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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 718 · 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 44 cm. What is its area? (a) 144 sq cm (b) 121 sq cm (c) 22 sq cm (d) 44 sq cm
  2. 2.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 64 sq cm (c) 14 sq cm (d) 28 sq cm
  3. 3.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 16 cm (b) 26 cm (c) 60 cm (d) 32 cm
  4. 4.A rectangle is 15 cm long and 5 cm wide. What is its area? (a) 90 sq cm (b) 20 sq cm (c) 75 sq cm (d) 40 sq cm
  5. 5.A rectangle has an area of 90 sq cm and a length of 18 cm. What is its width? (a) 5 cm (b) 10 cm (c) 6 cm (d) 72 cm
  6. 6.A rectangle is 13 cm long and 7 cm wide. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 91 sq cm (d) 104 sq cm
  7. 7.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 22 cm (b) 190 cm (c) 12 cm (d) 11 cm
  8. 8.A rectangle is 13 cm long and 9 cm wide. What is its perimeter? (a) 35 cm (b) 117 cm (c) 44 cm (d) 22 cm
  9. 9.A rectangle is 19 cm long and 3 cm wide. What is its area? (a) 44 sq cm (b) 76 sq cm (c) 22 sq cm (d) 57 sq cm
  10. 10.A rectangle is 18 cm long and 8 cm wide. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 162 sq cm (d) 144 sq cm
  11. 11.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 12 cm (b) 13 cm (c) 198 cm (d) 24 cm
  12. 12.A rectangle is 14 cm long and 7 cm wide. What is its area? (a) 112 sq cm (b) 42 sq cm (c) 98 sq cm (d) 21 sq cm
  13. 13.A rectangle is 17 cm long and 6 cm wide. What is its perimeter? (a) 102 cm (b) 23 cm (c) 46 cm (d) 40 cm
  14. 14.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 25 sq cm (c) 20 sq cm (d) 36 sq cm
  15. 15.A rectangle is 12 cm long and 11 cm wide. What is its area? (a) 144 sq cm (b) 46 sq cm (c) 132 sq cm (d) 23 sq cm
  16. 16.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 9 sq cm (c) 21 sq cm (d) 14 sq cm
  17. 17.A rectangle is 15 cm long and 12 cm wide. What is its area? (a) 54 sq cm (b) 195 sq cm (c) 180 sq cm (d) 27 sq cm
  18. 18.A rectangle has an area of 20 sq cm and a length of 10 cm. What is its width? (a) 4 cm (b) 10 cm (c) 3 cm (d) 2 cm
  19. 19.A rectangle is 15 cm long and 9 cm wide. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 135 sq cm (d) 150 sq cm
  20. 20.A rectangle is 14 cm long and 2 cm wide. What is its area? (a) 32 sq cm (b) 42 sq cm (c) 28 sq cm (d) 16 sq cm
  21. 21.A rectangle is 17 cm long and 10 cm wide. What is its perimeter? (a) 27 cm (b) 170 cm (c) 54 cm (d) 44 cm
  22. 22.A rectangle is 20 cm long and 12 cm wide. What is its area? (a) 32 sq cm (b) 240 sq cm (c) 260 sq cm (d) 64 sq cm
  23. 23.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 16 sq cm (c) 12 sq cm (d) 18 sq cm
  24. 24.A rectangle has an area of 78 sq cm and a length of 13 cm. What is its width? (a) 7 cm (b) 6 cm (c) 12 cm (d) 65 cm
  25. 25.A rectangle has an area of 6 sq cm and a length of 3 cm. What is its width? (a) 3 cm (b) 1 cm (c) 4 cm (d) 2 cm
  26. 26.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 30 sq cm (c) 24 sq cm (d) 10 sq cm
  27. 27.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 196 sq cm (c) 26 sq cm (d) 52 sq cm
  28. 28.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 18 sq cm (c) 36 sq cm (d) 81 sq cm
  29. 29.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 256 sq cm (c) 30 sq cm (d) 225 sq cm
  30. 30.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 28 sq cm (c) 196 sq cm (d) 56 sq cm
  31. 31.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 81 sq cm (c) 16 sq cm (d) 64 sq cm
  32. 32.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 48 cm (b) 16 cm (c) 28 cm (d) 32 cm
  33. 33.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 14 sq cm (d) 48 sq cm
  34. 34.A rectangle is 19 cm long and 6 cm wide. What is its area? (a) 133 sq cm (b) 50 sq cm (c) 114 sq cm (d) 25 sq cm
  35. 35.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 17 sq cm (b) 70 sq cm (c) 80 sq cm (d) 34 sq cm
  36. 36.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its width? (a) 6 cm (b) 3 cm (c) 10 cm (d) 4 cm
  37. 37.A rectangle has an area of 44 sq cm and a length of 11 cm. What is its width? (a) 5 cm (b) 8 cm (c) 4 cm (d) 33 cm
  38. 38.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 12 sq cm (c) 24 sq cm (d) 36 sq cm
  39. 39.A rectangle has an area of 120 sq cm and a length of 15 cm. What is its width? (a) 105 cm (b) 8 cm (c) 9 cm (d) 16 cm
  40. 40.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 15 sq cm (b) 30 sq cm (c) 63 sq cm (d) 54 sq cm

Answer key

  1. 121 sq cm
  2. 49 sq cm
  3. 32 cm
  4. 75 sq cm
  5. 5 cm
  6. 91 sq cm
  7. 11 cm
  8. 44 cm
  9. 57 sq cm
  10. 144 sq cm
  11. 12 cm
  12. 98 sq cm
  13. 46 cm
  14. 25 sq cm
  15. 132 sq cm
  16. 14 sq cm
  17. 180 sq cm
  18. 2 cm
  19. 135 sq cm
  20. 28 sq cm
  21. 54 cm
  22. 240 sq cm
  23. 12 sq cm
  24. 6 cm
  25. 2 cm
  26. 24 sq cm
  27. 169 sq cm
  28. 81 sq cm
  29. 225 sq cm
  30. 196 sq cm
  31. 64 sq cm
  32. 32 cm
  33. 48 sq cm
  34. 114 sq cm
  35. 70 sq cm
  36. 3 cm
  37. 4 cm
  38. 36 sq cm
  39. 8 cm
  40. 54 sq cm

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