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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 409 · 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 square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 169 sq cm (d) 196 sq cm
  2. 2.A rectangle is 20 cm long and 3 cm wide. What is its area? (a) 46 sq cm (b) 60 sq cm (c) 80 sq cm (d) 23 sq cm
  3. 3.A rectangle is 19 cm long and 5 cm wide. What is its perimeter? (a) 24 cm (b) 95 cm (c) 43 cm (d) 48 cm
  4. 4.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 46 sq cm (b) 23 sq cm (c) 95 sq cm (d) 76 sq cm
  5. 5.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 169 sq cm (c) 24 sq cm (d) 144 sq cm
  6. 6.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 225 sq cm (d) 256 sq cm
  7. 7.A rectangle is 17 cm long and 10 cm wide. What is its perimeter? (a) 27 cm (b) 44 cm (c) 54 cm (d) 170 cm
  8. 8.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 54 sq cm (b) 63 sq cm (c) 30 sq cm (d) 15 sq cm
  9. 9.A rectangle is 11 cm long and 5 cm wide. What is its perimeter? (a) 55 cm (b) 16 cm (c) 27 cm (d) 32 cm
  10. 10.A rectangle is 20 cm long and 11 cm wide. What is its perimeter? (a) 31 cm (b) 51 cm (c) 62 cm (d) 220 cm
  11. 11.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 40 sq cm (d) 50 sq cm
  12. 12.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 56 sq cm (c) 28 sq cm (d) 225 sq cm
  13. 13.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 44 sq cm (b) 90 sq cm (c) 22 sq cm (d) 72 sq cm
  14. 14.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 10 sq cm (c) 25 sq cm (d) 20 sq cm
  15. 15.A rectangle is 15 cm long and 4 cm wide. What is its area? (a) 60 sq cm (b) 75 sq cm (c) 19 sq cm (d) 38 sq cm
  16. 16.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 11 cm (b) 30 cm (c) 22 cm (d) 17 cm
  17. 17.A rectangle has an area of 20 sq cm and a length of 10 cm. What is its width? (a) 10 cm (b) 3 cm (c) 2 cm (d) 4 cm
  18. 18.A rectangle is 14 cm long and 6 cm wide. What is its area? (a) 84 sq cm (b) 40 sq cm (c) 98 sq cm (d) 20 sq cm
  19. 19.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 24 cm (b) 13 cm (c) 209 cm (d) 12 cm
  20. 20.A rectangle is 19 cm long and 7 cm wide. What is its perimeter? (a) 26 cm (b) 45 cm (c) 52 cm (d) 133 cm
  21. 21.A rectangle has an area of 34 sq cm and a length of 17 cm. What is its width? (a) 3 cm (b) 2 cm (c) 4 cm (d) 17 cm
  22. 22.A rectangle is 17 cm long and 3 cm wide. What is its perimeter? (a) 37 cm (b) 40 cm (c) 51 cm (d) 20 cm
  23. 23.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 30 cm (b) 26 cm (c) 23 cm (d) 13 cm
  24. 24.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 132 sq cm (b) 22 sq cm (c) 44 sq cm (d) 120 sq cm
  25. 25.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 8 cm (b) 9 cm (c) 98 cm (d) 16 cm
  26. 26.A rectangle is 18 cm long and 4 cm wide. What is its perimeter? (a) 40 cm (b) 72 cm (c) 44 cm (d) 22 cm
  27. 27.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 38 sq cm (b) 57 sq cm (c) 42 sq cm (d) 21 sq cm
  28. 28.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 24 cm (b) 176 cm (c) 12 cm (d) 13 cm
  29. 29.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its width? (a) 7 cm (b) 35 cm (c) 6 cm (d) 12 cm
  30. 30.A rectangle is 11 cm long and 8 cm wide. What is its area? (a) 99 sq cm (b) 19 sq cm (c) 38 sq cm (d) 88 sq cm
  31. 31.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
  32. 32.A rectangle has an area of 60 sq cm and a length of 10 cm. What is its width? (a) 50 cm (b) 6 cm (c) 7 cm (d) 12 cm
  33. 33.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 60 sq cm (d) 48 sq cm
  34. 34.A rectangle has an area of 10 sq cm and a length of 5 cm. What is its width? (a) 2 cm (b) 3 cm (c) 4 cm (d) 5 cm
  35. 35.A rectangle is 13 cm long and 11 cm wide. What is its area? (a) 24 sq cm (b) 156 sq cm (c) 48 sq cm (d) 143 sq cm
  36. 36.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 64 sq cm (d) 49 sq cm
  37. 37.A rectangle has an area of 120 sq cm and a length of 15 cm. What is its width? (a) 9 cm (b) 105 cm (c) 8 cm (d) 16 cm
  38. 38.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
  39. 39.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 144 sq cm (c) 22 sq cm (d) 121 sq cm
  40. 40.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 28 cm (b) 14 cm (c) 22 cm (d) 48 cm

Answer key

  1. 169 sq cm
  2. 60 sq cm
  3. 48 cm
  4. 76 sq cm
  5. 144 sq cm
  6. 225 sq cm
  7. 54 cm
  8. 54 sq cm
  9. 32 cm
  10. 62 cm
  11. 40 sq cm
  12. 196 sq cm
  13. 72 sq cm
  14. 25 sq cm
  15. 60 sq cm
  16. 22 cm
  17. 2 cm
  18. 84 sq cm
  19. 12 cm
  20. 52 cm
  21. 2 cm
  22. 40 cm
  23. 26 cm
  24. 120 sq cm
  25. 8 cm
  26. 44 cm
  27. 38 sq cm
  28. 12 cm
  29. 6 cm
  30. 88 sq cm
  31. 48 cm
  32. 6 cm
  33. 48 sq cm
  34. 2 cm
  35. 143 sq cm
  36. 49 sq cm
  37. 8 cm
  38. 64 sq cm
  39. 121 sq cm
  40. 28 cm

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