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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 426 · 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 52 cm. What is its area? (a) 26 sq cm (b) 169 sq cm (c) 196 sq cm (d) 52 sq cm
  2. 2.A rectangle is 14 cm long and 9 cm wide. What is its perimeter? (a) 37 cm (b) 23 cm (c) 126 cm (d) 46 cm
  3. 3.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 35 sq cm (c) 42 sq cm (d) 12 sq cm
  4. 4.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 14 cm (c) 28 cm (d) 40 cm
  5. 5.A rectangle is 15 cm long and 8 cm wide. What is its perimeter? (a) 38 cm (b) 23 cm (c) 46 cm (d) 120 cm
  6. 6.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 81 sq cm (d) 100 sq cm
  7. 7.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 28 sq cm (b) 22 sq cm (c) 11 sq cm (d) 35 sq cm
  8. 8.A rectangle is 13 cm long and 4 cm wide. What is its area? (a) 65 sq cm (b) 52 sq cm (c) 17 sq cm (d) 34 sq cm
  9. 9.A rectangle has an area of 190 sq cm and a length of 19 cm. What is its width? (a) 20 cm (b) 171 cm (c) 10 cm (d) 11 cm
  10. 10.A rectangle is 20 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 100 sq cm (c) 80 sq cm (d) 48 sq cm
  11. 11.A rectangle is 13 cm long and 10 cm wide. What is its area? (a) 46 sq cm (b) 143 sq cm (c) 130 sq cm (d) 23 sq cm
  12. 12.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
  13. 13.A rectangle has an area of 20 sq cm and a length of 10 cm. What is its width? (a) 3 cm (b) 10 cm (c) 4 cm (d) 2 cm
  14. 14.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 49 sq cm (c) 12 sq cm (d) 24 sq cm
  15. 15.A rectangle is 15 cm long and 12 cm wide. What is its perimeter? (a) 180 cm (b) 27 cm (c) 42 cm (d) 54 cm
  16. 16.A rectangle has an area of 114 sq cm and a length of 19 cm. What is its width? (a) 12 cm (b) 6 cm (c) 95 cm (d) 7 cm
  17. 17.A rectangle is 12 cm long and 11 cm wide. What is its area? (a) 46 sq cm (b) 144 sq cm (c) 23 sq cm (d) 132 sq cm
  18. 18.A rectangle is 18 cm long and 7 cm wide. What is its area? (a) 25 sq cm (b) 144 sq cm (c) 126 sq cm (d) 50 sq cm
  19. 19.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 64 sq cm (c) 14 sq cm (d) 49 sq cm
  20. 20.A rectangle has an area of 112 sq cm and a length of 16 cm. What is its width? (a) 14 cm (b) 8 cm (c) 96 cm (d) 7 cm
  21. 21.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 42 sq cm (b) 117 sq cm (c) 104 sq cm (d) 21 sq cm
  22. 22.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 20 sq cm (c) 10 sq cm (d) 25 sq cm
  23. 23.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 121 sq cm (c) 44 sq cm (d) 144 sq cm
  24. 24.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
  25. 25.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 10 cm (b) 18 cm (c) 96 cm (d) 9 cm
  26. 26.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
  27. 27.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 56 sq cm (b) 48 sq cm (c) 28 sq cm (d) 14 sq cm
  28. 28.A rectangle is 14 cm long and 5 cm wide. What is its area? (a) 84 sq cm (b) 70 sq cm (c) 38 sq cm (d) 19 sq cm
  29. 29.A rectangle is 11 cm long and 8 cm wide. What is its area? (a) 88 sq cm (b) 99 sq cm (c) 38 sq cm (d) 19 sq cm
  30. 30.A rectangle is 15 cm long and 9 cm wide. What is its area? (a) 150 sq cm (b) 24 sq cm (c) 48 sq cm (d) 135 sq cm
  31. 31.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 30 sq cm (b) 15 sq cm (c) 54 sq cm (d) 63 sq cm
  32. 32.A rectangle has an area of 68 sq cm and a length of 17 cm. What is its width? (a) 5 cm (b) 8 cm (c) 4 cm (d) 51 cm
  33. 33.A rectangle is 13 cm long and 2 cm wide. What is its area? (a) 15 sq cm (b) 26 sq cm (c) 30 sq cm (d) 39 sq cm
  34. 34.A rectangle is 11 cm long and 7 cm wide. What is its area? (a) 36 sq cm (b) 88 sq cm (c) 18 sq cm (d) 77 sq cm
  35. 35.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 180 cm (b) 12 cm (c) 11 cm (d) 22 cm
  36. 36.A rectangle has an area of 16 sq cm and a length of 8 cm. What is its width? (a) 4 cm (b) 8 cm (c) 2 cm (d) 3 cm
  37. 37.A rectangle has an area of 32 sq cm and a length of 16 cm. What is its width? (a) 16 cm (b) 4 cm (c) 3 cm (d) 2 cm
  38. 38.A rectangle is 18 cm long and 10 cm wide. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 180 sq cm (d) 198 sq cm
  39. 39.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 32 sq cm (b) 24 sq cm (c) 12 sq cm (d) 40 sq cm
  40. 40.A rectangle is 14 cm long and 8 cm wide. What is its area? (a) 126 sq cm (b) 22 sq cm (c) 44 sq cm (d) 112 sq cm

Answer key

  1. 169 sq cm
  2. 46 cm
  3. 35 sq cm
  4. 28 cm
  5. 46 cm
  6. 81 sq cm
  7. 28 sq cm
  8. 52 sq cm
  9. 10 cm
  10. 80 sq cm
  11. 130 sq cm
  12. 30 sq cm
  13. 2 cm
  14. 36 sq cm
  15. 54 cm
  16. 6 cm
  17. 132 sq cm
  18. 126 sq cm
  19. 49 sq cm
  20. 7 cm
  21. 104 sq cm
  22. 25 sq cm
  23. 121 sq cm
  24. 144 sq cm
  25. 9 cm
  26. 16 cm
  27. 48 sq cm
  28. 70 sq cm
  29. 88 sq cm
  30. 135 sq cm
  31. 54 sq cm
  32. 4 cm
  33. 26 sq cm
  34. 77 sq cm
  35. 11 cm
  36. 2 cm
  37. 2 cm
  38. 180 sq cm
  39. 32 sq cm
  40. 112 sq cm

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