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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 77 · 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 14 cm long and 10 cm wide. What is its perimeter? (a) 48 cm (b) 38 cm (c) 140 cm (d) 24 cm
  2. 2.A rectangle has an area of 22 sq cm and a length of 11 cm. What is its width? (a) 11 cm (b) 3 cm (c) 4 cm (d) 2 cm
  3. 3.A rectangle is 14 cm long and 8 cm wide. What is its perimeter? (a) 44 cm (b) 36 cm (c) 112 cm (d) 22 cm
  4. 4.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 18 sq cm (b) 78 sq cm (c) 36 sq cm (d) 65 sq cm
  5. 5.A rectangle is 18 cm long and 6 cm wide. What is its perimeter? (a) 48 cm (b) 42 cm (c) 108 cm (d) 24 cm
  6. 6.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 144 sq cm (c) 24 sq cm (d) 48 sq cm
  7. 7.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 100 sq cm (c) 18 sq cm (d) 81 sq cm
  8. 8.A rectangle is 20 cm long and 7 cm wide. What is its perimeter? (a) 140 cm (b) 27 cm (c) 47 cm (d) 54 cm
  9. 9.A rectangle is 11 cm long and 8 cm wide. What is its perimeter? (a) 30 cm (b) 88 cm (c) 38 cm (d) 19 cm
  10. 10.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 30 cm (b) 23 cm (c) 56 cm (d) 15 cm
  11. 11.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 169 sq cm (c) 26 sq cm (d) 196 sq cm
  12. 12.A rectangle is 20 cm long and 2 cm wide. What is its area? (a) 60 sq cm (b) 44 sq cm (c) 40 sq cm (d) 22 sq cm
  13. 13.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 14 cm (b) 60 cm (c) 7 cm (d) 8 cm
  14. 14.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 40 sq cm (c) 20 sq cm (d) 121 sq cm
  15. 15.A rectangle is 17 cm long and 9 cm wide. What is its area? (a) 170 sq cm (b) 26 sq cm (c) 153 sq cm (d) 52 sq cm
  16. 16.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 15 sq cm (b) 60 sq cm (c) 30 sq cm (d) 50 sq cm
  17. 17.A rectangle is 18 cm long and 11 cm wide. What is its area? (a) 29 sq cm (b) 58 sq cm (c) 216 sq cm (d) 198 sq cm
  18. 18.A rectangle is 14 cm long and 12 cm wide. What is its perimeter? (a) 40 cm (b) 168 cm (c) 52 cm (d) 26 cm
  19. 19.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 256 sq cm (c) 225 sq cm (d) 60 sq cm
  20. 20.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 14 cm (c) 8 cm (d) 16 cm
  21. 21.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 49 sq cm (d) 36 sq cm
  22. 22.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 17 cm (b) 10 cm (c) 21 cm (d) 20 cm
  23. 23.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
  24. 24.A rectangle is 18 cm long and 8 cm wide. What is its area? (a) 162 sq cm (b) 26 sq cm (c) 52 sq cm (d) 144 sq cm
  25. 25.A rectangle has an area of 40 sq cm and a length of 8 cm. What is its width? (a) 32 cm (b) 6 cm (c) 10 cm (d) 5 cm
  26. 26.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 24 cm (b) 15 cm (c) 54 cm (d) 30 cm
  27. 27.A rectangle has an area of 144 sq cm and a length of 16 cm. What is its width? (a) 10 cm (b) 18 cm (c) 128 cm (d) 9 cm
  28. 28.A rectangle has an area of 30 sq cm and a length of 15 cm. What is its width? (a) 3 cm (b) 2 cm (c) 15 cm (d) 4 cm
  29. 29.A rectangle is 11 cm long and 6 cm wide. What is its perimeter? (a) 17 cm (b) 28 cm (c) 66 cm (d) 34 cm
  30. 30.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 21 sq cm (b) 14 sq cm (c) 18 sq cm (d) 9 sq cm
  31. 31.A rectangle is 18 cm long and 6 cm wide. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 108 sq cm (d) 126 sq cm
  32. 32.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
  33. 33.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 32 cm (b) 16 cm (c) 26 cm (d) 60 cm
  34. 34.A rectangle has an area of 20 sq cm and a length of 10 cm. What is its width? (a) 4 cm (b) 3 cm (c) 10 cm (d) 2 cm
  35. 35.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 18 cm (b) 9 cm (c) 10 cm (d) 136 cm
  36. 36.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 22 sq cm (c) 36 sq cm (d) 11 sq cm
  37. 37.A rectangle is 14 cm long and 7 cm wide. What is its area? (a) 98 sq cm (b) 21 sq cm (c) 112 sq cm (d) 42 sq cm
  38. 38.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 121 sq cm (c) 44 sq cm (d) 144 sq cm
  39. 39.A rectangle has an area of 68 sq cm and a length of 17 cm. What is its width? (a) 5 cm (b) 4 cm (c) 51 cm (d) 8 cm
  40. 40.A rectangle is 16 cm long and 2 cm wide. What is its perimeter? (a) 32 cm (b) 18 cm (c) 34 cm (d) 36 cm

Answer key

  1. 48 cm
  2. 2 cm
  3. 44 cm
  4. 65 sq cm
  5. 48 cm
  6. 144 sq cm
  7. 81 sq cm
  8. 54 cm
  9. 38 cm
  10. 30 cm
  11. 169 sq cm
  12. 40 sq cm
  13. 7 cm
  14. 100 sq cm
  15. 153 sq cm
  16. 50 sq cm
  17. 198 sq cm
  18. 52 cm
  19. 225 sq cm
  20. 16 cm
  21. 36 sq cm
  22. 20 cm
  23. 10 cm
  24. 144 sq cm
  25. 5 cm
  26. 30 cm
  27. 9 cm
  28. 2 cm
  29. 34 cm
  30. 14 sq cm
  31. 108 sq cm
  32. 20 sq cm
  33. 32 cm
  34. 2 cm
  35. 9 cm
  36. 30 sq cm
  37. 98 sq cm
  38. 121 sq cm
  39. 4 cm
  40. 36 cm

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