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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 331 · 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 has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 11 cm (b) 190 cm (c) 12 cm (d) 22 cm
  2. 2.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 196 sq cm (c) 28 sq cm (d) 56 sq cm
  3. 3.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 60 cm (b) 14 cm (c) 8 cm (d) 7 cm
  4. 4.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 18 cm (c) 9 cm (d) 16 cm
  5. 5.A rectangle has an area of 32 sq cm and a length of 16 cm. What is its width? (a) 3 cm (b) 16 cm (c) 4 cm (d) 2 cm
  6. 6.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 40 sq cm (c) 121 sq cm (d) 20 sq cm
  7. 7.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 17 cm (b) 26 cm (c) 72 cm (d) 34 cm
  8. 8.A rectangle is 13 cm long and 6 cm wide. What is its area? (a) 19 sq cm (b) 91 sq cm (c) 38 sq cm (d) 78 sq cm
  9. 9.A rectangle is 15 cm long and 2 cm wide. What is its area? (a) 30 sq cm (b) 17 sq cm (c) 34 sq cm (d) 45 sq cm
  10. 10.A rectangle is 14 cm long and 5 cm wide. What is its perimeter? (a) 38 cm (b) 33 cm (c) 70 cm (d) 19 cm
  11. 11.A rectangle is 11 cm long and 8 cm wide. What is its area? (a) 99 sq cm (b) 88 sq cm (c) 19 sq cm (d) 38 sq cm
  12. 12.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 26 sq cm (b) 49 sq cm (c) 42 sq cm (d) 13 sq cm
  13. 13.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 28 sq cm (d) 21 sq cm
  14. 14.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 22 cm (c) 11 cm (d) 24 cm
  15. 15.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 169 sq cm (c) 52 sq cm (d) 196 sq cm
  16. 16.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 132 sq cm (b) 22 sq cm (c) 120 sq cm (d) 44 sq cm
  17. 17.A rectangle is 11 cm long and 7 cm wide. What is its area? (a) 18 sq cm (b) 88 sq cm (c) 77 sq cm (d) 36 sq cm
  18. 18.A rectangle is 12 cm long and 5 cm wide. What is its perimeter? (a) 60 cm (b) 17 cm (c) 34 cm (d) 29 cm
  19. 19.A rectangle is 19 cm long and 7 cm wide. What is its area? (a) 133 sq cm (b) 26 sq cm (c) 152 sq cm (d) 52 sq cm
  20. 20.A rectangle has an area of 48 sq cm and a length of 12 cm. What is its width? (a) 36 cm (b) 5 cm (c) 8 cm (d) 4 cm
  21. 21.A rectangle is 20 cm long and 6 cm wide. What is its perimeter? (a) 52 cm (b) 26 cm (c) 120 cm (d) 46 cm
  22. 22.A rectangle has an area of 42 sq cm and a length of 14 cm. What is its width? (a) 28 cm (b) 4 cm (c) 3 cm (d) 6 cm
  23. 23.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 13 sq cm (b) 48 sq cm (c) 26 sq cm (d) 40 sq cm
  24. 24.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 10 cm (b) 18 cm (c) 136 cm (d) 9 cm
  25. 25.A rectangle has an area of 16 sq cm and a length of 8 cm. What is its width? (a) 3 cm (b) 4 cm (c) 8 cm (d) 2 cm
  26. 26.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 16 sq cm (d) 24 sq cm
  27. 27.A rectangle has an area of 96 sq cm and a length of 12 cm. What is its width? (a) 8 cm (b) 84 cm (c) 9 cm (d) 16 cm
  28. 28.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 19 sq cm (b) 38 sq cm (c) 100 sq cm (d) 90 sq cm
  29. 29.A rectangle is 19 cm long and 12 cm wide. What is its area? (a) 62 sq cm (b) 228 sq cm (c) 247 sq cm (d) 31 sq cm
  30. 30.A rectangle has an area of 171 sq cm and a length of 19 cm. What is its width? (a) 10 cm (b) 152 cm (c) 9 cm (d) 18 cm
  31. 31.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 100 sq cm (c) 36 sq cm (d) 18 sq cm
  32. 32.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
  33. 33.A rectangle is 12 cm long and 6 cm wide. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 72 sq cm (d) 84 sq cm
  34. 34.A rectangle is 19 cm long and 3 cm wide. What is its perimeter? (a) 57 cm (b) 22 cm (c) 41 cm (d) 44 cm
  35. 35.A rectangle is 16 cm long and 9 cm wide. What is its area? (a) 25 sq cm (b) 160 sq cm (c) 144 sq cm (d) 50 sq cm
  36. 36.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 13 cm (c) 24 cm (d) 154 cm
  37. 37.A rectangle is 13 cm long and 2 cm wide. What is its perimeter? (a) 30 cm (b) 26 cm (c) 28 cm (d) 15 cm
  38. 38.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its width? (a) 5 cm (b) 6 cm (c) 10 cm (d) 24 cm
  39. 39.A rectangle is 11 cm long and 5 cm wide. What is its area? (a) 55 sq cm (b) 66 sq cm (c) 16 sq cm (d) 32 sq cm
  40. 40.A rectangle is 19 cm long and 11 cm wide. What is its perimeter? (a) 209 cm (b) 49 cm (c) 30 cm (d) 60 cm

Answer key

  1. 11 cm
  2. 196 sq cm
  3. 7 cm
  4. 18 cm
  5. 2 cm
  6. 100 sq cm
  7. 34 cm
  8. 78 sq cm
  9. 30 sq cm
  10. 38 cm
  11. 88 sq cm
  12. 42 sq cm
  13. 21 sq cm
  14. 22 cm
  15. 169 sq cm
  16. 120 sq cm
  17. 77 sq cm
  18. 34 cm
  19. 133 sq cm
  20. 4 cm
  21. 52 cm
  22. 3 cm
  23. 40 sq cm
  24. 9 cm
  25. 2 cm
  26. 16 sq cm
  27. 8 cm
  28. 90 sq cm
  29. 228 sq cm
  30. 9 cm
  31. 81 sq cm
  32. 49 sq cm
  33. 72 sq cm
  34. 44 cm
  35. 144 sq cm
  36. 12 cm
  37. 30 cm
  38. 5 cm
  39. 55 sq cm
  40. 60 cm

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