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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 979 · 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 5 cm wide. What is its area? (a) 16 sq cm (b) 55 sq cm (c) 66 sq cm (d) 32 sq cm
  2. 2.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 256 sq cm (c) 60 sq cm (d) 225 sq cm
  3. 3.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 10 cm (c) 18 cm (d) 20 cm
  4. 4.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 7 cm (b) 8 cm (c) 14 cm (d) 48 cm
  5. 5.A rectangle is 19 cm long and 3 cm wide. What is its perimeter? (a) 41 cm (b) 57 cm (c) 44 cm (d) 22 cm
  6. 6.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 56 sq cm (c) 28 sq cm (d) 196 sq cm
  7. 7.A rectangle is 16 cm long and 3 cm wide. What is its perimeter? (a) 48 cm (b) 19 cm (c) 38 cm (d) 35 cm
  8. 8.A rectangle is 14 cm long and 6 cm wide. What is its perimeter? (a) 20 cm (b) 34 cm (c) 84 cm (d) 40 cm
  9. 9.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 24 sq cm (c) 36 sq cm (d) 12 sq cm
  10. 10.A rectangle is 17 cm long and 7 cm wide. What is its perimeter? (a) 24 cm (b) 48 cm (c) 119 cm (d) 41 cm
  11. 11.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 169 sq cm (c) 144 sq cm (d) 48 sq cm
  12. 12.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 9 cm (c) 14 cm (d) 18 cm
  13. 13.A rectangle has an area of 38 sq cm and a length of 19 cm. What is its width? (a) 19 cm (b) 3 cm (c) 2 cm (d) 4 cm
  14. 14.A rectangle is 14 cm long and 10 cm wide. What is its area? (a) 140 sq cm (b) 48 sq cm (c) 24 sq cm (d) 154 sq cm
  15. 15.A rectangle is 15 cm long and 2 cm wide. What is its area? (a) 17 sq cm (b) 34 sq cm (c) 45 sq cm (d) 30 sq cm
  16. 16.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
  17. 17.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 26 cm (b) 13 cm (c) 24 cm (d) 22 cm
  18. 18.A rectangle has an area of 108 sq cm and a length of 18 cm. What is its width? (a) 90 cm (b) 12 cm (c) 7 cm (d) 6 cm
  19. 19.A rectangle is 20 cm long and 3 cm wide. What is its perimeter? (a) 46 cm (b) 60 cm (c) 23 cm (d) 43 cm
  20. 20.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 17 cm (b) 72 cm (c) 26 cm (d) 34 cm
  21. 21.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 11 cm (b) 180 cm (c) 20 cm (d) 10 cm
  22. 22.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 22 cm (b) 48 cm (c) 14 cm (d) 28 cm
  23. 23.A rectangle is 18 cm long and 3 cm wide. What is its perimeter? (a) 54 cm (b) 39 cm (c) 21 cm (d) 42 cm
  24. 24.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
  25. 25.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 48 sq cm (b) 26 sq cm (c) 13 sq cm (d) 40 sq cm
  26. 26.A rectangle is 13 cm long and 4 cm wide. What is its area? (a) 52 sq cm (b) 65 sq cm (c) 17 sq cm (d) 34 sq cm
  27. 27.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 49 sq cm (b) 13 sq cm (c) 42 sq cm (d) 26 sq cm
  28. 28.A rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 8 cm (b) 6 cm (c) 3 cm (d) 4 cm
  29. 29.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 8 cm (b) 16 cm (c) 14 cm (d) 12 cm
  30. 30.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 209 cm (b) 13 cm (c) 24 cm (d) 12 cm
  31. 31.A rectangle has an area of 90 sq cm and a length of 18 cm. What is its width? (a) 72 cm (b) 10 cm (c) 5 cm (d) 6 cm
  32. 32.A rectangle is 15 cm long and 6 cm wide. What is its area? (a) 42 sq cm (b) 90 sq cm (c) 21 sq cm (d) 105 sq cm
  33. 33.A rectangle has an area of 66 sq cm and a length of 11 cm. What is its width? (a) 12 cm (b) 6 cm (c) 7 cm (d) 55 cm
  34. 34.A rectangle has an area of 32 sq cm and a length of 8 cm. What is its width? (a) 24 cm (b) 5 cm (c) 4 cm (d) 8 cm
  35. 35.A rectangle has an area of 48 sq cm and a length of 16 cm. What is its width? (a) 6 cm (b) 4 cm (c) 3 cm (d) 32 cm
  36. 36.A rectangle is 14 cm long and 2 cm wide. What is its perimeter? (a) 30 cm (b) 16 cm (c) 28 cm (d) 32 cm
  37. 37.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 16 sq cm (c) 32 sq cm (d) 64 sq cm
  38. 38.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 24 sq cm (d) 30 sq cm
  39. 39.A rectangle has an area of 72 sq cm and a length of 12 cm. What is its width? (a) 7 cm (b) 60 cm (c) 6 cm (d) 12 cm
  40. 40.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

Answer key

  1. 55 sq cm
  2. 225 sq cm
  3. 20 cm
  4. 7 cm
  5. 44 cm
  6. 196 sq cm
  7. 38 cm
  8. 40 cm
  9. 36 sq cm
  10. 48 cm
  11. 144 sq cm
  12. 18 cm
  13. 2 cm
  14. 140 sq cm
  15. 30 sq cm
  16. 120 sq cm
  17. 26 cm
  18. 6 cm
  19. 46 cm
  20. 34 cm
  21. 10 cm
  22. 28 cm
  23. 42 cm
  24. 49 sq cm
  25. 40 sq cm
  26. 52 sq cm
  27. 42 sq cm
  28. 3 cm
  29. 16 cm
  30. 12 cm
  31. 5 cm
  32. 90 sq cm
  33. 6 cm
  34. 4 cm
  35. 3 cm
  36. 32 cm
  37. 64 sq cm
  38. 24 sq cm
  39. 6 cm
  40. 81 sq cm

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