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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 16 · 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 28 cm. What is its area? (a) 28 sq cm (b) 49 sq cm (c) 64 sq cm (d) 14 sq cm
  2. 2.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
  3. 3.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 48 sq cm (c) 24 sq cm (d) 169 sq cm
  4. 4.A rectangle is 15 cm long and 5 cm wide. What is its perimeter? (a) 40 cm (b) 35 cm (c) 20 cm (d) 75 cm
  5. 5.A rectangle is 17 cm long and 10 cm wide. What is its perimeter? (a) 27 cm (b) 54 cm (c) 170 cm (d) 44 cm
  6. 6.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 256 sq cm (c) 225 sq cm (d) 30 sq cm
  7. 7.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 24 sq cm (d) 16 sq cm
  8. 8.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 24 cm (b) 143 cm (c) 13 cm (d) 12 cm
  9. 9.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 22 sq cm (b) 24 sq cm (c) 11 sq cm (d) 32 sq cm
  10. 10.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
  11. 11.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 7 cm (b) 12 cm (c) 70 cm (d) 6 cm
  12. 12.A rectangle has an area of 80 sq cm and a length of 16 cm. What is its width? (a) 6 cm (b) 10 cm (c) 64 cm (d) 5 cm
  13. 13.A rectangle is 18 cm long and 3 cm wide. What is its perimeter? (a) 42 cm (b) 21 cm (c) 54 cm (d) 39 cm
  14. 14.A rectangle has an area of 105 sq cm and a length of 15 cm. What is its width? (a) 8 cm (b) 90 cm (c) 7 cm (d) 14 cm
  15. 15.A rectangle is 16 cm long and 6 cm wide. What is its perimeter? (a) 22 cm (b) 96 cm (c) 44 cm (d) 38 cm
  16. 16.A rectangle is 16 cm long and 6 cm wide. What is its area? (a) 96 sq cm (b) 112 sq cm (c) 44 sq cm (d) 22 sq cm
  17. 17.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 11 sq cm (b) 28 sq cm (c) 22 sq cm (d) 35 sq cm
  18. 18.A rectangle has an area of 52 sq cm and a length of 13 cm. What is its width? (a) 5 cm (b) 8 cm (c) 4 cm (d) 39 cm
  19. 19.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 16 cm (c) 14 cm (d) 9 cm
  20. 20.A rectangle is 13 cm long and 10 cm wide. What is its area? (a) 130 sq cm (b) 143 sq cm (c) 23 sq cm (d) 46 sq cm
  21. 21.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 18 cm (c) 9 cm (d) 15 cm
  22. 22.A rectangle is 18 cm long and 4 cm wide. What is its perimeter? (a) 40 cm (b) 72 cm (c) 44 cm (d) 22 cm
  23. 23.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 22 cm (b) 180 cm (c) 11 cm (d) 12 cm
  24. 24.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 10 cm (b) 99 cm (c) 20 cm (d) 11 cm
  25. 25.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 19 sq cm (b) 18 sq cm (c) 9 sq cm (d) 24 sq cm
  26. 26.A rectangle has an area of 85 sq cm and a length of 17 cm. What is its width? (a) 5 cm (b) 10 cm (c) 6 cm (d) 68 cm
  27. 27.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 80 cm (b) 28 cm (c) 36 cm (d) 18 cm
  28. 28.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 22 sq cm (b) 72 sq cm (c) 90 sq cm (d) 44 sq cm
  29. 29.A rectangle is 12 cm long and 6 cm wide. What is its area? (a) 18 sq cm (b) 84 sq cm (c) 72 sq cm (d) 36 sq cm
  30. 30.A rectangle is 13 cm long and 3 cm wide. What is its area? (a) 32 sq cm (b) 52 sq cm (c) 16 sq cm (d) 39 sq cm
  31. 31.A rectangle is 13 cm long and 7 cm wide. What is its area? (a) 91 sq cm (b) 104 sq cm (c) 40 sq cm (d) 20 sq cm
  32. 32.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 100 sq cm (c) 36 sq cm (d) 81 sq cm
  33. 33.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 22 cm (c) 18 cm (d) 11 cm
  34. 34.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 144 sq cm (d) 121 sq cm
  35. 35.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 12 cm (b) 22 cm (c) 11 cm (d) 190 cm
  36. 36.A rectangle is 17 cm long and 5 cm wide. What is its area? (a) 85 sq cm (b) 102 sq cm (c) 44 sq cm (d) 22 sq cm
  37. 37.A rectangle is 11 cm long and 5 cm wide. What is its perimeter? (a) 32 cm (b) 27 cm (c) 16 cm (d) 55 cm
  38. 38.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 28 sq cm (d) 21 sq cm
  39. 39.A rectangle has an area of 75 sq cm and a length of 15 cm. What is its width? (a) 60 cm (b) 10 cm (c) 6 cm (d) 5 cm
  40. 40.A rectangle is 17 cm long and 9 cm wide. What is its area? (a) 153 sq cm (b) 170 sq cm (c) 52 sq cm (d) 26 sq cm

Answer key

  1. 49 sq cm
  2. 66 sq cm
  3. 144 sq cm
  4. 40 cm
  5. 54 cm
  6. 225 sq cm
  7. 16 sq cm
  8. 12 cm
  9. 24 sq cm
  10. 169 sq cm
  11. 6 cm
  12. 5 cm
  13. 42 cm
  14. 7 cm
  15. 44 cm
  16. 96 sq cm
  17. 28 sq cm
  18. 4 cm
  19. 18 cm
  20. 130 sq cm
  21. 18 cm
  22. 44 cm
  23. 11 cm
  24. 10 cm
  25. 18 sq cm
  26. 5 cm
  27. 36 cm
  28. 72 sq cm
  29. 72 sq cm
  30. 39 sq cm
  31. 91 sq cm
  32. 81 sq cm
  33. 22 cm
  34. 121 sq cm
  35. 11 cm
  36. 85 sq cm
  37. 32 cm
  38. 21 sq cm
  39. 5 cm
  40. 153 sq cm

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