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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 767 · 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 32 cm. What is its area? (a) 81 sq cm (b) 32 sq cm (c) 16 sq cm (d) 64 sq cm
  2. 2.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 64 sq cm (c) 49 sq cm (d) 14 sq cm
  3. 3.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 8 cm (c) 16 cm (d) 14 cm
  4. 4.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 11 cm (b) 12 cm (c) 22 cm (d) 130 cm
  5. 5.A rectangle has an area of 57 sq cm and a length of 19 cm. What is its width? (a) 4 cm (b) 6 cm (c) 38 cm (d) 3 cm
  6. 6.A rectangle is 13 cm long and 10 cm wide. What is its area? (a) 23 sq cm (b) 130 sq cm (c) 46 sq cm (d) 143 sq cm
  7. 7.A rectangle is 11 cm long and 4 cm wide. What is its area? (a) 44 sq cm (b) 30 sq cm (c) 15 sq cm (d) 55 sq cm
  8. 8.A rectangle is 14 cm long and 9 cm wide. What is its perimeter? (a) 23 cm (b) 126 cm (c) 46 cm (d) 37 cm
  9. 9.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 24 cm (b) 19 cm (c) 35 cm (d) 12 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) 12 cm (c) 100 cm (d) 7 cm
  11. 11.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 18 sq cm (c) 8 sq cm (d) 12 sq cm
  12. 12.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
  13. 13.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 48 sq cm (c) 169 sq cm (d) 24 sq cm
  14. 14.A rectangle is 20 cm long and 2 cm wide. What is its perimeter? (a) 42 cm (b) 40 cm (c) 44 cm (d) 22 cm
  15. 15.A rectangle is 20 cm long and 11 cm wide. What is its perimeter? (a) 51 cm (b) 62 cm (c) 31 cm (d) 220 cm
  16. 16.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 20 sq cm (c) 10 sq cm (d) 36 sq cm
  17. 17.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 19 sq cm (b) 9 sq cm (c) 24 sq cm (d) 18 sq cm
  18. 18.A rectangle has an area of 96 sq cm and a length of 12 cm. What is its width? (a) 16 cm (b) 8 cm (c) 9 cm (d) 84 cm
  19. 19.A rectangle is 16 cm long and 6 cm wide. What is its area? (a) 112 sq cm (b) 44 sq cm (c) 96 sq cm (d) 22 sq cm
  20. 20.A rectangle is 11 cm long and 10 cm wide. What is its perimeter? (a) 110 cm (b) 32 cm (c) 21 cm (d) 42 cm
  21. 21.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 100 sq cm (c) 40 sq cm (d) 20 sq cm
  22. 22.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 81 sq cm (c) 36 sq cm (d) 18 sq cm
  23. 23.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its width? (a) 6 cm (b) 40 cm (c) 7 cm (d) 12 cm
  24. 24.A rectangle is 20 cm long and 7 cm wide. What is its area? (a) 54 sq cm (b) 160 sq cm (c) 140 sq cm (d) 27 sq cm
  25. 25.A rectangle is 15 cm long and 8 cm wide. What is its perimeter? (a) 38 cm (b) 46 cm (c) 120 cm (d) 23 cm
  26. 26.A rectangle has an area of 39 sq cm and a length of 13 cm. What is its width? (a) 3 cm (b) 26 cm (c) 4 cm (d) 6 cm
  27. 27.A rectangle is 11 cm long and 6 cm wide. What is its area? (a) 34 sq cm (b) 66 sq cm (c) 17 sq cm (d) 77 sq cm
  28. 28.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 56 sq cm (d) 48 sq cm
  29. 29.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 21 sq cm (c) 10 sq cm (d) 28 sq cm
  30. 30.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 13 cm (b) 12 cm (c) 24 cm (d) 187 cm
  31. 31.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 120 sq cm (b) 132 sq cm (c) 44 sq cm (d) 22 sq cm
  32. 32.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 21 sq cm (b) 117 sq cm (c) 42 sq cm (d) 104 sq cm
  33. 33.A rectangle has an area of 63 sq cm and a length of 9 cm. What is its width? (a) 8 cm (b) 7 cm (c) 54 cm (d) 14 cm
  34. 34.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 11 cm (c) 20 cm (d) 18 cm
  35. 35.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 35 sq cm (b) 28 sq cm (c) 22 sq cm (d) 11 sq cm
  36. 36.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 48 sq cm (b) 36 sq cm (c) 15 sq cm (d) 30 sq cm
  37. 37.A rectangle is 14 cm long and 5 cm wide. What is its area? (a) 38 sq cm (b) 70 sq cm (c) 84 sq cm (d) 19 sq cm
  38. 38.A rectangle has an area of 24 sq cm and a length of 12 cm. What is its width? (a) 2 cm (b) 3 cm (c) 4 cm (d) 12 cm
  39. 39.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 121 sq cm (c) 22 sq cm (d) 44 sq cm
  40. 40.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 11 cm (b) 12 cm (c) 150 cm (d) 22 cm

Answer key

  1. 64 sq cm
  2. 49 sq cm
  3. 16 cm
  4. 11 cm
  5. 3 cm
  6. 130 sq cm
  7. 44 sq cm
  8. 46 cm
  9. 24 cm
  10. 6 cm
  11. 12 sq cm
  12. 36 sq cm
  13. 144 sq cm
  14. 44 cm
  15. 62 cm
  16. 25 sq cm
  17. 18 sq cm
  18. 8 cm
  19. 96 sq cm
  20. 42 cm
  21. 100 sq cm
  22. 81 sq cm
  23. 6 cm
  24. 140 sq cm
  25. 46 cm
  26. 3 cm
  27. 66 sq cm
  28. 48 sq cm
  29. 21 sq cm
  30. 12 cm
  31. 120 sq cm
  32. 104 sq cm
  33. 7 cm
  34. 22 cm
  35. 28 sq cm
  36. 36 sq cm
  37. 70 sq cm
  38. 2 cm
  39. 121 sq cm
  40. 11 cm

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