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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 333 · 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 12 cm long and 3 cm wide. What is its area? (a) 48 sq cm (b) 36 sq cm (c) 30 sq cm (d) 15 sq cm
  2. 2.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 56 sq cm (c) 225 sq cm (d) 28 sq cm
  3. 3.A rectangle is 19 cm long and 3 cm wide. What is its perimeter? (a) 41 cm (b) 44 cm (c) 57 cm (d) 22 cm
  4. 4.A rectangle is 16 cm long and 5 cm wide. What is its area? (a) 80 sq cm (b) 96 sq cm (c) 42 sq cm (d) 21 sq cm
  5. 5.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 72 cm (b) 34 cm (c) 17 cm (d) 26 cm
  6. 6.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 24 cm (b) 26 cm (c) 22 cm (d) 13 cm
  7. 7.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 104 cm (b) 18 cm (c) 9 cm (d) 10 cm
  8. 8.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 4 cm (b) 6 cm (c) 3 cm (d) 2 cm
  9. 9.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 12 sq cm (b) 27 sq cm (c) 24 sq cm (d) 36 sq cm
  10. 10.A rectangle is 11 cm long and 7 cm wide. What is its perimeter? (a) 36 cm (b) 77 cm (c) 29 cm (d) 18 cm
  11. 11.A rectangle has an area of 34 sq cm and a length of 17 cm. What is its width? (a) 3 cm (b) 17 cm (c) 2 cm (d) 4 cm
  12. 12.A rectangle is 12 cm long and 11 cm wide. What is its perimeter? (a) 46 cm (b) 132 cm (c) 23 cm (d) 35 cm
  13. 13.A rectangle has an area of 8 sq cm and a length of 4 cm. What is its width? (a) 4 cm (b) 3 cm (c) 1 cm (d) 2 cm
  14. 14.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 14 cm (c) 12 cm (d) 8 cm
  15. 15.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 16 sq cm (d) 24 sq cm
  16. 16.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 36 sq cm (c) 11 sq cm (d) 30 sq cm
  17. 17.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 26 sq cm (b) 40 sq cm (c) 48 sq cm (d) 13 sq cm
  18. 18.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 52 sq cm (c) 26 sq cm (d) 169 sq cm
  19. 19.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 170 sq cm (b) 187 sq cm (c) 54 sq cm (d) 27 sq cm
  20. 20.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 25 sq cm (c) 20 sq cm (d) 10 sq cm
  21. 21.A rectangle is 18 cm long and 8 cm wide. What is its area? (a) 26 sq cm (b) 162 sq cm (c) 52 sq cm (d) 144 sq cm
  22. 22.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 10 cm (b) 11 cm (c) 126 cm (d) 20 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 rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 22 cm (b) 130 cm (c) 11 cm (d) 12 cm
  25. 25.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
  26. 26.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 24 sq cm (c) 48 sq cm (d) 144 sq cm
  27. 27.A rectangle has an area of 48 sq cm and a length of 16 cm. What is its width? (a) 4 cm (b) 6 cm (c) 32 cm (d) 3 cm
  28. 28.A rectangle is 11 cm long and 4 cm wide. What is its perimeter? (a) 44 cm (b) 15 cm (c) 30 cm (d) 26 cm
  29. 29.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 13 cm (b) 22 cm (c) 26 cm (d) 36 cm
  30. 30.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 22 cm (b) 11 cm (c) 12 cm (d) 150 cm
  31. 31.A rectangle is 15 cm long and 5 cm wide. What is its area? (a) 20 sq cm (b) 90 sq cm (c) 40 sq cm (d) 75 sq cm
  32. 32.A rectangle has an area of 32 sq cm and a length of 16 cm. What is its width? (a) 16 cm (b) 3 cm (c) 4 cm (d) 2 cm
  33. 33.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 18 cm (b) 22 cm (c) 11 cm (d) 28 cm
  34. 34.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 54 cm (b) 15 cm (c) 24 cm (d) 30 cm
  35. 35.A rectangle is 20 cm long and 6 cm wide. What is its area? (a) 52 sq cm (b) 120 sq cm (c) 140 sq cm (d) 26 sq cm
  36. 36.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 12 sq cm (c) 36 sq cm (d) 24 sq cm
  37. 37.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 81 sq cm (c) 16 sq cm (d) 64 sq cm
  38. 38.A rectangle is 15 cm long and 6 cm wide. What is its area? (a) 90 sq cm (b) 105 sq cm (c) 21 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) 22 cm (b) 11 cm (c) 160 cm (d) 12 cm
  40. 40.A rectangle has an area of 60 sq cm and a length of 12 cm. What is its width? (a) 6 cm (b) 48 cm (c) 10 cm (d) 5 cm

Answer key

  1. 36 sq cm
  2. 196 sq cm
  3. 44 cm
  4. 80 sq cm
  5. 34 cm
  6. 26 cm
  7. 9 cm
  8. 2 cm
  9. 27 sq cm
  10. 36 cm
  11. 2 cm
  12. 46 cm
  13. 2 cm
  14. 16 cm
  15. 16 sq cm
  16. 30 sq cm
  17. 40 sq cm
  18. 169 sq cm
  19. 170 sq cm
  20. 25 sq cm
  21. 144 sq cm
  22. 10 cm
  23. 121 sq cm
  24. 11 cm
  25. 49 sq cm
  26. 144 sq cm
  27. 3 cm
  28. 30 cm
  29. 26 cm
  30. 11 cm
  31. 75 sq cm
  32. 2 cm
  33. 22 cm
  34. 30 cm
  35. 120 sq cm
  36. 36 sq cm
  37. 64 sq cm
  38. 90 sq cm
  39. 11 cm
  40. 5 cm

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