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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 7 · 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) 36 sq cm (b) 49 sq cm (c) 12 sq cm (d) 24 sq cm
  2. 2.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 32 sq cm (c) 16 sq cm (d) 64 sq cm
  3. 3.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 80 sq cm (d) 64 sq cm
  4. 4.A rectangle has an area of 60 sq cm and a length of 20 cm. What is its width? (a) 40 cm (b) 4 cm (c) 3 cm (d) 6 cm
  5. 5.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
  6. 6.A rectangle is 12 cm long and 6 cm wide. What is its perimeter? (a) 18 cm (b) 72 cm (c) 30 cm (d) 36 cm
  7. 7.A rectangle is 16 cm long and 5 cm wide. What is its area? (a) 80 sq cm (b) 42 sq cm (c) 21 sq cm (d) 96 sq cm
  8. 8.A rectangle is 14 cm long and 10 cm wide. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 140 sq cm (d) 154 sq cm
  9. 9.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 12 cm (b) 100 cm (c) 6 cm (d) 7 cm
  10. 10.A rectangle is 19 cm long and 6 cm wide. What is its area? (a) 50 sq cm (b) 133 sq cm (c) 114 sq cm (d) 25 sq cm
  11. 11.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 100 sq cm (c) 121 sq cm (d) 20 sq cm
  12. 12.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 14 sq cm (c) 49 sq cm (d) 28 sq cm
  13. 13.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 21 cm (b) 5 cm (c) 8 cm (d) 4 cm
  14. 14.A rectangle is 11 cm long and 6 cm wide. What is its area? (a) 34 sq cm (b) 77 sq cm (c) 66 sq cm (d) 17 sq cm
  15. 15.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 12 cm (b) 120 cm (c) 11 cm (d) 22 cm
  16. 16.A rectangle is 13 cm long and 4 cm wide. What is its area? (a) 65 sq cm (b) 34 sq cm (c) 52 sq cm (d) 17 sq cm
  17. 17.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) 190 cm (d) 11 cm
  18. 18.A rectangle has an area of 50 sq cm and a length of 10 cm. What is its width? (a) 40 cm (b) 6 cm (c) 10 cm (d) 5 cm
  19. 19.A rectangle has an area of 24 sq cm and a length of 12 cm. What is its width? (a) 3 cm (b) 2 cm (c) 4 cm (d) 12 cm
  20. 20.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 22 sq cm (b) 35 sq cm (c) 11 sq cm (d) 28 sq cm
  21. 21.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 119 cm (b) 8 cm (c) 9 cm (d) 16 cm
  22. 22.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 60 sq cm (c) 225 sq cm (d) 30 sq cm
  23. 23.A rectangle is 20 cm long and 10 cm wide. What is its area? (a) 200 sq cm (b) 60 sq cm (c) 30 sq cm (d) 220 sq cm
  24. 24.A rectangle has an area of 42 sq cm and a length of 14 cm. What is its width? (a) 3 cm (b) 6 cm (c) 28 cm (d) 4 cm
  25. 25.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 42 sq cm (b) 12 sq cm (c) 35 sq cm (d) 24 sq cm
  26. 26.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 169 sq cm (c) 26 sq cm (d) 52 sq cm
  27. 27.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 36 sq cm (c) 10 sq cm (d) 25 sq cm
  28. 28.A rectangle is 15 cm long and 6 cm wide. What is its perimeter? (a) 90 cm (b) 36 cm (c) 21 cm (d) 42 cm
  29. 29.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 144 sq cm (d) 121 sq cm
  30. 30.A rectangle is 14 cm long and 3 cm wide. What is its perimeter? (a) 17 cm (b) 34 cm (c) 31 cm (d) 42 cm
  31. 31.A rectangle is 13 cm long and 6 cm wide. What is its area? (a) 78 sq cm (b) 19 sq cm (c) 91 sq cm (d) 38 sq cm
  32. 32.A rectangle has an area of 52 sq cm and a length of 13 cm. What is its width? (a) 5 cm (b) 8 cm (c) 4 cm (d) 39 cm
  33. 33.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 165 cm (b) 13 cm (c) 24 cm (d) 12 cm
  34. 34.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 32 sq cm (b) 24 sq cm (c) 12 sq cm (d) 40 sq cm
  35. 35.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 36 sq cm (b) 26 sq cm (c) 13 sq cm (d) 45 sq cm
  36. 36.A rectangle is 16 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 40 cm (c) 64 cm (d) 36 cm
  37. 37.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) 14 cm (d) 7 cm
  38. 38.A rectangle has an area of 45 sq cm and a length of 9 cm. What is its width? (a) 6 cm (b) 36 cm (c) 10 cm (d) 5 cm
  39. 39.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 42 cm (b) 13 cm (c) 20 cm (d) 26 cm
  40. 40.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

Answer key

  1. 36 sq cm
  2. 64 sq cm
  3. 64 sq cm
  4. 3 cm
  5. 196 sq cm
  6. 36 cm
  7. 80 sq cm
  8. 140 sq cm
  9. 6 cm
  10. 114 sq cm
  11. 100 sq cm
  12. 49 sq cm
  13. 4 cm
  14. 66 sq cm
  15. 11 cm
  16. 52 sq cm
  17. 11 cm
  18. 5 cm
  19. 2 cm
  20. 28 sq cm
  21. 8 cm
  22. 225 sq cm
  23. 200 sq cm
  24. 3 cm
  25. 35 sq cm
  26. 169 sq cm
  27. 25 sq cm
  28. 42 cm
  29. 121 sq cm
  30. 34 cm
  31. 78 sq cm
  32. 4 cm
  33. 12 cm
  34. 32 sq cm
  35. 36 sq cm
  36. 40 cm
  37. 7 cm
  38. 5 cm
  39. 26 cm
  40. 20 cm

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