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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 688 · 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 has an area of 39 sq cm and a length of 13 cm. What is its width? (a) 3 cm (b) 4 cm (c) 6 cm (d) 26 cm
  2. 2.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 27 sq cm (b) 12 sq cm (c) 36 sq cm (d) 24 sq cm
  3. 3.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
  4. 4.A rectangle is 11 cm long and 6 cm wide. What is its area? (a) 34 sq cm (b) 17 sq cm (c) 66 sq cm (d) 77 sq cm
  5. 5.A rectangle has an area of 63 sq cm and a length of 9 cm. What is its width? (a) 54 cm (b) 7 cm (c) 8 cm (d) 14 cm
  6. 6.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 14 sq cm (b) 54 sq cm (c) 28 sq cm (d) 45 sq cm
  7. 7.A rectangle is 12 cm long and 5 cm wide. What is its area? (a) 17 sq cm (b) 34 sq cm (c) 60 sq cm (d) 72 sq cm
  8. 8.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 20 cm (c) 10 cm (d) 16 cm
  9. 9.A rectangle is 19 cm long and 10 cm wide. What is its area? (a) 190 sq cm (b) 209 sq cm (c) 29 sq cm (d) 58 sq cm
  10. 10.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 30 sq cm (c) 20 sq cm (d) 12 sq cm
  11. 11.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 22 sq cm (c) 44 sq cm (d) 121 sq cm
  12. 12.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 72 sq cm (b) 34 sq cm (c) 81 sq cm (d) 17 sq cm
  13. 13.A rectangle has an area of 112 sq cm and a length of 16 cm. What is its width? (a) 96 cm (b) 7 cm (c) 14 cm (d) 8 cm
  14. 14.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 225 sq cm (c) 256 sq cm (d) 30 sq cm
  15. 15.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 9 cm (b) 8 cm (c) 16 cm (d) 63 cm
  16. 16.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 18 cm (b) 36 cm (c) 45 cm (d) 33 cm
  17. 17.A rectangle has an area of 16 sq cm and a length of 8 cm. What is its width? (a) 8 cm (b) 4 cm (c) 3 cm (d) 2 cm
  18. 18.A rectangle is 14 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 42 sq cm (c) 32 sq cm (d) 28 sq cm
  19. 19.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 14 cm (c) 9 cm (d) 18 cm
  20. 20.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 23 sq cm (b) 140 sq cm (c) 46 sq cm (d) 126 sq cm
  21. 21.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 187 cm (b) 12 cm (c) 24 cm (d) 13 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 rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 3 cm (b) 4 cm (c) 6 cm (d) 8 cm
  24. 24.A rectangle is 18 cm long and 5 cm wide. What is its perimeter? (a) 90 cm (b) 41 cm (c) 23 cm (d) 46 cm
  25. 25.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 56 sq cm (b) 48 sq cm (c) 28 sq cm (d) 14 sq cm
  26. 26.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 36 sq cm (d) 24 sq cm
  27. 27.A rectangle is 11 cm long and 7 cm wide. What is its area? (a) 88 sq cm (b) 36 sq cm (c) 18 sq cm (d) 77 sq cm
  28. 28.A rectangle is 18 cm long and 12 cm wide. What is its perimeter? (a) 30 cm (b) 60 cm (c) 216 cm (d) 48 cm
  29. 29.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 169 sq cm (d) 196 sq cm
  30. 30.A rectangle has an area of 51 sq cm and a length of 17 cm. What is its width? (a) 4 cm (b) 34 cm (c) 3 cm (d) 6 cm
  31. 31.A rectangle has an area of 34 sq cm and a length of 17 cm. What is its width? (a) 17 cm (b) 2 cm (c) 3 cm (d) 4 cm
  32. 32.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 34 sq cm (b) 80 sq cm (c) 70 sq cm (d) 17 sq cm
  33. 33.A rectangle is 14 cm long and 12 cm wide. What is its perimeter? (a) 52 cm (b) 168 cm (c) 26 cm (d) 40 cm
  34. 34.A rectangle is 18 cm long and 2 cm wide. What is its perimeter? (a) 36 cm (b) 20 cm (c) 40 cm (d) 38 cm
  35. 35.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 64 sq cm (c) 49 sq cm (d) 14 sq cm
  36. 36.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 26 sq cm (b) 13 sq cm (c) 49 sq cm (d) 42 sq cm
  37. 37.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 17 cm (b) 11 cm (c) 30 cm (d) 22 cm
  38. 38.A rectangle has an area of 180 sq cm and a length of 20 cm. What is its width? (a) 9 cm (b) 10 cm (c) 160 cm (d) 18 cm
  39. 39.A rectangle is 19 cm long and 12 cm wide. What is its area? (a) 31 sq cm (b) 62 sq cm (c) 247 sq cm (d) 228 sq cm
  40. 40.A rectangle is 17 cm long and 4 cm wide. What is its perimeter? (a) 21 cm (b) 38 cm (c) 68 cm (d) 42 cm

Answer key

  1. 3 cm
  2. 27 sq cm
  3. 25 sq cm
  4. 66 sq cm
  5. 7 cm
  6. 45 sq cm
  7. 60 sq cm
  8. 20 cm
  9. 190 sq cm
  10. 20 sq cm
  11. 121 sq cm
  12. 72 sq cm
  13. 7 cm
  14. 225 sq cm
  15. 8 cm
  16. 36 cm
  17. 2 cm
  18. 28 sq cm
  19. 18 cm
  20. 126 sq cm
  21. 12 cm
  22. 196 sq cm
  23. 3 cm
  24. 46 cm
  25. 48 sq cm
  26. 24 sq cm
  27. 77 sq cm
  28. 60 cm
  29. 169 sq cm
  30. 3 cm
  31. 2 cm
  32. 70 sq cm
  33. 52 cm
  34. 40 cm
  35. 49 sq cm
  36. 42 sq cm
  37. 22 cm
  38. 9 cm
  39. 228 sq cm
  40. 42 cm

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