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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 398 · 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 15 cm long and 11 cm wide. What is its area? (a) 180 sq cm (b) 26 sq cm (c) 52 sq cm (d) 165 sq cm
  2. 2.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 117 sq cm (b) 42 sq cm (c) 104 sq cm (d) 21 sq cm
  3. 3.A rectangle is 14 cm long and 9 cm wide. What is its perimeter? (a) 37 cm (b) 23 cm (c) 46 cm (d) 126 cm
  4. 4.A rectangle is 12 cm long and 10 cm wide. What is its perimeter? (a) 44 cm (b) 120 cm (c) 34 cm (d) 22 cm
  5. 5.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 26 cm (b) 13 cm (c) 40 cm (d) 21 cm
  6. 6.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 14 sq cm (c) 49 sq cm (d) 28 sq cm
  7. 7.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 81 sq cm (d) 64 sq cm
  8. 8.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 100 sq cm (c) 81 sq cm (d) 18 sq cm
  9. 9.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 17 sq cm (b) 34 sq cm (c) 70 sq cm (d) 80 sq cm
  10. 10.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 30 sq cm (c) 60 sq cm (d) 225 sq cm
  11. 11.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 26 cm (b) 24 cm (c) 22 cm (d) 13 cm
  12. 12.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 60 sq cm (b) 32 sq cm (c) 16 sq cm (d) 70 sq cm
  13. 13.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 108 cm (b) 11 cm (c) 10 cm (d) 20 cm
  14. 14.A rectangle is 14 cm long and 6 cm wide. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 98 sq cm (d) 84 sq cm
  15. 15.A rectangle is 13 cm long and 3 cm wide. What is its perimeter? (a) 32 cm (b) 16 cm (c) 29 cm (d) 39 cm
  16. 16.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 32 sq cm (c) 22 sq cm (d) 11 sq cm
  17. 17.A rectangle has an area of 144 sq cm and a length of 18 cm. What is its width? (a) 9 cm (b) 8 cm (c) 16 cm (d) 126 cm
  18. 18.A rectangle has an area of 10 sq cm and a length of 5 cm. What is its width? (a) 5 cm (b) 2 cm (c) 4 cm (d) 3 cm
  19. 19.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 225 sq cm (c) 56 sq cm (d) 28 sq cm
  20. 20.A rectangle has an area of 72 sq cm and a length of 12 cm. What is its width? (a) 60 cm (b) 12 cm (c) 6 cm (d) 7 cm
  21. 21.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
  22. 22.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 16 sq cm (c) 10 sq cm (d) 24 sq cm
  23. 23.A rectangle has an area of 80 sq cm and a length of 10 cm. What is its width? (a) 16 cm (b) 9 cm (c) 70 cm (d) 8 cm
  24. 24.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 18 cm (b) 9 cm (c) 15 cm (d) 19 cm
  25. 25.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 12 cm (b) 200 cm (c) 11 cm (d) 22 cm
  26. 26.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 121 sq cm (c) 40 sq cm (d) 100 sq cm
  27. 27.A rectangle has an area of 120 sq cm and a length of 15 cm. What is its width? (a) 8 cm (b) 16 cm (c) 9 cm (d) 105 cm
  28. 28.A rectangle is 18 cm long and 12 cm wide. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 234 sq cm (d) 216 sq cm
  29. 29.A rectangle has an area of 77 sq cm and a length of 11 cm. What is its width? (a) 66 cm (b) 7 cm (c) 14 cm (d) 8 cm
  30. 30.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 121 sq cm (c) 22 sq cm (d) 144 sq cm
  31. 31.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 22 cm (b) 11 cm (c) 24 cm (d) 19 cm
  32. 32.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 34 cm (b) 26 cm (c) 72 cm (d) 17 cm
  33. 33.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 49 sq cm (c) 12 sq cm (d) 36 sq cm
  34. 34.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 120 sq cm (b) 44 sq cm (c) 22 sq cm (d) 132 sq cm
  35. 35.A rectangle is 18 cm long and 7 cm wide. What is its area? (a) 144 sq cm (b) 25 sq cm (c) 50 sq cm (d) 126 sq cm
  36. 36.A rectangle has an area of 160 sq cm and a length of 20 cm. What is its width? (a) 8 cm (b) 16 cm (c) 9 cm (d) 140 cm
  37. 37.A rectangle is 17 cm long and 6 cm wide. What is its area? (a) 46 sq cm (b) 23 sq cm (c) 119 sq cm (d) 102 sq cm
  38. 38.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 14 sq cm (b) 9 sq cm (c) 21 sq cm (d) 18 sq cm
  39. 39.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 20 sq cm (d) 30 sq cm
  40. 40.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 7 cm (b) 6 cm (c) 70 cm (d) 12 cm

Answer key

  1. 165 sq cm
  2. 104 sq cm
  3. 46 cm
  4. 44 cm
  5. 26 cm
  6. 49 sq cm
  7. 64 sq cm
  8. 81 sq cm
  9. 70 sq cm
  10. 225 sq cm
  11. 26 cm
  12. 60 sq cm
  13. 10 cm
  14. 84 sq cm
  15. 32 cm
  16. 24 sq cm
  17. 8 cm
  18. 2 cm
  19. 196 sq cm
  20. 6 cm
  21. 169 sq cm
  22. 16 sq cm
  23. 8 cm
  24. 18 cm
  25. 11 cm
  26. 100 sq cm
  27. 8 cm
  28. 216 sq cm
  29. 7 cm
  30. 121 sq cm
  31. 22 cm
  32. 34 cm
  33. 36 sq cm
  34. 120 sq cm
  35. 126 sq cm
  36. 8 cm
  37. 102 sq cm
  38. 14 sq cm
  39. 20 sq cm
  40. 6 cm

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