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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 754 · 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 20 cm long and 12 cm wide. What is its perimeter? (a) 32 cm (b) 52 cm (c) 64 cm (d) 240 cm
  2. 2.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 48 sq cm (c) 169 sq cm (d) 24 sq cm
  3. 3.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 9 sq cm (c) 14 sq cm (d) 21 sq cm
  4. 4.A rectangle has an area of 105 sq cm and a length of 15 cm. What is its width? (a) 90 cm (b) 14 cm (c) 7 cm (d) 8 cm
  5. 5.A rectangle has an area of 33 sq cm and a length of 11 cm. What is its width? (a) 6 cm (b) 22 cm (c) 3 cm (d) 4 cm
  6. 6.A rectangle is 16 cm long and 5 cm wide. What is its area? (a) 80 sq cm (b) 21 sq cm (c) 96 sq cm (d) 42 sq cm
  7. 7.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 42 sq cm (b) 26 sq cm (c) 49 sq cm (d) 13 sq cm
  8. 8.A rectangle has an area of 64 sq cm and a length of 16 cm. What is its width? (a) 48 cm (b) 4 cm (c) 5 cm (d) 8 cm
  9. 9.A rectangle has an area of 120 sq cm and a length of 15 cm. What is its width? (a) 9 cm (b) 16 cm (c) 105 cm (d) 8 cm
  10. 10.A rectangle is 14 cm long and 12 cm wide. What is its area? (a) 26 sq cm (b) 168 sq cm (c) 52 sq cm (d) 182 sq cm
  11. 11.A rectangle is 14 cm long and 4 cm wide. What is its perimeter? (a) 56 cm (b) 18 cm (c) 32 cm (d) 36 cm
  12. 12.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 81 sq cm (d) 64 sq cm
  13. 13.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 22 cm (b) 150 cm (c) 11 cm (d) 12 cm
  14. 14.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
  15. 15.A rectangle is 14 cm long and 7 cm wide. What is its area? (a) 112 sq cm (b) 21 sq cm (c) 98 sq cm (d) 42 sq cm
  16. 16.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 49 sq cm (d) 36 sq cm
  17. 17.A rectangle has an area of 190 sq cm and a length of 19 cm. What is its width? (a) 11 cm (b) 171 cm (c) 20 cm (d) 10 cm
  18. 18.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 30 cm (b) 25 cm (c) 50 cm (d) 15 cm
  19. 19.A rectangle is 15 cm long and 11 cm wide. What is its area? (a) 165 sq cm (b) 52 sq cm (c) 180 sq cm (d) 26 sq cm
  20. 20.A rectangle has an area of 90 sq cm and a length of 15 cm. What is its width? (a) 7 cm (b) 12 cm (c) 6 cm (d) 75 cm
  21. 21.A rectangle is 19 cm long and 3 cm wide. What is its area? (a) 76 sq cm (b) 22 sq cm (c) 44 sq cm (d) 57 sq cm
  22. 22.A rectangle has an area of 34 sq cm and a length of 17 cm. What is its width? (a) 3 cm (b) 17 cm (c) 4 cm (d) 2 cm
  23. 23.A rectangle is 18 cm long and 4 cm wide. What is its perimeter? (a) 22 cm (b) 72 cm (c) 40 cm (d) 44 cm
  24. 24.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 187 cm (b) 24 cm (c) 13 cm (d) 12 cm
  25. 25.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 25 sq cm (c) 10 sq cm (d) 36 sq cm
  26. 26.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 13 cm (b) 24 cm (c) 12 cm (d) 143 cm
  27. 27.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 169 sq cm (c) 196 sq cm (d) 52 sq cm
  28. 28.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 120 sq cm (d) 108 sq cm
  29. 29.A rectangle is 18 cm long and 9 cm wide. What is its perimeter? (a) 45 cm (b) 27 cm (c) 162 cm (d) 54 cm
  30. 30.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
  31. 31.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 24 sq cm (d) 16 sq cm
  32. 32.A rectangle has an area of 18 sq cm and a length of 9 cm. What is its width? (a) 3 cm (b) 4 cm (c) 2 cm (d) 9 cm
  33. 33.A rectangle is 18 cm long and 12 cm wide. What is its perimeter? (a) 60 cm (b) 48 cm (c) 216 cm (d) 30 cm
  34. 34.A rectangle is 20 cm long and 5 cm wide. What is its perimeter? (a) 100 cm (b) 45 cm (c) 25 cm (d) 50 cm
  35. 35.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 12 cm (b) 120 cm (c) 11 cm (d) 22 cm
  36. 36.A rectangle is 20 cm long and 5 cm wide. What is its area? (a) 50 sq cm (b) 25 sq cm (c) 100 sq cm (d) 120 sq cm
  37. 37.A rectangle is 15 cm long and 10 cm wide. What is its area? (a) 25 sq cm (b) 150 sq cm (c) 165 sq cm (d) 50 sq cm
  38. 38.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 22 cm (c) 24 cm (d) 11 cm
  39. 39.A rectangle is 14 cm long and 5 cm wide. What is its area? (a) 19 sq cm (b) 38 sq cm (c) 70 sq cm (d) 84 sq cm
  40. 40.A rectangle is 12 cm long and 8 cm wide. What is its area? (a) 20 sq cm (b) 108 sq cm (c) 40 sq cm (d) 96 sq cm

Answer key

  1. 64 cm
  2. 144 sq cm
  3. 14 sq cm
  4. 7 cm
  5. 3 cm
  6. 80 sq cm
  7. 42 sq cm
  8. 4 cm
  9. 8 cm
  10. 168 sq cm
  11. 36 cm
  12. 64 sq cm
  13. 11 cm
  14. 121 sq cm
  15. 98 sq cm
  16. 36 sq cm
  17. 10 cm
  18. 30 cm
  19. 165 sq cm
  20. 6 cm
  21. 57 sq cm
  22. 2 cm
  23. 44 cm
  24. 12 cm
  25. 25 sq cm
  26. 12 cm
  27. 169 sq cm
  28. 108 sq cm
  29. 54 cm
  30. 49 sq cm
  31. 16 sq cm
  32. 2 cm
  33. 60 cm
  34. 50 cm
  35. 11 cm
  36. 100 sq cm
  37. 150 sq cm
  38. 22 cm
  39. 70 sq cm
  40. 96 sq cm

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