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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 325 · 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 20 cm. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 25 sq cm (d) 36 sq cm
  2. 2.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 28 sq cm (c) 64 sq cm (d) 14 sq cm
  3. 3.A rectangle is 17 cm long and 2 cm wide. What is its perimeter? (a) 36 cm (b) 38 cm (c) 19 cm (d) 34 cm
  4. 4.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 100 sq cm (d) 81 sq cm
  5. 5.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 26 cm (b) 17 cm (c) 34 cm (d) 72 cm
  6. 6.A rectangle has an area of 14 sq cm and a length of 7 cm. What is its width? (a) 3 cm (b) 7 cm (c) 2 cm (d) 4 cm
  7. 7.A rectangle is 10 cm long and 7 cm wide. What is its perimeter? (a) 70 cm (b) 27 cm (c) 34 cm (d) 17 cm
  8. 8.A rectangle is 18 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 38 cm (c) 36 cm (d) 40 cm
  9. 9.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its width? (a) 10 cm (b) 28 cm (c) 6 cm (d) 5 cm
  10. 10.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 27 cm (c) 12 cm (d) 24 cm
  11. 11.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 26 sq cm (c) 13 sq cm (d) 33 sq cm
  12. 12.A rectangle is 13 cm long and 12 cm wide. What is its area? (a) 169 sq cm (b) 156 sq cm (c) 25 sq cm (d) 50 sq cm
  13. 13.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 50 sq cm (b) 60 sq cm (c) 30 sq cm (d) 15 sq cm
  14. 14.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 6 cm (c) 70 cm (d) 7 cm
  15. 15.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 48 sq cm (b) 14 sq cm (c) 28 sq cm (d) 56 sq cm
  16. 16.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 24 cm (b) 22 cm (c) 19 cm (d) 11 cm
  17. 17.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 10 cm (b) 18 cm (c) 20 cm (d) 16 cm
  18. 18.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 13 cm (b) 26 cm (c) 36 cm (d) 22 cm
  19. 19.A rectangle is 17 cm long and 8 cm wide. What is its perimeter? (a) 25 cm (b) 136 cm (c) 42 cm (d) 50 cm
  20. 20.A rectangle has an area of 44 sq cm and a length of 11 cm. What is its width? (a) 4 cm (b) 5 cm (c) 8 cm (d) 33 cm
  21. 21.A rectangle is 14 cm long and 2 cm wide. What is its area? (a) 32 sq cm (b) 28 sq cm (c) 16 sq cm (d) 42 sq cm
  22. 22.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 23 cm (b) 30 cm (c) 15 cm (d) 56 cm
  23. 23.A rectangle is 19 cm long and 6 cm wide. What is its perimeter? (a) 50 cm (b) 44 cm (c) 25 cm (d) 114 cm
  24. 24.A rectangle is 17 cm long and 6 cm wide. What is its perimeter? (a) 40 cm (b) 102 cm (c) 46 cm (d) 23 cm
  25. 25.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 95 sq cm (b) 23 sq cm (c) 76 sq cm (d) 46 sq cm
  26. 26.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 21 sq cm (b) 42 sq cm (c) 117 sq cm (d) 104 sq cm
  27. 27.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its width? (a) 35 cm (b) 6 cm (c) 12 cm (d) 7 cm
  28. 28.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 17 cm (b) 10 cm (c) 20 cm (d) 21 cm
  29. 29.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 225 sq cm (c) 60 sq cm (d) 30 sq cm
  30. 30.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 19 sq cm (b) 24 sq cm (c) 18 sq cm (d) 9 sq cm
  31. 31.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 13 cm (b) 24 cm (c) 176 cm (d) 12 cm
  32. 32.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 100 sq cm (d) 121 sq cm
  33. 33.A rectangle has an area of 52 sq cm and a length of 13 cm. What is its width? (a) 4 cm (b) 5 cm (c) 8 cm (d) 39 cm
  34. 34.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 169 sq cm (d) 196 sq cm
  35. 35.A rectangle is 15 cm long and 4 cm wide. What is its area? (a) 19 sq cm (b) 38 sq cm (c) 60 sq cm (d) 75 sq cm
  36. 36.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 49 sq cm (c) 24 sq cm (d) 36 sq cm
  37. 37.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 14 cm (b) 24 cm (c) 28 cm (d) 40 cm
  38. 38.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
  39. 39.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 18 sq cm (c) 16 sq cm (d) 12 sq cm
  40. 40.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

Answer key

  1. 25 sq cm
  2. 49 sq cm
  3. 38 cm
  4. 81 sq cm
  5. 34 cm
  6. 2 cm
  7. 34 cm
  8. 40 cm
  9. 5 cm
  10. 24 cm
  11. 22 sq cm
  12. 156 sq cm
  13. 50 sq cm
  14. 6 cm
  15. 48 sq cm
  16. 22 cm
  17. 20 cm
  18. 26 cm
  19. 50 cm
  20. 4 cm
  21. 28 sq cm
  22. 30 cm
  23. 50 cm
  24. 46 cm
  25. 76 sq cm
  26. 104 sq cm
  27. 6 cm
  28. 20 cm
  29. 225 sq cm
  30. 18 sq cm
  31. 12 cm
  32. 100 sq cm
  33. 4 cm
  34. 169 sq cm
  35. 60 sq cm
  36. 36 sq cm
  37. 28 cm
  38. 2 cm
  39. 12 sq cm
  40. 144 sq cm

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