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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 982 · 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 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
  2. 2.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 10 sq cm (c) 20 sq cm (d) 36 sq cm
  3. 3.A rectangle is 16 cm long and 4 cm wide. What is its perimeter? (a) 64 cm (b) 20 cm (c) 36 cm (d) 40 cm
  4. 4.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 80 sq cm (b) 90 sq cm (c) 36 sq cm (d) 18 sq cm
  5. 5.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 36 sq cm (b) 26 sq cm (c) 13 sq cm (d) 45 sq cm
  6. 6.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 16 cm (b) 63 cm (c) 25 cm (d) 32 cm
  7. 7.A rectangle is 11 cm long and 6 cm wide. What is its area? (a) 66 sq cm (b) 34 sq cm (c) 17 sq cm (d) 77 sq cm
  8. 8.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its width? (a) 10 cm (b) 6 cm (c) 5 cm (d) 28 cm
  9. 9.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 12 cm (b) 3 cm (c) 6 cm (d) 4 cm
  10. 10.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 196 sq cm (c) 28 sq cm (d) 56 sq cm
  11. 11.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 169 sq cm (d) 144 sq cm
  12. 12.A rectangle is 14 cm long and 11 cm wide. What is its area? (a) 154 sq cm (b) 50 sq cm (c) 168 sq cm (d) 25 sq cm
  13. 13.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 60 sq cm (c) 225 sq cm (d) 30 sq cm
  14. 14.A rectangle is 18 cm long and 12 cm wide. What is its area? (a) 30 sq cm (b) 234 sq cm (c) 60 sq cm (d) 216 sq cm
  15. 15.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 18 sq cm (c) 81 sq cm (d) 36 sq cm
  16. 16.A rectangle is 17 cm long and 5 cm wide. What is its area? (a) 85 sq cm (b) 102 sq cm (c) 44 sq cm (d) 22 sq cm
  17. 17.A rectangle is 15 cm long and 12 cm wide. What is its perimeter? (a) 54 cm (b) 27 cm (c) 180 cm (d) 42 cm
  18. 18.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
  19. 19.A rectangle has an area of 60 sq cm and a length of 20 cm. What is its width? (a) 3 cm (b) 4 cm (c) 6 cm (d) 40 cm
  20. 20.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
  21. 21.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 144 sq cm (c) 22 sq cm (d) 44 sq cm
  22. 22.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 20 sq cm (c) 24 sq cm (d) 10 sq cm
  23. 23.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 13 cm (b) 40 cm (c) 26 cm (d) 21 cm
  24. 24.A rectangle has an area of 40 sq cm and a length of 20 cm. What is its width? (a) 20 cm (b) 3 cm (c) 4 cm (d) 2 cm
  25. 25.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 12 cm (c) 22 cm (d) 24 cm
  26. 26.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 9 sq cm (b) 24 sq cm (c) 18 sq cm (d) 19 sq cm
  27. 27.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 8 sq cm (c) 12 sq cm (d) 18 sq cm
  28. 28.A rectangle has an area of 77 sq cm and a length of 11 cm. What is its width? (a) 14 cm (b) 7 cm (c) 66 cm (d) 8 cm
  29. 29.A rectangle is 15 cm long and 4 cm wide. What is its area? (a) 38 sq cm (b) 19 sq cm (c) 75 sq cm (d) 60 sq cm
  30. 30.A rectangle has an area of 90 sq cm and a length of 18 cm. What is its width? (a) 6 cm (b) 5 cm (c) 10 cm (d) 72 cm
  31. 31.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its width? (a) 4 cm (b) 5 cm (c) 8 cm (d) 27 cm
  32. 32.A rectangle is 16 cm long and 11 cm wide. What is its area? (a) 27 sq cm (b) 176 sq cm (c) 192 sq cm (d) 54 sq cm
  33. 33.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 100 sq cm (c) 121 sq cm (d) 20 sq cm
  34. 34.A rectangle is 14 cm long and 7 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 112 sq cm (d) 98 sq cm
  35. 35.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 40 sq cm (b) 30 sq cm (c) 26 sq cm (d) 13 sq cm
  36. 36.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
  37. 37.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 88 cm (b) 18 cm (c) 9 cm (d) 10 cm
  38. 38.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 64 sq cm (d) 49 sq cm
  39. 39.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 50 sq cm (c) 14 sq cm (d) 28 sq cm
  40. 40.A rectangle has an area of 18 sq cm and a length of 9 cm. What is its width? (a) 3 cm (b) 2 cm (c) 4 cm (d) 9 cm

Answer key

  1. 42 sq cm
  2. 25 sq cm
  3. 40 cm
  4. 80 sq cm
  5. 36 sq cm
  6. 32 cm
  7. 66 sq cm
  8. 5 cm
  9. 3 cm
  10. 196 sq cm
  11. 144 sq cm
  12. 154 sq cm
  13. 225 sq cm
  14. 216 sq cm
  15. 81 sq cm
  16. 85 sq cm
  17. 54 cm
  18. 44 cm
  19. 3 cm
  20. 32 cm
  21. 121 sq cm
  22. 16 sq cm
  23. 26 cm
  24. 2 cm
  25. 24 cm
  26. 18 sq cm
  27. 12 sq cm
  28. 7 cm
  29. 60 sq cm
  30. 5 cm
  31. 4 cm
  32. 176 sq cm
  33. 100 sq cm
  34. 98 sq cm
  35. 30 sq cm
  36. 38 cm
  37. 9 cm
  38. 49 sq cm
  39. 40 sq cm
  40. 2 cm

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