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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 182 · 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 60 cm. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 256 sq cm (d) 225 sq cm
  2. 2.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 10 sq cm (c) 20 sq cm (d) 25 sq cm
  3. 3.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 18 cm (c) 22 cm (d) 11 cm
  4. 4.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its width? (a) 40 cm (b) 6 cm (c) 7 cm (d) 12 cm
  5. 5.A rectangle is 15 cm long and 12 cm wide. What is its perimeter? (a) 54 cm (b) 180 cm (c) 27 cm (d) 42 cm
  6. 6.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 24 sq cm (c) 48 sq cm (d) 169 sq cm
  7. 7.A rectangle is 18 cm long and 11 cm wide. What is its area? (a) 216 sq cm (b) 29 sq cm (c) 198 sq cm (d) 58 sq cm
  8. 8.A rectangle is 15 cm long and 5 cm wide. What is its area? (a) 75 sq cm (b) 40 sq cm (c) 90 sq cm (d) 20 sq cm
  9. 9.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 28 sq cm (d) 21 sq cm
  10. 10.A rectangle is 13 cm long and 9 cm wide. What is its area? (a) 22 sq cm (b) 117 sq cm (c) 130 sq cm (d) 44 sq cm
  11. 11.A rectangle has an area of 20 sq cm and a length of 10 cm. What is its width? (a) 10 cm (b) 4 cm (c) 3 cm (d) 2 cm
  12. 12.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 12 sq cm (b) 27 sq cm (c) 36 sq cm (d) 24 sq cm
  13. 13.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 196 sq cm (c) 28 sq cm (d) 225 sq cm
  14. 14.A rectangle has an area of 98 sq cm and a length of 14 cm. What is its width? (a) 8 cm (b) 14 cm (c) 7 cm (d) 84 cm
  15. 15.A rectangle has an area of 119 sq cm and a length of 17 cm. What is its width? (a) 102 cm (b) 7 cm (c) 8 cm (d) 14 cm
  16. 16.A rectangle is 12 cm long and 5 cm wide. What is its area? (a) 72 sq cm (b) 17 sq cm (c) 34 sq cm (d) 60 sq cm
  17. 17.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 30 cm (b) 17 cm (c) 22 cm (d) 11 cm
  18. 18.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 18 sq cm (b) 45 sq cm (c) 36 sq cm (d) 60 sq cm
  19. 19.A rectangle is 13 cm long and 7 cm wide. What is its area? (a) 20 sq cm (b) 91 sq cm (c) 104 sq cm (d) 40 sq cm
  20. 20.A rectangle has an area of 80 sq cm and a length of 16 cm. What is its width? (a) 10 cm (b) 6 cm (c) 5 cm (d) 64 cm
  21. 21.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 64 sq cm (d) 49 sq cm
  22. 22.A rectangle is 14 cm long and 11 cm wide. What is its area? (a) 50 sq cm (b) 25 sq cm (c) 168 sq cm (d) 154 sq cm
  23. 23.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 18 sq cm (c) 81 sq cm (d) 36 sq cm
  24. 24.A rectangle is 20 cm long and 7 cm wide. What is its perimeter? (a) 47 cm (b) 27 cm (c) 54 cm (d) 140 cm
  25. 25.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 54 sq cm (b) 15 sq cm (c) 63 sq cm (d) 30 sq cm
  26. 26.A rectangle is 19 cm long and 2 cm wide. What is its perimeter? (a) 40 cm (b) 38 cm (c) 42 cm (d) 21 cm
  27. 27.A rectangle is 18 cm long and 11 cm wide. What is its perimeter? (a) 29 cm (b) 47 cm (c) 58 cm (d) 198 cm
  28. 28.A rectangle is 12 cm long and 11 cm wide. What is its area? (a) 23 sq cm (b) 46 sq cm (c) 132 sq cm (d) 144 sq cm
  29. 29.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 18 sq cm (c) 9 sq cm (d) 19 sq cm
  30. 30.A rectangle is 13 cm long and 12 cm wide. What is its area? (a) 169 sq cm (b) 25 sq cm (c) 156 sq cm (d) 50 sq cm
  31. 31.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 44 sq cm (c) 121 sq cm (d) 22 sq cm
  32. 32.A rectangle is 15 cm long and 2 cm wide. What is its perimeter? (a) 32 cm (b) 30 cm (c) 17 cm (d) 34 cm
  33. 33.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 13 cm (b) 24 cm (c) 187 cm (d) 12 cm
  34. 34.A rectangle has an area of 60 sq cm and a length of 12 cm. What is its width? (a) 5 cm (b) 10 cm (c) 48 cm (d) 6 cm
  35. 35.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 12 sq cm (c) 24 sq cm (d) 36 sq cm
  36. 36.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 12 cm (b) 13 cm (c) 220 cm (d) 24 cm
  37. 37.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 48 cm (c) 32 cm (d) 16 cm
  38. 38.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 169 sq cm (c) 52 sq cm (d) 196 sq cm
  39. 39.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 20 sq cm (c) 100 sq cm (d) 40 sq cm
  40. 40.A rectangle is 13 cm long and 8 cm wide. What is its perimeter? (a) 104 cm (b) 34 cm (c) 21 cm (d) 42 cm

Answer key

  1. 225 sq cm
  2. 25 sq cm
  3. 22 cm
  4. 6 cm
  5. 54 cm
  6. 144 sq cm
  7. 198 sq cm
  8. 75 sq cm
  9. 21 sq cm
  10. 117 sq cm
  11. 2 cm
  12. 27 sq cm
  13. 196 sq cm
  14. 7 cm
  15. 7 cm
  16. 60 sq cm
  17. 22 cm
  18. 45 sq cm
  19. 91 sq cm
  20. 5 cm
  21. 49 sq cm
  22. 154 sq cm
  23. 81 sq cm
  24. 54 cm
  25. 54 sq cm
  26. 42 cm
  27. 58 cm
  28. 132 sq cm
  29. 18 sq cm
  30. 156 sq cm
  31. 121 sq cm
  32. 34 cm
  33. 12 cm
  34. 5 cm
  35. 36 sq cm
  36. 12 cm
  37. 32 cm
  38. 169 sq cm
  39. 100 sq cm
  40. 42 cm

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