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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 916 · 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 11 cm long and 10 cm wide. What is its perimeter? (a) 21 cm (b) 32 cm (c) 110 cm (d) 42 cm
  2. 2.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 225 sq cm (c) 256 sq cm (d) 30 sq cm
  3. 3.A rectangle has an area of 80 sq cm and a length of 10 cm. What is its width? (a) 70 cm (b) 8 cm (c) 9 cm (d) 16 cm
  4. 4.A rectangle is 12 cm long and 10 cm wide. What is its perimeter? (a) 34 cm (b) 120 cm (c) 44 cm (d) 22 cm
  5. 5.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 11 cm (b) 12 cm (c) 200 cm (d) 22 cm
  6. 6.A rectangle is 19 cm long and 11 cm wide. What is its perimeter? (a) 49 cm (b) 209 cm (c) 60 cm (d) 30 cm
  7. 7.A rectangle has an area of 50 sq cm and a length of 10 cm. What is its width? (a) 10 cm (b) 6 cm (c) 5 cm (d) 40 cm
  8. 8.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 24 cm (b) 220 cm (c) 13 cm (d) 12 cm
  9. 9.A rectangle is 18 cm long and 8 cm wide. What is its perimeter? (a) 52 cm (b) 26 cm (c) 144 cm (d) 44 cm
  10. 10.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
  11. 11.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 10 cm (b) 20 cm (c) 16 cm (d) 24 cm
  12. 12.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 36 sq cm (c) 10 sq cm (d) 20 sq cm
  13. 13.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 3 cm (b) 2 cm (c) 4 cm (d) 6 cm
  14. 14.A rectangle has an area of 32 sq cm and a length of 8 cm. What is its width? (a) 5 cm (b) 4 cm (c) 8 cm (d) 24 cm
  15. 15.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 81 sq cm (d) 100 sq cm
  16. 16.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
  17. 17.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 18 sq cm (c) 12 sq cm (d) 8 sq cm
  18. 18.A rectangle is 20 cm long and 7 cm wide. What is its area? (a) 54 sq cm (b) 27 sq cm (c) 140 sq cm (d) 160 sq cm
  19. 19.A rectangle has an area of 52 sq cm and a length of 13 cm. What is its width? (a) 4 cm (b) 39 cm (c) 8 cm (d) 5 cm
  20. 20.A rectangle is 17 cm long and 11 cm wide. What is its perimeter? (a) 45 cm (b) 28 cm (c) 187 cm (d) 56 cm
  21. 21.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 22 cm (c) 11 cm (d) 24 cm
  22. 22.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 14 sq cm (c) 28 sq cm (d) 64 sq cm
  23. 23.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
  24. 24.A rectangle is 15 cm long and 12 cm wide. What is its area? (a) 27 sq cm (b) 180 sq cm (c) 195 sq cm (d) 54 sq cm
  25. 25.A rectangle has an area of 63 sq cm and a length of 9 cm. What is its width? (a) 8 cm (b) 14 cm (c) 7 cm (d) 54 cm
  26. 26.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 90 sq cm (d) 80 sq cm
  27. 27.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 26 sq cm (c) 52 sq cm (d) 169 sq cm
  28. 28.A rectangle has an area of 133 sq cm and a length of 19 cm. What is its width? (a) 114 cm (b) 14 cm (c) 8 cm (d) 7 cm
  29. 29.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 60 sq cm (b) 15 sq cm (c) 30 sq cm (d) 50 sq cm
  30. 30.A rectangle is 18 cm long and 3 cm wide. What is its area? (a) 72 sq cm (b) 54 sq cm (c) 21 sq cm (d) 42 sq cm
  31. 31.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 60 sq cm (b) 36 sq cm (c) 45 sq cm (d) 18 sq cm
  32. 32.A rectangle has an area of 60 sq cm and a length of 15 cm. What is its width? (a) 5 cm (b) 8 cm (c) 4 cm (d) 45 cm
  33. 33.A rectangle is 17 cm long and 9 cm wide. What is its perimeter? (a) 52 cm (b) 43 cm (c) 153 cm (d) 26 cm
  34. 34.A rectangle is 20 cm long and 6 cm wide. What is its area? (a) 26 sq cm (b) 120 sq cm (c) 140 sq cm (d) 52 sq cm
  35. 35.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 126 cm (b) 20 cm (c) 10 cm (d) 11 cm
  36. 36.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 18 cm (b) 96 cm (c) 9 cm (d) 10 cm
  37. 37.A rectangle is 13 cm long and 6 cm wide. What is its area? (a) 91 sq cm (b) 19 sq cm (c) 78 sq cm (d) 38 sq cm
  38. 38.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 50 cm (b) 15 cm (c) 30 cm (d) 25 cm
  39. 39.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 121 sq cm (c) 40 sq cm (d) 20 sq 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. 42 cm
  2. 225 sq cm
  3. 8 cm
  4. 44 cm
  5. 11 cm
  6. 60 cm
  7. 5 cm
  8. 12 cm
  9. 52 cm
  10. 3 cm
  11. 20 cm
  12. 25 sq cm
  13. 2 cm
  14. 4 cm
  15. 81 sq cm
  16. 144 sq cm
  17. 12 sq cm
  18. 140 sq cm
  19. 4 cm
  20. 56 cm
  21. 22 cm
  22. 49 sq cm
  23. 60 sq cm
  24. 180 sq cm
  25. 7 cm
  26. 80 sq cm
  27. 169 sq cm
  28. 7 cm
  29. 50 sq cm
  30. 54 sq cm
  31. 45 sq cm
  32. 4 cm
  33. 52 cm
  34. 120 sq cm
  35. 10 cm
  36. 9 cm
  37. 78 sq cm
  38. 30 cm
  39. 100 sq cm
  40. 36 sq cm

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