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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 559 · 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 24 cm. What is its area? (a) 49 sq cm (b) 24 sq cm (c) 36 sq cm (d) 12 sq cm
  2. 2.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 50 sq cm (d) 40 sq cm
  3. 3.A rectangle is 13 cm long and 2 cm wide. What is its area? (a) 15 sq cm (b) 39 sq cm (c) 26 sq cm (d) 30 sq cm
  4. 4.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 20 cm (c) 12 cm (d) 32 cm
  5. 5.A rectangle is 17 cm long and 12 cm wide. What is its area? (a) 58 sq cm (b) 29 sq cm (c) 221 sq cm (d) 204 sq cm
  6. 6.A rectangle is 14 cm long and 11 cm wide. What is its perimeter? (a) 25 cm (b) 154 cm (c) 39 cm (d) 50 cm
  7. 7.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
  8. 8.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
  9. 9.A rectangle is 18 cm long and 12 cm wide. What is its perimeter? (a) 48 cm (b) 30 cm (c) 216 cm (d) 60 cm
  10. 10.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 40 sq cm (b) 99 sq cm (c) 110 sq cm (d) 20 sq cm
  11. 11.A rectangle is 18 cm long and 8 cm wide. What is its perimeter? (a) 44 cm (b) 144 cm (c) 26 cm (d) 52 cm
  12. 12.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 30 sq cm (c) 60 sq cm (d) 256 sq cm
  13. 13.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 13 sq cm (b) 40 sq cm (c) 26 sq cm (d) 48 sq cm
  14. 14.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 100 sq cm (d) 81 sq cm
  15. 15.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
  16. 16.A rectangle is 18 cm long and 8 cm wide. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 162 sq cm (d) 144 sq cm
  17. 17.A rectangle has an area of 68 sq cm and a length of 17 cm. What is its width? (a) 8 cm (b) 4 cm (c) 5 cm (d) 51 cm
  18. 18.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 52 sq cm (c) 169 sq cm (d) 26 sq cm
  19. 19.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 21 sq cm (b) 10 sq cm (c) 20 sq cm (d) 28 sq cm
  20. 20.A rectangle is 15 cm long and 2 cm wide. What is its perimeter? (a) 32 cm (b) 34 cm (c) 30 cm (d) 17 cm
  21. 21.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
  22. 22.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 8 cm (c) 16 cm (d) 14 cm
  23. 23.A rectangle is 15 cm long and 8 cm wide. What is its area? (a) 135 sq cm (b) 23 sq cm (c) 120 sq cm (d) 46 sq cm
  24. 24.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 30 sq cm (c) 10 sq cm (d) 20 sq cm
  25. 25.A rectangle is 19 cm long and 11 cm wide. What is its area? (a) 60 sq cm (b) 209 sq cm (c) 228 sq cm (d) 30 sq cm
  26. 26.A rectangle has an area of 24 sq cm and a length of 6 cm. What is its width? (a) 5 cm (b) 8 cm (c) 18 cm (d) 4 cm
  27. 27.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its width? (a) 3 cm (b) 24 cm (c) 4 cm (d) 6 cm
  28. 28.A rectangle has an area of 108 sq cm and a length of 18 cm. What is its width? (a) 6 cm (b) 12 cm (c) 7 cm (d) 90 cm
  29. 29.A rectangle is 20 cm long and 6 cm wide. What is its perimeter? (a) 26 cm (b) 46 cm (c) 120 cm (d) 52 cm
  30. 30.A rectangle is 18 cm long and 6 cm wide. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 126 sq cm (d) 108 sq cm
  31. 31.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 20 sq cm (c) 36 sq cm (d) 10 sq cm
  32. 32.A rectangle is 14 cm long and 9 cm wide. What is its perimeter? (a) 23 cm (b) 37 cm (c) 126 cm (d) 46 cm
  33. 33.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
  34. 34.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 63 cm (b) 25 cm (c) 16 cm (d) 32 cm
  35. 35.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 44 sq cm (b) 33 sq cm (c) 28 sq cm (d) 14 sq cm
  36. 36.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 16 cm (b) 6 cm (c) 4 cm (d) 3 cm
  37. 37.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its width? (a) 10 cm (b) 6 cm (c) 5 cm (d) 28 cm
  38. 38.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 40 sq cm (c) 32 sq cm (d) 12 sq cm
  39. 39.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 121 sq cm (c) 20 sq cm (d) 100 sq cm
  40. 40.A rectangle has an area of 30 sq cm and a length of 15 cm. What is its width? (a) 2 cm (b) 4 cm (c) 3 cm (d) 15 cm

Answer key

  1. 36 sq cm
  2. 40 sq cm
  3. 26 sq cm
  4. 24 cm
  5. 204 sq cm
  6. 50 cm
  7. 65 sq cm
  8. 34 cm
  9. 60 cm
  10. 99 sq cm
  11. 52 cm
  12. 225 sq cm
  13. 40 sq cm
  14. 81 sq cm
  15. 144 sq cm
  16. 144 sq cm
  17. 4 cm
  18. 169 sq cm
  19. 21 sq cm
  20. 34 cm
  21. 12 cm
  22. 16 cm
  23. 120 sq cm
  24. 24 sq cm
  25. 209 sq cm
  26. 4 cm
  27. 3 cm
  28. 6 cm
  29. 52 cm
  30. 108 sq cm
  31. 25 sq cm
  32. 46 cm
  33. 196 sq cm
  34. 32 cm
  35. 33 sq cm
  36. 3 cm
  37. 5 cm
  38. 32 sq cm
  39. 100 sq cm
  40. 2 cm

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