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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 378 · 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 40 cm. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 121 sq cm (d) 100 sq cm
  2. 2.A rectangle is 17 cm long and 12 cm wide. What is its area? (a) 221 sq cm (b) 29 sq cm (c) 58 sq cm (d) 204 sq cm
  3. 3.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 78 sq cm (b) 65 sq cm (c) 36 sq cm (d) 18 sq cm
  4. 4.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 64 sq cm (c) 16 sq cm (d) 81 sq cm
  5. 5.A rectangle is 13 cm long and 10 cm wide. What is its area? (a) 143 sq cm (b) 46 sq cm (c) 130 sq cm (d) 23 sq cm
  6. 6.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 10 cm (b) 96 cm (c) 18 cm (d) 9 cm
  7. 7.A rectangle is 14 cm long and 4 cm wide. What is its perimeter? (a) 18 cm (b) 56 cm (c) 36 cm (d) 32 cm
  8. 8.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 35 sq cm (b) 24 sq cm (c) 12 sq cm (d) 42 sq cm
  9. 9.A rectangle is 17 cm long and 2 cm wide. What is its perimeter? (a) 38 cm (b) 19 cm (c) 34 cm (d) 36 cm
  10. 10.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 24 cm (b) 13 cm (c) 143 cm (d) 12 cm
  11. 11.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 42 cm (b) 26 cm (c) 13 cm (d) 20 cm
  12. 12.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 81 sq cm (c) 18 sq cm (d) 100 sq cm
  13. 13.A rectangle has an area of 38 sq cm and a length of 19 cm. What is its width? (a) 2 cm (b) 19 cm (c) 3 cm (d) 4 cm
  14. 14.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 36 sq cm (b) 24 sq cm (c) 28 sq cm (d) 14 sq cm
  15. 15.A rectangle is 16 cm long and 11 cm wide. What is its perimeter? (a) 27 cm (b) 176 cm (c) 54 cm (d) 43 cm
  16. 16.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 8 cm (c) 12 cm (d) 14 cm
  17. 17.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 144 sq cm (d) 169 sq cm
  18. 18.A rectangle is 19 cm long and 11 cm wide. What is its perimeter? (a) 209 cm (b) 60 cm (c) 49 cm (d) 30 cm
  19. 19.A rectangle is 18 cm long and 5 cm wide. What is its perimeter? (a) 46 cm (b) 41 cm (c) 90 cm (d) 23 cm
  20. 20.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 24 cm (b) 12 cm (c) 187 cm (d) 13 cm
  21. 21.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) 12 cm (d) 176 cm
  22. 22.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 196 sq cm (d) 225 sq cm
  23. 23.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 49 sq cm (c) 12 sq cm (d) 36 sq cm
  24. 24.A rectangle is 14 cm long and 11 cm wide. What is its perimeter? (a) 50 cm (b) 25 cm (c) 39 cm (d) 154 cm
  25. 25.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 23 cm (b) 26 cm (c) 30 cm (d) 13 cm
  26. 26.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 49 sq cm (c) 14 sq cm (d) 64 sq cm
  27. 27.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 225 sq cm (d) 256 sq cm
  28. 28.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its width? (a) 3 cm (b) 4 cm (c) 24 cm (d) 6 cm
  29. 29.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 11 cm (b) 20 cm (c) 18 cm (d) 22 cm
  30. 30.A rectangle is 17 cm long and 9 cm wide. What is its area? (a) 170 sq cm (b) 153 sq cm (c) 26 sq cm (d) 52 sq cm
  31. 31.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 48 sq cm (b) 26 sq cm (c) 40 sq cm (d) 13 sq cm
  32. 32.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 121 sq cm (c) 44 sq cm (d) 22 sq cm
  33. 33.A rectangle is 20 cm long and 4 cm wide. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 100 sq cm (d) 80 sq cm
  34. 34.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 11 cm (b) 10 cm (c) 153 cm (d) 20 cm
  35. 35.A rectangle is 16 cm long and 8 cm wide. What is its perimeter? (a) 40 cm (b) 128 cm (c) 48 cm (d) 24 cm
  36. 36.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 99 cm (b) 20 cm (c) 11 cm (d) 10 cm
  37. 37.A rectangle is 19 cm long and 8 cm wide. What is its area? (a) 152 sq cm (b) 171 sq cm (c) 54 sq cm (d) 27 sq cm
  38. 38.A rectangle is 13 cm long and 4 cm wide. What is its area? (a) 34 sq cm (b) 52 sq cm (c) 17 sq cm (d) 65 sq cm
  39. 39.A rectangle has an area of 52 sq cm and a length of 13 cm. What is its width? (a) 8 cm (b) 39 cm (c) 4 cm (d) 5 cm
  40. 40.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 21 sq cm (b) 104 sq cm (c) 42 sq cm (d) 117 sq cm

Answer key

  1. 100 sq cm
  2. 204 sq cm
  3. 65 sq cm
  4. 64 sq cm
  5. 130 sq cm
  6. 9 cm
  7. 36 cm
  8. 35 sq cm
  9. 38 cm
  10. 12 cm
  11. 26 cm
  12. 81 sq cm
  13. 2 cm
  14. 24 sq cm
  15. 54 cm
  16. 16 cm
  17. 144 sq cm
  18. 60 cm
  19. 46 cm
  20. 12 cm
  21. 12 cm
  22. 196 sq cm
  23. 36 sq cm
  24. 50 cm
  25. 26 cm
  26. 49 sq cm
  27. 225 sq cm
  28. 3 cm
  29. 22 cm
  30. 153 sq cm
  31. 40 sq cm
  32. 121 sq cm
  33. 80 sq cm
  34. 10 cm
  35. 48 cm
  36. 10 cm
  37. 152 sq cm
  38. 52 sq cm
  39. 4 cm
  40. 104 sq cm

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