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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 103 · 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 32 cm. What is its area? (a) 64 sq cm (b) 32 sq cm (c) 16 sq cm (d) 81 sq cm
  2. 2.A rectangle is 16 cm long and 10 cm wide. What is its area? (a) 176 sq cm (b) 160 sq cm (c) 26 sq cm (d) 52 sq cm
  3. 3.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 40 cm (b) 21 cm (c) 13 cm (d) 26 cm
  4. 4.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 100 sq cm (c) 20 sq cm (d) 121 sq cm
  5. 5.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 70 cm (c) 7 cm (d) 6 cm
  6. 6.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 100 sq cm (c) 81 sq cm (d) 36 sq cm
  7. 7.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 110 sq cm (b) 99 sq cm (c) 40 sq cm (d) 20 sq cm
  8. 8.A rectangle is 17 cm long and 6 cm wide. What is its perimeter? (a) 23 cm (b) 102 cm (c) 46 cm (d) 40 cm
  9. 9.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 12 cm (b) 13 cm (c) 176 cm (d) 24 cm
  10. 10.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 14 cm (c) 16 cm (d) 9 cm
  11. 11.A rectangle is 13 cm long and 7 cm wide. What is its area? (a) 104 sq cm (b) 91 sq cm (c) 40 sq cm (d) 20 sq cm
  12. 12.A rectangle has an area of 51 sq cm and a length of 17 cm. What is its width? (a) 6 cm (b) 34 cm (c) 3 cm (d) 4 cm
  13. 13.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 22 cm (b) 160 cm (c) 12 cm (d) 11 cm
  14. 14.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 169 sq cm (c) 144 sq cm (d) 24 sq cm
  15. 15.A rectangle is 14 cm long and 8 cm wide. What is its area? (a) 112 sq cm (b) 126 sq cm (c) 44 sq cm (d) 22 sq cm
  16. 16.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 190 cm (b) 12 cm (c) 22 cm (d) 11 cm
  17. 17.A rectangle is 14 cm long and 2 cm wide. What is its area? (a) 28 sq cm (b) 32 sq cm (c) 16 sq cm (d) 42 sq cm
  18. 18.A rectangle is 12 cm long and 3 cm wide. What is its perimeter? (a) 36 cm (b) 30 cm (c) 27 cm (d) 15 cm
  19. 19.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 56 sq cm (b) 14 sq cm (c) 28 sq cm (d) 48 sq cm
  20. 20.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 10 sq cm (c) 16 sq cm (d) 20 sq cm
  21. 21.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
  22. 22.A rectangle is 14 cm long and 11 cm wide. What is its area? (a) 168 sq cm (b) 50 sq cm (c) 25 sq cm (d) 154 sq cm
  23. 23.A rectangle is 11 cm long and 4 cm wide. What is its area? (a) 44 sq cm (b) 30 sq cm (c) 55 sq cm (d) 15 sq cm
  24. 24.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 28 sq cm (c) 49 sq cm (d) 14 sq cm
  25. 25.A rectangle is 19 cm long and 7 cm wide. What is its perimeter? (a) 45 cm (b) 133 cm (c) 52 cm (d) 26 cm
  26. 26.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 24 cm (b) 143 cm (c) 13 cm (d) 12 cm
  27. 27.A rectangle has an area of 40 sq cm and a length of 20 cm. What is its width? (a) 4 cm (b) 3 cm (c) 20 cm (d) 2 cm
  28. 28.A rectangle is 17 cm long and 2 cm wide. What is its perimeter? (a) 38 cm (b) 36 cm (c) 19 cm (d) 34 cm
  29. 29.A rectangle has an area of 160 sq cm and a length of 20 cm. What is its width? (a) 9 cm (b) 16 cm (c) 8 cm (d) 140 cm
  30. 30.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 225 sq cm (d) 256 sq cm
  31. 31.A rectangle has an area of 144 sq cm and a length of 18 cm. What is its width? (a) 16 cm (b) 8 cm (c) 9 cm (d) 126 cm
  32. 32.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
  33. 33.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 16 cm (c) 20 cm (d) 10 cm
  34. 34.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 21 sq cm (b) 10 sq cm (c) 20 sq cm (d) 28 sq cm
  35. 35.A rectangle is 16 cm long and 6 cm wide. What is its perimeter? (a) 96 cm (b) 44 cm (c) 38 cm (d) 22 cm
  36. 36.A rectangle is 18 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 38 cm (c) 36 cm (d) 40 cm
  37. 37.A rectangle is 12 cm long and 7 cm wide. What is its perimeter? (a) 31 cm (b) 38 cm (c) 19 cm (d) 84 cm
  38. 38.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 28 sq cm (c) 50 sq cm (d) 14 sq cm
  39. 39.A rectangle has an area of 95 sq cm and a length of 19 cm. What is its width? (a) 6 cm (b) 10 cm (c) 5 cm (d) 76 cm
  40. 40.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 22 sq cm (b) 120 sq cm (c) 44 sq cm (d) 132 sq cm

Answer key

  1. 64 sq cm
  2. 160 sq cm
  3. 26 cm
  4. 100 sq cm
  5. 6 cm
  6. 81 sq cm
  7. 99 sq cm
  8. 46 cm
  9. 12 cm
  10. 18 cm
  11. 91 sq cm
  12. 3 cm
  13. 11 cm
  14. 144 sq cm
  15. 112 sq cm
  16. 11 cm
  17. 28 sq cm
  18. 30 cm
  19. 48 sq cm
  20. 16 sq cm
  21. 169 sq cm
  22. 154 sq cm
  23. 44 sq cm
  24. 49 sq cm
  25. 52 cm
  26. 12 cm
  27. 2 cm
  28. 38 cm
  29. 8 cm
  30. 225 sq cm
  31. 8 cm
  32. 121 sq cm
  33. 20 cm
  34. 21 sq cm
  35. 44 cm
  36. 40 cm
  37. 38 cm
  38. 40 sq cm
  39. 5 cm
  40. 120 sq cm

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