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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 47 · 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 rectangle is 16 cm long and 11 cm wide. What is its area? (a) 192 sq cm (b) 27 sq cm (c) 176 sq cm (d) 54 sq cm
  2. 2.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 28 sq cm (c) 49 sq cm (d) 14 sq cm
  3. 3.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 169 sq cm (c) 26 sq cm (d) 52 sq cm
  4. 4.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 28 sq cm (c) 56 sq cm (d) 196 sq cm
  5. 5.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
  6. 6.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 32 sq cm (c) 11 sq cm (d) 22 sq cm
  7. 7.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 11 cm (c) 22 cm (d) 18 cm
  8. 8.A rectangle is 20 cm long and 9 cm wide. What is its perimeter? (a) 49 cm (b) 29 cm (c) 180 cm (d) 58 cm
  9. 9.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 21 sq cm (b) 18 sq cm (c) 14 sq cm (d) 9 sq cm
  10. 10.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 30 cm (b) 23 cm (c) 26 cm (d) 13 cm
  11. 11.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 121 sq cm (c) 40 sq cm (d) 100 sq cm
  12. 12.A rectangle is 16 cm long and 10 cm wide. What is its area? (a) 52 sq cm (b) 176 sq cm (c) 26 sq cm (d) 160 sq cm
  13. 13.A rectangle is 17 cm long and 11 cm wide. What is its perimeter? (a) 28 cm (b) 45 cm (c) 187 cm (d) 56 cm
  14. 14.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 13 cm (b) 187 cm (c) 24 cm (d) 12 cm
  15. 15.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 45 sq cm (c) 18 sq cm (d) 60 sq cm
  16. 16.A rectangle is 14 cm long and 12 cm wide. What is its area? (a) 168 sq cm (b) 52 sq cm (c) 26 sq cm (d) 182 sq cm
  17. 17.A rectangle has an area of 30 sq cm and a length of 15 cm. What is its width? (a) 15 cm (b) 2 cm (c) 3 cm (d) 4 cm
  18. 18.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its width? (a) 6 cm (b) 12 cm (c) 7 cm (d) 40 cm
  19. 19.A rectangle has an area of 60 sq cm and a length of 15 cm. What is its width? (a) 45 cm (b) 8 cm (c) 5 cm (d) 4 cm
  20. 20.A rectangle is 15 cm long and 8 cm wide. What is its area? (a) 46 sq cm (b) 120 sq cm (c) 23 sq cm (d) 135 sq cm
  21. 21.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 10 sq cm (b) 21 sq cm (c) 20 sq cm (d) 28 sq cm
  22. 22.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 18 sq cm (c) 16 sq cm (d) 8 sq cm
  23. 23.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 25 sq cm (c) 36 sq cm (d) 10 sq cm
  24. 24.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 8 cm (b) 21 cm (c) 4 cm (d) 5 cm
  25. 25.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 36 sq cm (c) 12 sq cm (d) 24 sq cm
  26. 26.A rectangle is 13 cm long and 4 cm wide. What is its area? (a) 34 sq cm (b) 52 sq cm (c) 65 sq cm (d) 17 sq cm
  27. 27.A rectangle has an area of 80 sq cm and a length of 10 cm. What is its width? (a) 9 cm (b) 8 cm (c) 70 cm (d) 16 cm
  28. 28.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
  29. 29.A rectangle is 15 cm long and 8 cm wide. What is its perimeter? (a) 46 cm (b) 120 cm (c) 38 cm (d) 23 cm
  30. 30.A rectangle has an area of 152 sq cm and a length of 19 cm. What is its width? (a) 16 cm (b) 9 cm (c) 133 cm (d) 8 cm
  31. 31.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 22 cm (c) 24 cm (d) 11 cm
  32. 32.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 11 cm (b) 12 cm (c) 22 cm (d) 180 cm
  33. 33.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 10 cm (c) 20 cm (d) 16 cm
  34. 34.A rectangle has an area of 10 sq cm and a length of 5 cm. What is its width? (a) 4 cm (b) 2 cm (c) 3 cm (d) 5 cm
  35. 35.A rectangle is 10 cm long and 7 cm wide. What is its perimeter? (a) 27 cm (b) 70 cm (c) 17 cm (d) 34 cm
  36. 36.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 11 sq cm (b) 18 sq cm (c) 22 sq cm (d) 27 sq cm
  37. 37.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 48 sq cm (c) 24 sq cm (d) 144 sq cm
  38. 38.A rectangle has an area of 60 sq cm and a length of 20 cm. What is its width? (a) 3 cm (b) 6 cm (c) 4 cm (d) 40 cm
  39. 39.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 225 sq cm (c) 30 sq cm (d) 256 sq cm
  40. 40.A rectangle is 17 cm long and 6 cm wide. What is its area? (a) 46 sq cm (b) 102 sq cm (c) 23 sq cm (d) 119 sq cm

Answer key

  1. 176 sq cm
  2. 49 sq cm
  3. 169 sq cm
  4. 196 sq cm
  5. 24 cm
  6. 24 sq cm
  7. 22 cm
  8. 58 cm
  9. 14 sq cm
  10. 26 cm
  11. 100 sq cm
  12. 160 sq cm
  13. 56 cm
  14. 12 cm
  15. 45 sq cm
  16. 168 sq cm
  17. 2 cm
  18. 6 cm
  19. 4 cm
  20. 120 sq cm
  21. 21 sq cm
  22. 12 sq cm
  23. 25 sq cm
  24. 4 cm
  25. 36 sq cm
  26. 52 sq cm
  27. 8 cm
  28. 64 sq cm
  29. 46 cm
  30. 8 cm
  31. 22 cm
  32. 11 cm
  33. 20 cm
  34. 2 cm
  35. 34 cm
  36. 18 sq cm
  37. 144 sq cm
  38. 3 cm
  39. 225 sq cm
  40. 102 sq cm

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