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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 413 · 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 3 cm wide. What is its area? (a) 17 sq cm (b) 34 sq cm (c) 56 sq cm (d) 42 sq cm
  2. 2.A rectangle is 16 cm long and 3 cm wide. What is its area? (a) 64 sq cm (b) 38 sq cm (c) 19 sq cm (d) 48 sq cm
  3. 3.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 32 sq cm (c) 16 sq cm (d) 81 sq cm
  4. 4.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 169 sq cm (c) 48 sq cm (d) 144 sq cm
  5. 5.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
  6. 6.A rectangle is 18 cm long and 10 cm wide. What is its perimeter? (a) 46 cm (b) 180 cm (c) 56 cm (d) 28 cm
  7. 7.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 26 sq cm (c) 52 sq cm (d) 196 sq cm
  8. 8.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 121 sq cm (c) 144 sq cm (d) 44 sq cm
  9. 9.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 21 sq cm (b) 14 sq cm (c) 9 sq cm (d) 18 sq cm
  10. 10.A rectangle is 19 cm long and 6 cm wide. What is its perimeter? (a) 25 cm (b) 114 cm (c) 44 cm (d) 50 cm
  11. 11.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 81 sq cm (b) 34 sq cm (c) 17 sq cm (d) 72 sq cm
  12. 12.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 36 sq cm (c) 24 sq cm (d) 12 sq cm
  13. 13.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 60 sq cm (b) 45 sq cm (c) 36 sq cm (d) 18 sq cm
  14. 14.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 13 cm (b) 12 cm (c) 24 cm (d) 198 cm
  15. 15.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 90 sq cm (b) 38 sq cm (c) 19 sq cm (d) 100 sq cm
  16. 16.A rectangle has an area of 6 sq cm and a length of 3 cm. What is its width? (a) 1 cm (b) 4 cm (c) 2 cm (d) 3 cm
  17. 17.A rectangle is 15 cm long and 4 cm wide. What is its perimeter? (a) 19 cm (b) 38 cm (c) 60 cm (d) 34 cm
  18. 18.A rectangle is 16 cm long and 8 cm wide. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 128 sq cm (d) 144 sq cm
  19. 19.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 80 sq cm (b) 34 sq cm (c) 17 sq cm (d) 70 sq cm
  20. 20.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 10 sq cm (c) 20 sq cm (d) 25 sq cm
  21. 21.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 225 sq cm (c) 56 sq cm (d) 196 sq cm
  22. 22.A rectangle is 11 cm long and 6 cm wide. What is its area? (a) 17 sq cm (b) 77 sq cm (c) 34 sq cm (d) 66 sq cm
  23. 23.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 30 sq cm (b) 20 sq cm (c) 24 sq cm (d) 12 sq cm
  24. 24.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 60 sq cm (c) 256 sq cm (d) 30 sq cm
  25. 25.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 49 sq cm (c) 14 sq cm (d) 28 sq cm
  26. 26.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 98 cm (b) 9 cm (c) 16 cm (d) 8 cm
  27. 27.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 180 cm (b) 11 cm (c) 20 cm (d) 10 cm
  28. 28.A rectangle is 16 cm long and 5 cm wide. What is its area? (a) 42 sq cm (b) 96 sq cm (c) 21 sq cm (d) 80 sq cm
  29. 29.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 40 sq cm (c) 20 sq cm (d) 100 sq cm
  30. 30.A rectangle is 20 cm long and 12 cm wide. What is its perimeter? (a) 52 cm (b) 32 cm (c) 240 cm (d) 64 cm
  31. 31.A rectangle has an area of 105 sq cm and a length of 15 cm. What is its width? (a) 90 cm (b) 8 cm (c) 14 cm (d) 7 cm
  32. 32.A rectangle is 15 cm long and 2 cm wide. What is its area? (a) 30 sq cm (b) 34 sq cm (c) 17 sq cm (d) 45 sq cm
  33. 33.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 6 cm (c) 7 cm (d) 70 cm
  34. 34.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 117 cm (b) 11 cm (c) 20 cm (d) 10 cm
  35. 35.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 117 sq cm (b) 21 sq cm (c) 104 sq cm (d) 42 sq cm
  36. 36.A rectangle is 11 cm long and 7 cm wide. What is its perimeter? (a) 29 cm (b) 36 cm (c) 77 cm (d) 18 cm
  37. 37.A rectangle is 15 cm long and 12 cm wide. What is its perimeter? (a) 42 cm (b) 27 cm (c) 180 cm (d) 54 cm
  38. 38.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 100 sq cm (c) 36 sq cm (d) 81 sq cm
  39. 39.A rectangle is 16 cm long and 2 cm wide. What is its area? (a) 48 sq cm (b) 18 sq cm (c) 36 sq cm (d) 32 sq cm
  40. 40.A rectangle has an area of 30 sq cm and a length of 15 cm. What is its width? (a) 15 cm (b) 2 cm (c) 4 cm (d) 3 cm

Answer key

  1. 42 sq cm
  2. 48 sq cm
  3. 64 sq cm
  4. 144 sq cm
  5. 20 cm
  6. 56 cm
  7. 169 sq cm
  8. 121 sq cm
  9. 14 sq cm
  10. 50 cm
  11. 72 sq cm
  12. 36 sq cm
  13. 45 sq cm
  14. 12 cm
  15. 90 sq cm
  16. 2 cm
  17. 38 cm
  18. 128 sq cm
  19. 70 sq cm
  20. 25 sq cm
  21. 196 sq cm
  22. 66 sq cm
  23. 20 sq cm
  24. 225 sq cm
  25. 49 sq cm
  26. 8 cm
  27. 10 cm
  28. 80 sq cm
  29. 100 sq cm
  30. 64 cm
  31. 7 cm
  32. 30 sq cm
  33. 6 cm
  34. 10 cm
  35. 104 sq cm
  36. 36 cm
  37. 54 cm
  38. 81 sq cm
  39. 32 sq cm
  40. 2 cm

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