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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 887 · 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 20 cm long and 11 cm wide. What is its area? (a) 240 sq cm (b) 220 sq cm (c) 62 sq cm (d) 31 sq cm
  2. 2.A rectangle is 17 cm long and 12 cm wide. What is its area? (a) 221 sq cm (b) 204 sq cm (c) 29 sq cm (d) 58 sq cm
  3. 3.A rectangle has an area of 54 sq cm and a length of 9 cm. What is its width? (a) 45 cm (b) 12 cm (c) 6 cm (d) 7 cm
  4. 4.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 57 sq cm (b) 21 sq cm (c) 38 sq cm (d) 42 sq cm
  5. 5.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 30 sq cm (c) 24 sq cm (d) 20 sq cm
  6. 6.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 25 sq cm (d) 36 sq cm
  7. 7.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 56 sq cm (c) 225 sq cm (d) 28 sq cm
  8. 8.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 30 sq cm (b) 15 sq cm (c) 64 sq cm (d) 56 sq cm
  9. 9.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 65 sq cm (b) 78 sq cm (c) 36 sq cm (d) 18 sq cm
  10. 10.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 20 sq cm (c) 121 sq cm (d) 40 sq cm
  11. 11.A rectangle is 11 cm long and 7 cm wide. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 77 sq cm (d) 88 sq cm
  12. 12.A rectangle is 14 cm long and 8 cm wide. What is its perimeter? (a) 22 cm (b) 112 cm (c) 36 cm (d) 44 cm
  13. 13.A rectangle is 20 cm long and 4 cm wide. What is its perimeter? (a) 80 cm (b) 24 cm (c) 48 cm (d) 44 cm
  14. 14.A rectangle is 11 cm long and 7 cm wide. What is its perimeter? (a) 18 cm (b) 29 cm (c) 36 cm (d) 77 cm
  15. 15.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 28 sq cm (c) 50 sq cm (d) 14 sq cm
  16. 16.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 120 sq cm (b) 132 sq cm (c) 22 sq cm (d) 44 sq cm
  17. 17.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 11 sq cm (b) 18 sq cm (c) 27 sq cm (d) 22 sq cm
  18. 18.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 49 sq cm (d) 12 sq cm
  19. 19.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) 3 cm (d) 8 cm
  20. 20.A rectangle is 20 cm long and 5 cm wide. What is its perimeter? (a) 50 cm (b) 100 cm (c) 45 cm (d) 25 cm
  21. 21.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 24 sq cm (c) 144 sq cm (d) 48 sq cm
  22. 22.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 49 sq cm (c) 14 sq cm (d) 64 sq cm
  23. 23.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 48 cm (b) 28 cm (c) 32 cm (d) 16 cm
  24. 24.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 18 sq cm (c) 100 sq cm (d) 36 sq cm
  25. 25.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 11 sq cm (b) 24 sq cm (c) 32 sq cm (d) 22 sq cm
  26. 26.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 20 cm (b) 13 cm (c) 26 cm (d) 42 cm
  27. 27.A rectangle has an area of 44 sq cm and a length of 11 cm. What is its width? (a) 33 cm (b) 8 cm (c) 5 cm (d) 4 cm
  28. 28.A rectangle has an area of 18 sq cm and a length of 9 cm. What is its width? (a) 4 cm (b) 3 cm (c) 2 cm (d) 9 cm
  29. 29.A rectangle has an area of 80 sq cm and a length of 10 cm. What is its width? (a) 70 cm (b) 16 cm (c) 8 cm (d) 9 cm
  30. 30.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 10 sq cm (b) 16 sq cm (c) 24 sq cm (d) 20 sq cm
  31. 31.A rectangle has an area of 22 sq cm and a length of 11 cm. What is its width? (a) 3 cm (b) 11 cm (c) 2 cm (d) 4 cm
  32. 32.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 19 cm (b) 12 cm (c) 24 cm (d) 35 cm
  33. 33.A rectangle has an area of 32 sq cm and a length of 16 cm. What is its width? (a) 16 cm (b) 2 cm (c) 4 cm (d) 3 cm
  34. 34.A rectangle is 11 cm long and 4 cm wide. What is its perimeter? (a) 44 cm (b) 26 cm (c) 30 cm (d) 15 cm
  35. 35.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 60 sq cm (d) 70 sq cm
  36. 36.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 225 sq cm (c) 60 sq cm (d) 256 sq cm
  37. 37.A rectangle is 12 cm long and 8 cm wide. What is its area? (a) 96 sq cm (b) 40 sq cm (c) 20 sq cm (d) 108 sq cm
  38. 38.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 60 sq cm (b) 16 sq cm (c) 48 sq cm (d) 32 sq cm
  39. 39.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 196 sq cm (d) 169 sq cm
  40. 40.A rectangle has an area of 90 sq cm and a length of 18 cm. What is its width? (a) 10 cm (b) 72 cm (c) 5 cm (d) 6 cm

Answer key

  1. 220 sq cm
  2. 204 sq cm
  3. 6 cm
  4. 38 sq cm
  5. 20 sq cm
  6. 25 sq cm
  7. 196 sq cm
  8. 56 sq cm
  9. 65 sq cm
  10. 100 sq cm
  11. 77 sq cm
  12. 44 cm
  13. 48 cm
  14. 36 cm
  15. 40 sq cm
  16. 120 sq cm
  17. 18 sq cm
  18. 36 sq cm
  19. 3 cm
  20. 50 cm
  21. 144 sq cm
  22. 49 sq cm
  23. 32 cm
  24. 81 sq cm
  25. 24 sq cm
  26. 26 cm
  27. 4 cm
  28. 2 cm
  29. 8 cm
  30. 16 sq cm
  31. 2 cm
  32. 24 cm
  33. 2 cm
  34. 30 cm
  35. 60 sq cm
  36. 225 sq cm
  37. 96 sq cm
  38. 48 sq cm
  39. 169 sq cm
  40. 5 cm

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