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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 517 · 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 9 cm long and 8 cm wide. What is its area? (a) 81 sq cm (b) 17 sq cm (c) 72 sq cm (d) 34 sq cm
  2. 2.A rectangle is 15 cm long and 5 cm wide. What is its area? (a) 90 sq cm (b) 20 sq cm (c) 75 sq cm (d) 40 sq cm
  3. 3.A rectangle has an area of 144 sq cm and a length of 16 cm. What is its width? (a) 9 cm (b) 128 cm (c) 10 cm (d) 18 cm
  4. 4.A rectangle is 20 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 100 sq cm (c) 48 sq cm (d) 80 sq cm
  5. 5.A rectangle has an area of 45 sq cm and a length of 9 cm. What is its width? (a) 6 cm (b) 36 cm (c) 5 cm (d) 10 cm
  6. 6.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 10 sq cm (c) 25 sq cm (d) 20 sq cm
  7. 7.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 28 sq cm (c) 14 sq cm (d) 49 sq cm
  8. 8.A rectangle has an area of 144 sq cm and a length of 18 cm. What is its width? (a) 16 cm (b) 8 cm (c) 9 cm (d) 126 cm
  9. 9.A rectangle is 20 cm long and 2 cm wide. What is its area? (a) 60 sq cm (b) 22 sq cm (c) 44 sq cm (d) 40 sq cm
  10. 10.A rectangle is 16 cm long and 7 cm wide. What is its area? (a) 23 sq cm (b) 128 sq cm (c) 46 sq cm (d) 112 sq cm
  11. 11.A rectangle is 12 cm long and 5 cm wide. What is its area? (a) 17 sq cm (b) 60 sq cm (c) 72 sq cm (d) 34 sq cm
  12. 12.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 54 sq cm (b) 63 sq cm (c) 15 sq cm (d) 30 sq cm
  13. 13.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 11 sq cm (c) 22 sq cm (d) 36 sq cm
  14. 14.A rectangle has an area of 84 sq cm and a length of 12 cm. What is its width? (a) 8 cm (b) 14 cm (c) 72 cm (d) 7 cm
  15. 15.A rectangle is 19 cm long and 8 cm wide. What is its perimeter? (a) 152 cm (b) 54 cm (c) 46 cm (d) 27 cm
  16. 16.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 21 sq cm (b) 110 sq cm (c) 42 sq cm (d) 121 sq cm
  17. 17.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 40 sq cm (c) 100 sq cm (d) 20 sq cm
  18. 18.A rectangle is 20 cm long and 7 cm wide. What is its area? (a) 54 sq cm (b) 140 sq cm (c) 160 sq cm (d) 27 sq cm
  19. 19.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 27 sq cm (b) 18 sq cm (c) 22 sq cm (d) 11 sq cm
  20. 20.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its width? (a) 27 cm (b) 8 cm (c) 4 cm (d) 5 cm
  21. 21.A rectangle is 19 cm long and 3 cm wide. What is its perimeter? (a) 57 cm (b) 44 cm (c) 22 cm (d) 41 cm
  22. 22.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
  23. 23.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 17 cm (c) 10 cm (d) 20 cm
  24. 24.A rectangle is 13 cm long and 6 cm wide. What is its area? (a) 78 sq cm (b) 91 sq cm (c) 38 sq cm (d) 19 sq cm
  25. 25.A rectangle is 18 cm long and 7 cm wide. What is its perimeter? (a) 43 cm (b) 25 cm (c) 126 cm (d) 50 cm
  26. 26.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 20 cm (b) 10 cm (c) 126 cm (d) 11 cm
  27. 27.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 144 sq cm (c) 121 sq cm (d) 44 sq cm
  28. 28.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 52 sq cm (c) 26 sq cm (d) 169 sq cm
  29. 29.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
  30. 30.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 22 cm (b) 120 cm (c) 11 cm (d) 12 cm
  31. 31.A rectangle is 19 cm long and 8 cm wide. What is its area? (a) 171 sq cm (b) 54 sq cm (c) 152 sq cm (d) 27 sq cm
  32. 32.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 13 cm (b) 22 cm (c) 26 cm (d) 24 cm
  33. 33.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 12 cm (c) 20 cm (d) 32 cm
  34. 34.A rectangle is 16 cm long and 3 cm wide. What is its perimeter? (a) 48 cm (b) 19 cm (c) 35 cm (d) 38 cm
  35. 35.A rectangle is 12 cm long and 5 cm wide. What is its perimeter? (a) 29 cm (b) 17 cm (c) 34 cm (d) 60 cm
  36. 36.A rectangle is 16 cm long and 11 cm wide. What is its perimeter? (a) 27 cm (b) 176 cm (c) 54 cm (d) 43 cm
  37. 37.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its width? (a) 6 cm (b) 4 cm (c) 3 cm (d) 24 cm
  38. 38.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
  39. 39.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 46 sq cm (b) 23 sq cm (c) 108 sq cm (d) 90 sq cm
  40. 40.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 26 sq cm (b) 13 sq cm (c) 40 sq cm (d) 30 sq cm

Answer key

  1. 72 sq cm
  2. 75 sq cm
  3. 9 cm
  4. 80 sq cm
  5. 5 cm
  6. 25 sq cm
  7. 49 sq cm
  8. 8 cm
  9. 40 sq cm
  10. 112 sq cm
  11. 60 sq cm
  12. 54 sq cm
  13. 30 sq cm
  14. 7 cm
  15. 54 cm
  16. 110 sq cm
  17. 100 sq cm
  18. 140 sq cm
  19. 18 sq cm
  20. 4 cm
  21. 44 cm
  22. 36 sq cm
  23. 20 cm
  24. 78 sq cm
  25. 50 cm
  26. 10 cm
  27. 121 sq cm
  28. 169 sq cm
  29. 64 sq cm
  30. 11 cm
  31. 152 sq cm
  32. 26 cm
  33. 24 cm
  34. 38 cm
  35. 34 cm
  36. 54 cm
  37. 3 cm
  38. 196 sq cm
  39. 90 sq cm
  40. 30 sq cm

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