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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 594 · 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) 12 sq cm (b) 49 sq cm (c) 24 sq cm (d) 36 sq cm
  2. 2.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 81 sq cm (c) 16 sq cm (d) 32 sq cm
  3. 3.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 18 sq cm (c) 12 sq cm (d) 8 sq cm
  4. 4.A rectangle is 14 cm long and 10 cm wide. What is its perimeter? (a) 48 cm (b) 24 cm (c) 140 cm (d) 38 cm
  5. 5.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 11 cm (b) 140 cm (c) 22 cm (d) 12 cm
  6. 6.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 225 sq cm (c) 56 sq cm (d) 196 sq cm
  7. 7.A rectangle is 18 cm long and 9 cm wide. What is its perimeter? (a) 45 cm (b) 27 cm (c) 54 cm (d) 162 cm
  8. 8.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 30 sq cm (c) 11 sq cm (d) 36 sq cm
  9. 9.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 36 sq cm (c) 100 sq cm (d) 18 sq cm
  10. 10.A rectangle is 11 cm long and 7 cm wide. What is its area? (a) 18 sq cm (b) 88 sq cm (c) 77 sq cm (d) 36 sq cm
  11. 11.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 256 sq cm (c) 225 sq cm (d) 30 sq cm
  12. 12.A rectangle is 17 cm long and 11 cm wide. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 187 sq cm (d) 204 sq cm
  13. 13.A rectangle is 19 cm long and 10 cm wide. What is its perimeter? (a) 58 cm (b) 48 cm (c) 29 cm (d) 190 cm
  14. 14.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 90 sq cm (b) 18 sq cm (c) 80 sq cm (d) 36 sq cm
  15. 15.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 36 sq cm (c) 25 sq cm (d) 10 sq cm
  16. 16.A rectangle has an area of 8 sq cm and a length of 4 cm. What is its width? (a) 1 cm (b) 3 cm (c) 4 cm (d) 2 cm
  17. 17.A rectangle is 18 cm long and 2 cm wide. What is its area? (a) 54 sq cm (b) 20 sq cm (c) 36 sq cm (d) 40 sq cm
  18. 18.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 14 sq cm (b) 9 sq cm (c) 18 sq cm (d) 21 sq cm
  19. 19.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 126 sq cm (b) 140 sq cm (c) 46 sq cm (d) 23 sq cm
  20. 20.A rectangle is 18 cm long and 12 cm wide. What is its perimeter? (a) 30 cm (b) 216 cm (c) 60 cm (d) 48 cm
  21. 21.A rectangle is 14 cm long and 2 cm wide. What is its area? (a) 42 sq cm (b) 32 sq cm (c) 28 sq cm (d) 16 sq cm
  22. 22.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 14 sq cm (c) 28 sq cm (d) 49 sq cm
  23. 23.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 196 sq cm (c) 52 sq cm (d) 26 sq cm
  24. 24.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 209 cm (b) 13 cm (c) 12 cm (d) 24 cm
  25. 25.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 16 cm (b) 8 cm (c) 9 cm (d) 77 cm
  26. 26.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 15 cm (b) 30 cm (c) 23 cm (d) 56 cm
  27. 27.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 42 sq cm (b) 24 sq cm (c) 35 sq cm (d) 12 sq cm
  28. 28.A rectangle is 19 cm long and 6 cm wide. What is its area? (a) 50 sq cm (b) 133 sq cm (c) 114 sq cm (d) 25 sq cm
  29. 29.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 11 cm (b) 20 cm (c) 180 cm (d) 10 cm
  30. 30.A rectangle is 13 cm long and 9 cm wide. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 130 sq cm (d) 117 sq cm
  31. 31.A rectangle has an area of 45 sq cm and a length of 15 cm. What is its width? (a) 3 cm (b) 30 cm (c) 4 cm (d) 6 cm
  32. 32.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 22 cm (b) 12 cm (c) 200 cm (d) 11 cm
  33. 33.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 24 cm (b) 154 cm (c) 13 cm (d) 12 cm
  34. 34.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 30 cm (b) 26 cm (c) 13 cm (d) 23 cm
  35. 35.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 22 cm (b) 150 cm (c) 11 cm (d) 12 cm
  36. 36.A rectangle is 18 cm long and 10 cm wide. What is its area? (a) 28 sq cm (b) 198 sq cm (c) 56 sq cm (d) 180 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 is 13 cm long and 4 cm wide. What is its perimeter? (a) 30 cm (b) 34 cm (c) 17 cm (d) 52 cm
  39. 39.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 8 cm (b) 63 cm (c) 16 cm (d) 9 cm
  40. 40.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 44 sq cm (c) 22 sq cm (d) 144 sq cm

Answer key

  1. 36 sq cm
  2. 64 sq cm
  3. 12 sq cm
  4. 48 cm
  5. 11 cm
  6. 196 sq cm
  7. 54 cm
  8. 30 sq cm
  9. 81 sq cm
  10. 77 sq cm
  11. 225 sq cm
  12. 187 sq cm
  13. 58 cm
  14. 80 sq cm
  15. 25 sq cm
  16. 2 cm
  17. 36 sq cm
  18. 14 sq cm
  19. 126 sq cm
  20. 60 cm
  21. 28 sq cm
  22. 49 sq cm
  23. 169 sq cm
  24. 12 cm
  25. 8 cm
  26. 30 cm
  27. 35 sq cm
  28. 114 sq cm
  29. 10 cm
  30. 117 sq cm
  31. 3 cm
  32. 11 cm
  33. 12 cm
  34. 26 cm
  35. 11 cm
  36. 180 sq cm
  37. 144 sq cm
  38. 34 cm
  39. 8 cm
  40. 121 sq cm

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