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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 322 · 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 26 sq cm and a length of 13 cm. What is its width? (a) 3 cm (b) 2 cm (c) 4 cm (d) 13 cm
  2. 2.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 16 sq cm (b) 63 sq cm (c) 72 sq cm (d) 32 sq cm
  3. 3.A rectangle is 16 cm long and 10 cm wide. What is its perimeter? (a) 42 cm (b) 52 cm (c) 160 cm (d) 26 cm
  4. 4.A rectangle is 11 cm long and 4 cm wide. What is its area? (a) 55 sq cm (b) 44 sq cm (c) 30 sq cm (d) 15 sq cm
  5. 5.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 169 sq cm (d) 196 sq cm
  6. 6.A rectangle is 18 cm long and 9 cm wide. What is its perimeter? (a) 27 cm (b) 162 cm (c) 45 cm (d) 54 cm
  7. 7.A rectangle is 17 cm long and 9 cm wide. What is its area? (a) 153 sq cm (b) 170 sq cm (c) 52 sq cm (d) 26 sq cm
  8. 8.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 200 cm (b) 12 cm (c) 11 cm (d) 22 cm
  9. 9.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 15 sq cm (c) 60 sq cm (d) 50 sq cm
  10. 10.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
  11. 11.A rectangle is 12 cm long and 11 cm wide. What is its area? (a) 23 sq cm (b) 132 sq cm (c) 46 sq cm (d) 144 sq cm
  12. 12.A rectangle has an area of 140 sq cm and a length of 20 cm. What is its width? (a) 120 cm (b) 7 cm (c) 8 cm (d) 14 cm
  13. 13.A rectangle has an area of 72 sq cm and a length of 12 cm. What is its width? (a) 60 cm (b) 6 cm (c) 7 cm (d) 12 cm
  14. 14.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 78 sq cm (d) 65 sq cm
  15. 15.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 9 cm (c) 18 cm (d) 16 cm
  16. 16.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 81 sq cm (c) 36 sq cm (d) 100 sq cm
  17. 17.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 104 cm (b) 10 cm (c) 9 cm (d) 18 cm
  18. 18.A rectangle is 13 cm long and 5 cm wide. What is its perimeter? (a) 36 cm (b) 31 cm (c) 65 cm (d) 18 cm
  19. 19.A rectangle has an area of 45 sq cm and a length of 9 cm. What is its width? (a) 10 cm (b) 6 cm (c) 36 cm (d) 5 cm
  20. 20.A rectangle is 18 cm long and 4 cm wide. What is its perimeter? (a) 44 cm (b) 22 cm (c) 40 cm (d) 72 cm
  21. 21.A rectangle has an area of 91 sq cm and a length of 13 cm. What is its width? (a) 78 cm (b) 14 cm (c) 8 cm (d) 7 cm
  22. 22.A rectangle has an area of 32 sq cm and a length of 8 cm. What is its width? (a) 4 cm (b) 8 cm (c) 24 cm (d) 5 cm
  23. 23.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 49 sq cm (c) 64 sq cm (d) 14 sq cm
  24. 24.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 35 sq cm (d) 42 sq cm
  25. 25.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 25 sq cm (c) 36 sq cm (d) 20 sq cm
  26. 26.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 110 sq cm (d) 99 sq cm
  27. 27.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 22 cm (b) 11 cm (c) 30 cm (d) 17 cm
  28. 28.A rectangle is 14 cm long and 12 cm wide. What is its area? (a) 26 sq cm (b) 168 sq cm (c) 182 sq cm (d) 52 sq cm
  29. 29.A rectangle is 17 cm long and 11 cm wide. What is its area? (a) 204 sq cm (b) 28 sq cm (c) 56 sq cm (d) 187 sq cm
  30. 30.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 256 sq cm (d) 225 sq cm
  31. 31.A rectangle is 15 cm long and 7 cm wide. What is its perimeter? (a) 105 cm (b) 44 cm (c) 22 cm (d) 37 cm
  32. 32.A rectangle has an area of 77 sq cm and a length of 11 cm. What is its width? (a) 8 cm (b) 14 cm (c) 7 cm (d) 66 cm
  33. 33.A rectangle is 17 cm long and 3 cm wide. What is its perimeter? (a) 37 cm (b) 40 cm (c) 20 cm (d) 51 cm
  34. 34.A rectangle is 13 cm long and 3 cm wide. What is its perimeter? (a) 16 cm (b) 39 cm (c) 29 cm (d) 32 cm
  35. 35.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 14 sq cm (d) 48 sq cm
  36. 36.A rectangle is 15 cm long and 8 cm wide. What is its perimeter? (a) 120 cm (b) 23 cm (c) 38 cm (d) 46 cm
  37. 37.A rectangle has an area of 105 sq cm and a length of 15 cm. What is its width? (a) 7 cm (b) 14 cm (c) 90 cm (d) 8 cm
  38. 38.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 26 sq cm (b) 45 sq cm (c) 36 sq cm (d) 13 sq cm
  39. 39.A rectangle is 18 cm long and 2 cm wide. What is its perimeter? (a) 40 cm (b) 38 cm (c) 20 cm (d) 36 cm
  40. 40.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

Answer key

  1. 2 cm
  2. 63 sq cm
  3. 52 cm
  4. 44 sq cm
  5. 169 sq cm
  6. 54 cm
  7. 153 sq cm
  8. 11 cm
  9. 50 sq cm
  10. 45 sq cm
  11. 132 sq cm
  12. 7 cm
  13. 6 cm
  14. 65 sq cm
  15. 18 cm
  16. 81 sq cm
  17. 9 cm
  18. 36 cm
  19. 5 cm
  20. 44 cm
  21. 7 cm
  22. 4 cm
  23. 49 sq cm
  24. 35 sq cm
  25. 25 sq cm
  26. 99 sq cm
  27. 22 cm
  28. 168 sq cm
  29. 187 sq cm
  30. 225 sq cm
  31. 44 cm
  32. 7 cm
  33. 40 cm
  34. 32 cm
  35. 48 sq cm
  36. 46 cm
  37. 7 cm
  38. 36 sq cm
  39. 40 cm
  40. 36 sq cm

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