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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 200 · 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 13 cm long and 8 cm wide. What is its area? (a) 42 sq cm (b) 117 sq cm (c) 21 sq cm (d) 104 sq cm
  2. 2.A rectangle is 12 cm long and 3 cm wide. What is its perimeter? (a) 30 cm (b) 15 cm (c) 27 cm (d) 36 cm
  3. 3.A rectangle is 17 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 102 sq cm (d) 85 sq cm
  4. 4.A rectangle is 18 cm long and 12 cm wide. What is its area? (a) 60 sq cm (b) 234 sq cm (c) 216 sq cm (d) 30 sq cm
  5. 5.A rectangle is 17 cm long and 8 cm wide. What is its area? (a) 25 sq cm (b) 136 sq cm (c) 153 sq cm (d) 50 sq cm
  6. 6.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 13 cm (b) 42 cm (c) 20 cm (d) 26 cm
  7. 7.A rectangle is 17 cm long and 12 cm wide. What is its perimeter? (a) 46 cm (b) 204 cm (c) 58 cm (d) 29 cm
  8. 8.A rectangle has an area of 6 sq cm and a length of 3 cm. What is its width? (a) 2 cm (b) 3 cm (c) 4 cm (d) 1 cm
  9. 9.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 108 cm (b) 10 cm (c) 20 cm (d) 11 cm
  10. 10.A rectangle is 20 cm long and 3 cm wide. What is its perimeter? (a) 23 cm (b) 43 cm (c) 46 cm (d) 60 cm
  11. 11.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 36 sq cm (d) 25 sq cm
  12. 12.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
  13. 13.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 121 sq cm (d) 144 sq cm
  14. 14.A rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 4 cm (b) 6 cm (c) 8 cm (d) 3 cm
  15. 15.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 100 sq cm (c) 40 sq cm (d) 20 sq cm
  16. 16.A rectangle is 17 cm long and 2 cm wide. What is its perimeter? (a) 36 cm (b) 34 cm (c) 19 cm (d) 38 cm
  17. 17.A rectangle has an area of 120 sq cm and a length of 15 cm. What is its width? (a) 8 cm (b) 105 cm (c) 16 cm (d) 9 cm
  18. 18.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 22 cm (b) 160 cm (c) 12 cm (d) 11 cm
  19. 19.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 12 cm (b) 165 cm (c) 24 cm (d) 13 cm
  20. 20.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 18 sq cm (c) 36 sq cm (d) 81 sq cm
  21. 21.A rectangle has an area of 70 sq cm and a length of 14 cm. What is its width? (a) 6 cm (b) 10 cm (c) 5 cm (d) 56 cm
  22. 22.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 10 sq cm (b) 16 sq cm (c) 20 sq cm (d) 24 sq cm
  23. 23.A rectangle has an area of 40 sq cm and a length of 8 cm. What is its width? (a) 5 cm (b) 10 cm (c) 32 cm (d) 6 cm
  24. 24.A rectangle has an area of 16 sq cm and a length of 8 cm. What is its width? (a) 3 cm (b) 8 cm (c) 4 cm (d) 2 cm
  25. 25.A rectangle has an area of 48 sq cm and a length of 12 cm. What is its width? (a) 4 cm (b) 5 cm (c) 36 cm (d) 8 cm
  26. 26.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 16 sq cm (c) 32 sq cm (d) 81 sq cm
  27. 27.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 4 cm (b) 3 cm (c) 6 cm (d) 12 cm
  28. 28.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 30 sq cm (d) 20 sq cm
  29. 29.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
  30. 30.A rectangle has an area of 65 sq cm and a length of 13 cm. What is its width? (a) 52 cm (b) 5 cm (c) 10 cm (d) 6 cm
  31. 31.A rectangle has an area of 160 sq cm and a length of 16 cm. What is its width? (a) 20 cm (b) 11 cm (c) 144 cm (d) 10 cm
  32. 32.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 34 sq cm (b) 81 sq cm (c) 72 sq cm (d) 17 sq cm
  33. 33.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 30 cm (b) 11 cm (c) 22 cm (d) 17 cm
  34. 34.A rectangle has an area of 119 sq cm and a length of 17 cm. What is its width? (a) 14 cm (b) 8 cm (c) 7 cm (d) 102 cm
  35. 35.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 22 cm (b) 28 cm (c) 11 cm (d) 18 cm
  36. 36.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 187 cm (b) 24 cm (c) 12 cm (d) 13 cm
  37. 37.A rectangle has an area of 72 sq cm and a length of 18 cm. What is its width? (a) 8 cm (b) 54 cm (c) 5 cm (d) 4 cm
  38. 38.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
  39. 39.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its width? (a) 3 cm (b) 6 cm (c) 14 cm (d) 4 cm
  40. 40.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 22 sq cm (b) 32 sq cm (c) 11 sq cm (d) 24 sq cm

Answer key

  1. 104 sq cm
  2. 30 cm
  3. 85 sq cm
  4. 216 sq cm
  5. 136 sq cm
  6. 26 cm
  7. 58 cm
  8. 2 cm
  9. 10 cm
  10. 46 cm
  11. 25 sq cm
  12. 33 sq cm
  13. 121 sq cm
  14. 3 cm
  15. 100 sq cm
  16. 38 cm
  17. 8 cm
  18. 11 cm
  19. 12 cm
  20. 81 sq cm
  21. 5 cm
  22. 16 sq cm
  23. 5 cm
  24. 2 cm
  25. 4 cm
  26. 64 sq cm
  27. 3 cm
  28. 20 sq cm
  29. 144 sq cm
  30. 5 cm
  31. 10 cm
  32. 72 sq cm
  33. 22 cm
  34. 7 cm
  35. 22 cm
  36. 12 cm
  37. 4 cm
  38. 36 sq cm
  39. 3 cm
  40. 24 sq cm

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