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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 66 · 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 20 cm long and 4 cm wide. What is its area? (a) 100 sq cm (b) 24 sq cm (c) 48 sq cm (d) 80 sq cm
  2. 2.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 36 sq cm (d) 49 sq cm
  3. 3.A rectangle has an area of 114 sq cm and a length of 19 cm. What is its width? (a) 7 cm (b) 12 cm (c) 95 cm (d) 6 cm
  4. 4.A rectangle has an area of 104 sq cm and a length of 13 cm. What is its width? (a) 16 cm (b) 8 cm (c) 9 cm (d) 91 cm
  5. 5.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 42 cm (b) 26 cm (c) 13 cm (d) 20 cm
  6. 6.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 225 sq cm (c) 30 sq cm (d) 256 sq cm
  7. 7.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 8 cm (b) 16 cm (c) 77 cm (d) 9 cm
  8. 8.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 169 sq cm (c) 196 sq cm (d) 26 sq cm
  9. 9.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 35 sq cm (b) 11 sq cm (c) 22 sq cm (d) 28 sq cm
  10. 10.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 9 cm (b) 10 cm (c) 18 cm (d) 88 cm
  11. 11.A rectangle has an area of 84 sq cm and a length of 12 cm. What is its width? (a) 7 cm (b) 72 cm (c) 14 cm (d) 8 cm
  12. 12.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 60 cm (b) 8 cm (c) 7 cm (d) 14 cm
  13. 13.A rectangle is 19 cm long and 6 cm wide. What is its perimeter? (a) 25 cm (b) 44 cm (c) 50 cm (d) 114 cm
  14. 14.A rectangle is 18 cm long and 11 cm wide. What is its area? (a) 58 sq cm (b) 29 sq cm (c) 198 sq cm (d) 216 sq cm
  15. 15.A rectangle is 14 cm long and 4 cm wide. What is its area? (a) 70 sq cm (b) 56 sq cm (c) 36 sq cm (d) 18 sq cm
  16. 16.A rectangle is 18 cm long and 9 cm wide. What is its area? (a) 162 sq cm (b) 27 sq cm (c) 54 sq cm (d) 180 sq cm
  17. 17.A rectangle is 11 cm long and 6 cm wide. What is its perimeter? (a) 66 cm (b) 28 cm (c) 17 cm (d) 34 cm
  18. 18.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 10 cm (b) 180 cm (c) 20 cm (d) 11 cm
  19. 19.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 36 sq cm (c) 81 sq cm (d) 18 sq cm
  20. 20.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 45 sq cm (d) 60 sq cm
  21. 21.A rectangle is 18 cm long and 4 cm wide. What is its perimeter? (a) 22 cm (b) 44 cm (c) 72 cm (d) 40 cm
  22. 22.A rectangle is 19 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 95 sq cm (d) 114 sq cm
  23. 23.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
  24. 24.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 169 sq cm (c) 144 sq cm (d) 48 sq cm
  25. 25.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 25 sq cm (c) 36 sq cm (d) 20 sq cm
  26. 26.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 21 sq cm (b) 110 sq cm (c) 42 sq cm (d) 121 sq cm
  27. 27.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 28 sq cm (c) 225 sq cm (d) 56 sq cm
  28. 28.A rectangle is 15 cm long and 10 cm wide. What is its perimeter? (a) 50 cm (b) 25 cm (c) 40 cm (d) 150 cm
  29. 29.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 84 sq cm (b) 19 sq cm (c) 38 sq cm (d) 96 sq cm
  30. 30.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 130 cm (b) 22 cm (c) 11 cm (d) 12 cm
  31. 31.A rectangle is 16 cm long and 10 cm wide. What is its area? (a) 26 sq cm (b) 160 sq cm (c) 52 sq cm (d) 176 sq cm
  32. 32.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 30 sq cm (c) 22 sq cm (d) 11 sq cm
  33. 33.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 8 sq cm (c) 18 sq cm (d) 12 sq cm
  34. 34.A rectangle is 19 cm long and 7 cm wide. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 133 sq cm (d) 152 sq cm
  35. 35.A rectangle is 15 cm long and 6 cm wide. What is its perimeter? (a) 90 cm (b) 42 cm (c) 36 cm (d) 21 cm
  36. 36.A rectangle is 18 cm long and 6 cm wide. What is its perimeter? (a) 24 cm (b) 108 cm (c) 42 cm (d) 48 cm
  37. 37.A rectangle is 16 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 64 cm (c) 36 cm (d) 40 cm
  38. 38.A rectangle has an area of 40 sq cm and a length of 8 cm. What is its width? (a) 5 cm (b) 10 cm (c) 6 cm (d) 32 cm
  39. 39.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 18 cm (c) 14 cm (d) 9 cm
  40. 40.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 11 sq cm (c) 27 sq cm (d) 18 sq cm

Answer key

  1. 80 sq cm
  2. 36 sq cm
  3. 6 cm
  4. 8 cm
  5. 26 cm
  6. 225 sq cm
  7. 8 cm
  8. 169 sq cm
  9. 28 sq cm
  10. 9 cm
  11. 7 cm
  12. 7 cm
  13. 50 cm
  14. 198 sq cm
  15. 56 sq cm
  16. 162 sq cm
  17. 34 cm
  18. 10 cm
  19. 81 sq cm
  20. 45 sq cm
  21. 44 cm
  22. 95 sq cm
  23. 121 sq cm
  24. 144 sq cm
  25. 25 sq cm
  26. 110 sq cm
  27. 196 sq cm
  28. 50 cm
  29. 84 sq cm
  30. 11 cm
  31. 160 sq cm
  32. 30 sq cm
  33. 12 sq cm
  34. 133 sq cm
  35. 42 cm
  36. 48 cm
  37. 40 cm
  38. 5 cm
  39. 18 cm
  40. 18 sq cm

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