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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 823 · 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 6 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 8 sq cm (c) 18 sq cm (d) 16 sq cm
  2. 2.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 20 sq cm (c) 100 sq cm (d) 40 sq cm
  3. 3.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 90 sq cm (d) 72 sq cm
  4. 4.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 44 sq cm (b) 132 sq cm (c) 120 sq cm (d) 22 sq cm
  5. 5.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 64 sq cm (d) 81 sq cm
  6. 6.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 3 cm (b) 12 cm (c) 6 cm (d) 4 cm
  7. 7.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
  8. 8.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 14 sq cm (c) 28 sq cm (d) 64 sq cm
  9. 9.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 81 sq cm (c) 36 sq cm (d) 100 sq cm
  10. 10.A rectangle is 15 cm long and 9 cm wide. What is its area? (a) 150 sq cm (b) 48 sq cm (c) 135 sq cm (d) 24 sq cm
  11. 11.A rectangle is 17 cm long and 11 cm wide. What is its perimeter? (a) 45 cm (b) 28 cm (c) 187 cm (d) 56 cm
  12. 12.A rectangle has an area of 80 sq cm and a length of 20 cm. What is its width? (a) 60 cm (b) 8 cm (c) 4 cm (d) 5 cm
  13. 13.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 144 sq cm (d) 169 sq cm
  14. 14.A rectangle has an area of 24 sq cm and a length of 12 cm. What is its width? (a) 4 cm (b) 3 cm (c) 12 cm (d) 2 cm
  15. 15.A rectangle is 16 cm long and 10 cm wide. What is its area? (a) 176 sq cm (b) 160 sq cm (c) 26 sq cm (d) 52 sq cm
  16. 16.A rectangle is 18 cm long and 8 cm wide. What is its area? (a) 52 sq cm (b) 144 sq cm (c) 162 sq cm (d) 26 sq cm
  17. 17.A rectangle is 18 cm long and 7 cm wide. What is its perimeter? (a) 43 cm (b) 126 cm (c) 25 cm (d) 50 cm
  18. 18.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 45 cm (b) 28 cm (c) 23 cm (d) 14 cm
  19. 19.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 121 sq cm (d) 144 sq cm
  20. 20.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 32 sq cm (b) 72 sq cm (c) 16 sq cm (d) 63 sq cm
  21. 21.A rectangle is 20 cm long and 9 cm wide. What is its perimeter? (a) 29 cm (b) 49 cm (c) 58 cm (d) 180 cm
  22. 22.A rectangle is 11 cm long and 6 cm wide. What is its area? (a) 77 sq cm (b) 17 sq cm (c) 34 sq cm (d) 66 sq cm
  23. 23.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 6 cm (b) 3 cm (c) 4 cm (d) 16 cm
  24. 24.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 10 cm (b) 20 cm (c) 108 cm (d) 11 cm
  25. 25.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 48 sq cm (d) 14 sq cm
  26. 26.A rectangle has an area of 18 sq cm and a length of 9 cm. What is its width? (a) 3 cm (b) 4 cm (c) 9 cm (d) 2 cm
  27. 27.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its width? (a) 6 cm (b) 28 cm (c) 5 cm (d) 10 cm
  28. 28.A rectangle has an area of 16 sq cm and a length of 8 cm. What is its width? (a) 3 cm (b) 4 cm (c) 8 cm (d) 2 cm
  29. 29.A rectangle has an area of 60 sq cm and a length of 15 cm. What is its width? (a) 45 cm (b) 5 cm (c) 8 cm (d) 4 cm
  30. 30.A rectangle is 16 cm long and 11 cm wide. What is its area? (a) 176 sq cm (b) 27 sq cm (c) 54 sq cm (d) 192 sq cm
  31. 31.A rectangle has an area of 32 sq cm and a length of 16 cm. What is its width? (a) 16 cm (b) 2 cm (c) 4 cm (d) 3 cm
  32. 32.A rectangle is 13 cm long and 11 cm wide. What is its perimeter? (a) 24 cm (b) 143 cm (c) 37 cm (d) 48 cm
  33. 33.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 36 sq cm (d) 49 sq cm
  34. 34.A rectangle is 15 cm long and 7 cm wide. What is its area? (a) 120 sq cm (b) 105 sq cm (c) 22 sq cm (d) 44 sq cm
  35. 35.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 28 sq cm (c) 21 sq cm (d) 10 sq cm
  36. 36.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 15 cm (b) 5 cm (c) 8 cm (d) 4 cm
  37. 37.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 13 cm (b) 22 cm (c) 24 cm (d) 26 cm
  38. 38.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 120 sq cm (b) 21 sq cm (c) 108 sq cm (d) 42 sq cm
  39. 39.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 160 cm (b) 11 cm (c) 12 cm (d) 22 cm
  40. 40.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 10 sq cm (c) 24 sq cm (d) 20 sq cm

Answer key

  1. 12 sq cm
  2. 100 sq cm
  3. 72 sq cm
  4. 120 sq cm
  5. 64 sq cm
  6. 3 cm
  7. 196 sq cm
  8. 49 sq cm
  9. 81 sq cm
  10. 135 sq cm
  11. 56 cm
  12. 4 cm
  13. 144 sq cm
  14. 2 cm
  15. 160 sq cm
  16. 144 sq cm
  17. 50 cm
  18. 28 cm
  19. 121 sq cm
  20. 63 sq cm
  21. 58 cm
  22. 66 sq cm
  23. 3 cm
  24. 10 cm
  25. 48 sq cm
  26. 2 cm
  27. 5 cm
  28. 2 cm
  29. 4 cm
  30. 176 sq cm
  31. 2 cm
  32. 48 cm
  33. 36 sq cm
  34. 105 sq cm
  35. 21 sq cm
  36. 4 cm
  37. 26 cm
  38. 108 sq cm
  39. 11 cm
  40. 24 sq cm

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