq cm (d) 26 sq cm
  3. 3.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 14 sq cm (b) 33 sq cm (c) 44 sq cm (d) 28 sq cm
  4. 4.A rectangle is 18 cm long and 2 cm wide. What is its perimeter? (a) 40 cm (b) 36 cm (c) 20 cm (d) 38 cm
  5. 5.A rectangle is 17 cm long and 2 cm wide. What is its perimeter? (a) 36 cm (b) 19 cm (c) 38 cm (d) 34 cm
  6. 6.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 15 cm (b) 56 cm (c) 23 cm (d) 30 cm
  7. 7.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 52 sq cm (c) 26 sq cm (d) 196 sq cm
  8. 8.A rectangle is 11 cm long and 5 cm wide. What is its area? (a) 66 sq cm (b) 32 sq cm (c) 55 sq cm (d) 16 sq cm
  9. 9.A rectangle is 12 cm long and 9 cm wide. What is its perimeter? (a) 21 cm (b) 42 cm (c) 108 cm (d) 33 cm
  10. 10.A rectangle is 16 cm long and 5 cm wide. What is its perimeter? (a) 21 cm (b) 42 cm (c) 80 cm (d) 37 cm
  11. 11.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 14 cm (c) 16 cm (d) 8 cm
  12. 12.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 62 sq cm (b) 31 sq cm (c) 220 sq cm (d) 240 sq cm
  13. 13.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 27 sq cm (c) 11 sq cm (d) 18 sq cm
  14. 14.A rectangle is 13 cm long and 7 cm wide. What is its area? (a) 20 sq cm (b) 104 sq cm (c) 40 sq cm (d) 91 sq cm
  15. 15.A rectangle has an area of 20 sq cm and a length of 10 cm. What is its width? (a) 2 cm (b) 4 cm (c) 10 cm (d) 3 cm
  16. 16.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 11 cm (b) 10 cm (c) 20 cm (d) 180 cm
  17. 17.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
  18. 18.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 26 sq cm (b) 49 sq cm (c) 42 sq cm (d) 13 sq cm
  19. 19.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 81 sq cm (c) 18 sq cm (d) 100 sq cm
  20. 20.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 19 sq cm (c) 9 sq cm (d) 18 sq cm
  21. 21.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 81 sq cm (b) 72 sq cm (c) 34 sq cm (d) 17 sq cm
  22. 22.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 20 sq cm (c) 40 sq cm (d) 121 sq cm
  23. 23.A rectangle is 20 cm long and 2 cm wide. What is its perimeter? (a) 42 cm (b) 40 cm (c) 22 cm (d) 44 cm
  24. 24.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 154 cm (b) 13 cm (c) 24 cm (d) 12 cm
  25. 25.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 20 cm (c) 12 cm (d) 32 cm
  26. 26.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 25 sq cm (c) 20 sq cm (d) 10 sq cm
  27. 27.A rectangle is 15 cm long and 10 cm wide. What is its area? (a) 50 sq cm (b) 165 sq cm (c) 150 sq cm (d) 25 sq cm
  28. 28.A rectangle is 18 cm long and 9 cm wide. What is its area? (a) 162 sq cm (b) 27 sq cm (c) 180 sq cm (d) 54 sq cm
  29. 29.A rectangle is 19 cm long and 4 cm wide. What is its perimeter? (a) 42 cm (b) 46 cm (c) 76 cm (d) 23 cm
  30. 30.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
  31. 31.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 36 sq cm (b) 90 sq cm (c) 18 sq cm (d) 80 sq cm
  32. 32.A rectangle is 20 cm long and 3 cm wide. What is its area? (a) 23 sq cm (b) 46 sq cm (c) 80 sq cm (d) 60 sq cm
  33. 33.A rectangle is 16 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 34 cm (c) 36 cm (d) 32 cm
  34. 34.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 12 cm (b) 22 cm (c) 11 cm (d) 190 cm
  35. 35.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
  36. 36.A rectangle has an area of 30 sq cm and a length of 15 cm. What is its width? (a) 2 cm (b) 3 cm (c) 15 cm (d) 4 cm
  37. 37.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
  38. 38.A rectangle is 14 cm long and 11 cm wide. What is its area? (a) 168 sq cm (b) 50 sq cm (c) 25 sq cm (d) 154 sq cm
  39. 39.A rectangle is 20 cm long and 6 cm wide. What is its area? (a) 120 sq cm (b) 140 sq cm (c) 52 sq cm (d) 26 sq cm
  40. 40.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 34 cm (b) 17 cm (c) 26 cm (d) 72 cm

Answer key

  1. 36 sq cm
  2. 153 sq cm
  3. 33 sq cm
  4. 40 cm
  5. 38 cm
  6. 30 cm
  7. 169 sq cm
  8. 55 sq cm
  9. 42 cm
  10. 42 cm
  11. 16 cm
  12. 220 sq cm
  13. 18 sq cm
  14. 91 sq cm
  15. 2 cm
  16. 10 cm
  17. 14 sq cm
  18. 42 sq cm
  19. 81 sq cm
  20. 18 sq cm
  21. 72 sq cm
  22. 100 sq cm
  23. 44 cm
  24. 12 cm
  25. 24 cm
  26. 25 sq cm
  27. 150 sq cm
  28. 162 sq cm
  29. 46 cm
  30. 49 sq cm
  31. 80 sq cm
  32. 60 sq cm
  33. 36 cm
  34. 11 cm
  35. 225 sq cm
  36. 2 cm
  37. 54 cm
  38. 154 sq cm
  39. 120 sq cm
  40. 34 cm

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