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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 307 · 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 44 cm. What is its area? (a) 144 sq cm (b) 22 sq cm (c) 44 sq cm (d) 121 sq cm
  2. 2.A rectangle is 19 cm long and 4 cm wide. What is its perimeter? (a) 42 cm (b) 46 cm (c) 23 cm (d) 76 cm
  3. 3.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 56 sq cm (b) 42 sq cm (c) 34 sq cm (d) 17 sq cm
  4. 4.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 14 cm (b) 8 cm (c) 7 cm (d) 60 cm
  5. 5.A rectangle is 13 cm long and 2 cm wide. What is its area? (a) 30 sq cm (b) 15 sq cm (c) 39 sq cm (d) 26 sq cm
  6. 6.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 225 sq cm (c) 28 sq cm (d) 56 sq cm
  7. 7.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 11 sq cm (b) 18 sq cm (c) 22 sq cm (d) 27 sq cm
  8. 8.A rectangle is 20 cm long and 10 cm wide. What is its perimeter? (a) 30 cm (b) 50 cm (c) 60 cm (d) 200 cm
  9. 9.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
  10. 10.A rectangle is 20 cm long and 8 cm wide. What is its area? (a) 28 sq cm (b) 180 sq cm (c) 160 sq cm (d) 56 sq cm
  11. 11.A rectangle is 20 cm long and 2 cm wide. What is its perimeter? (a) 40 cm (b) 22 cm (c) 42 cm (d) 44 cm
  12. 12.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 13 cm (b) 12 cm (c) 143 cm (d) 24 cm
  13. 13.A rectangle is 14 cm long and 4 cm wide. What is its area? (a) 18 sq cm (b) 56 sq cm (c) 70 sq cm (d) 36 sq cm
  14. 14.A rectangle has an area of 180 sq cm and a length of 18 cm. What is its width? (a) 20 cm (b) 11 cm (c) 162 cm (d) 10 cm
  15. 15.A rectangle is 18 cm long and 3 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 72 sq cm (d) 54 sq cm
  16. 16.A rectangle is 18 cm long and 12 cm wide. What is its perimeter? (a) 30 cm (b) 60 cm (c) 216 cm (d) 48 cm
  17. 17.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 256 sq cm (c) 225 sq cm (d) 30 sq cm
  18. 18.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 16 cm (b) 98 cm (c) 9 cm (d) 8 cm
  19. 19.A rectangle has an area of 48 sq cm and a length of 12 cm. What is its width? (a) 4 cm (b) 5 cm (c) 8 cm (d) 36 cm
  20. 20.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 16 sq cm (c) 32 sq cm (d) 81 sq cm
  21. 21.A rectangle has an area of 70 sq cm and a length of 14 cm. What is its width? (a) 10 cm (b) 6 cm (c) 56 cm (d) 5 cm
  22. 22.A rectangle has an area of 50 sq cm and a length of 10 cm. What is its width? (a) 10 cm (b) 40 cm (c) 5 cm (d) 6 cm
  23. 23.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 10 cm (b) 24 cm (c) 20 cm (d) 16 cm
  24. 24.A rectangle has an area of 39 sq cm and a length of 13 cm. What is its width? (a) 4 cm (b) 3 cm (c) 6 cm (d) 26 cm
  25. 25.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 31 sq cm (b) 62 sq cm (c) 240 sq cm (d) 220 sq cm
  26. 26.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 42 sq cm (b) 108 sq cm (c) 21 sq cm (d) 120 sq cm
  27. 27.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 13 cm (b) 12 cm (c) 24 cm (d) 220 cm
  28. 28.A rectangle is 19 cm long and 3 cm wide. What is its area? (a) 57 sq cm (b) 22 sq cm (c) 44 sq cm (d) 76 sq cm
  29. 29.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 26 sq cm (b) 22 sq cm (c) 13 sq cm (d) 33 sq cm
  30. 30.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 100 sq cm (c) 20 sq cm (d) 40 sq cm
  31. 31.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 20 cm (c) 16 cm (d) 10 cm
  32. 32.A rectangle is 19 cm long and 9 cm wide. What is its perimeter? (a) 28 cm (b) 47 cm (c) 171 cm (d) 56 cm
  33. 33.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 9 cm (b) 14 cm (c) 18 cm (d) 16 cm
  34. 34.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its width? (a) 6 cm (b) 7 cm (c) 12 cm (d) 40 cm
  35. 35.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 64 sq cm (b) 40 sq cm (c) 80 sq cm (d) 20 sq cm
  36. 36.A rectangle is 11 cm long and 6 cm wide. What is its perimeter? (a) 17 cm (b) 28 cm (c) 66 cm (d) 34 cm
  37. 37.A rectangle is 18 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 36 cm (c) 38 cm (d) 40 cm
  38. 38.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 14 sq cm (c) 28 sq cm (d) 49 sq cm
  39. 39.A rectangle has an area of 60 sq cm and a length of 20 cm. What is its width? (a) 6 cm (b) 40 cm (c) 4 cm (d) 3 cm
  40. 40.A rectangle is 19 cm long and 6 cm wide. What is its perimeter? (a) 44 cm (b) 114 cm (c) 50 cm (d) 25 cm

Answer key

  1. 121 sq cm
  2. 46 cm
  3. 42 sq cm
  4. 7 cm
  5. 26 sq cm
  6. 196 sq cm
  7. 18 sq cm
  8. 60 cm
  9. 81 sq cm
  10. 160 sq cm
  11. 44 cm
  12. 12 cm
  13. 56 sq cm
  14. 10 cm
  15. 54 sq cm
  16. 60 cm
  17. 225 sq cm
  18. 8 cm
  19. 4 cm
  20. 64 sq cm
  21. 5 cm
  22. 5 cm
  23. 20 cm
  24. 3 cm
  25. 220 sq cm
  26. 108 sq cm
  27. 12 cm
  28. 57 sq cm
  29. 22 sq cm
  30. 100 sq cm
  31. 20 cm
  32. 56 cm
  33. 18 cm
  34. 6 cm
  35. 64 sq cm
  36. 34 cm
  37. 40 cm
  38. 49 sq cm
  39. 3 cm
  40. 50 cm

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