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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 852 · 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 has an area of 60 sq cm and a length of 10 cm. What is its width? (a) 7 cm (b) 50 cm (c) 12 cm (d) 6 cm
  2. 2.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
  3. 3.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 20 cm (b) 11 cm (c) 126 cm (d) 10 cm
  4. 4.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 190 cm (b) 12 cm (c) 11 cm (d) 22 cm
  5. 5.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
  6. 6.A rectangle is 16 cm long and 8 cm wide. What is its perimeter? (a) 24 cm (b) 128 cm (c) 40 cm (d) 48 cm
  7. 7.A rectangle is 18 cm long and 10 cm wide. What is its perimeter? (a) 180 cm (b) 28 cm (c) 46 cm (d) 56 cm
  8. 8.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 17 cm (c) 20 cm (d) 10 cm
  9. 9.A rectangle is 15 cm long and 12 cm wide. What is its perimeter? (a) 27 cm (b) 42 cm (c) 54 cm (d) 180 cm
  10. 10.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 6 cm (b) 7 cm (c) 100 cm (d) 12 cm
  11. 11.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 25 cm (b) 63 cm (c) 32 cm (d) 16 cm
  12. 12.A rectangle is 19 cm long and 2 cm wide. What is its perimeter? (a) 21 cm (b) 38 cm (c) 42 cm (d) 40 cm
  13. 13.A rectangle has an area of 144 sq cm and a length of 18 cm. What is its width? (a) 126 cm (b) 8 cm (c) 16 cm (d) 9 cm
  14. 14.A rectangle is 12 cm long and 11 cm wide. What is its area? (a) 144 sq cm (b) 132 sq cm (c) 46 sq cm (d) 23 sq cm
  15. 15.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 169 sq cm (d) 144 sq cm
  16. 16.A rectangle has an area of 51 sq cm and a length of 17 cm. What is its width? (a) 6 cm (b) 3 cm (c) 34 cm (d) 4 cm
  17. 17.A rectangle is 20 cm long and 3 cm wide. What is its area? (a) 23 sq cm (b) 46 sq cm (c) 60 sq cm (d) 80 sq cm
  18. 18.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 20 sq cm (c) 40 sq cm (d) 100 sq cm
  19. 19.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 22 cm (b) 48 cm (c) 28 cm (d) 14 cm
  20. 20.A rectangle is 11 cm long and 4 cm wide. What is its perimeter? (a) 26 cm (b) 44 cm (c) 30 cm (d) 15 cm
  21. 21.A rectangle is 15 cm long and 6 cm wide. What is its perimeter? (a) 21 cm (b) 90 cm (c) 42 cm (d) 36 cm
  22. 22.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 26 sq cm (c) 52 sq cm (d) 169 sq cm
  23. 23.A rectangle is 14 cm long and 3 cm wide. What is its perimeter? (a) 42 cm (b) 17 cm (c) 34 cm (d) 31 cm
  24. 24.A rectangle has an area of 38 sq cm and a length of 19 cm. What is its width? (a) 4 cm (b) 2 cm (c) 3 cm (d) 19 cm
  25. 25.A rectangle has an area of 91 sq cm and a length of 13 cm. What is its width? (a) 7 cm (b) 8 cm (c) 14 cm (d) 78 cm
  26. 26.A rectangle is 17 cm long and 5 cm wide. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 102 sq cm (d) 85 sq cm
  27. 27.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 30 cm (b) 56 cm (c) 15 cm (d) 23 cm
  28. 28.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
  29. 29.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 100 sq cm (c) 18 sq cm (d) 81 sq cm
  30. 30.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 256 sq cm (c) 60 sq cm (d) 30 sq cm
  31. 31.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 26 sq cm (b) 13 sq cm (c) 33 sq cm (d) 22 sq cm
  32. 32.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 24 cm (b) 13 cm (c) 220 cm (d) 12 cm
  33. 33.A rectangle is 16 cm long and 6 cm wide. What is its area? (a) 112 sq cm (b) 22 sq cm (c) 96 sq cm (d) 44 sq cm
  34. 34.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 144 sq cm (c) 121 sq cm (d) 22 sq cm
  35. 35.A rectangle is 17 cm long and 11 cm wide. What is its area? (a) 204 sq cm (b) 28 sq cm (c) 56 sq cm (d) 187 sq cm
  36. 36.A rectangle is 19 cm long and 3 cm wide. What is its perimeter? (a) 41 cm (b) 57 cm (c) 22 cm (d) 44 cm
  37. 37.A rectangle is 14 cm long and 6 cm wide. What is its perimeter? (a) 84 cm (b) 34 cm (c) 20 cm (d) 40 cm
  38. 38.A rectangle has an area of 80 sq cm and a length of 16 cm. What is its width? (a) 64 cm (b) 5 cm (c) 10 cm (d) 6 cm
  39. 39.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
  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. 6 cm
  2. 11 cm
  3. 10 cm
  4. 11 cm
  5. 49 sq cm
  6. 48 cm
  7. 56 cm
  8. 20 cm
  9. 54 cm
  10. 6 cm
  11. 32 cm
  12. 42 cm
  13. 8 cm
  14. 132 sq cm
  15. 144 sq cm
  16. 3 cm
  17. 60 sq cm
  18. 100 sq cm
  19. 28 cm
  20. 30 cm
  21. 42 cm
  22. 169 sq cm
  23. 34 cm
  24. 2 cm
  25. 7 cm
  26. 85 sq cm
  27. 30 cm
  28. 196 sq cm
  29. 81 sq cm
  30. 225 sq cm
  31. 22 sq cm
  32. 12 cm
  33. 96 sq cm
  34. 121 sq cm
  35. 187 sq cm
  36. 44 cm
  37. 40 cm
  38. 5 cm
  39. 42 cm
  40. 50 cm

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