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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 101 · 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 19 cm long and 5 cm wide. What is its perimeter? (a) 48 cm (b) 24 cm (c) 95 cm (d) 43 cm
  2. 2.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 169 sq cm (c) 48 sq cm (d) 24 sq cm
  3. 3.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 9 cm (b) 18 cm (c) 136 cm (d) 10 cm
  4. 4.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 52 sq cm (c) 196 sq cm (d) 26 sq cm
  5. 5.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 60 sq cm (c) 256 sq cm (d) 30 sq cm
  6. 6.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 24 cm (b) 19 cm (c) 22 cm (d) 11 cm
  7. 7.A rectangle is 14 cm long and 12 cm wide. What is its area? (a) 168 sq cm (b) 182 sq cm (c) 26 sq cm (d) 52 sq cm
  8. 8.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 81 sq cm (c) 32 sq cm (d) 64 sq cm
  9. 9.A rectangle is 16 cm long and 11 cm wide. What is its area? (a) 54 sq cm (b) 192 sq cm (c) 176 sq cm (d) 27 sq cm
  10. 10.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 10 cm (b) 16 cm (c) 20 cm (d) 18 cm
  11. 11.A rectangle is 17 cm long and 12 cm wide. What is its area? (a) 29 sq cm (b) 58 sq cm (c) 204 sq cm (d) 221 sq cm
  12. 12.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 36 sq cm (c) 81 sq cm (d) 18 sq cm
  13. 13.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 121 sq cm (c) 20 sq cm (d) 40 sq cm
  14. 14.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 49 sq cm (c) 24 sq cm (d) 12 sq cm
  15. 15.A rectangle is 14 cm long and 10 cm wide. What is its perimeter? (a) 48 cm (b) 24 cm (c) 140 cm (d) 38 cm
  16. 16.A rectangle has an area of 60 sq cm and a length of 15 cm. What is its width? (a) 45 cm (b) 5 cm (c) 8 cm (d) 4 cm
  17. 17.A rectangle is 13 cm long and 12 cm wide. What is its perimeter? (a) 50 cm (b) 25 cm (c) 156 cm (d) 38 cm
  18. 18.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 22 cm (b) 13 cm (c) 36 cm (d) 26 cm
  19. 19.A rectangle is 11 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 44 sq cm (c) 15 sq cm (d) 55 sq cm
  20. 20.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 18 cm (c) 16 cm (d) 9 cm
  21. 21.A rectangle is 12 cm long and 11 cm wide. What is its area? (a) 23 sq cm (b) 132 sq cm (c) 144 sq cm (d) 46 sq cm
  22. 22.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 19 sq cm (b) 24 sq cm (c) 9 sq cm (d) 18 sq cm
  23. 23.A rectangle is 15 cm long and 5 cm wide. What is its area? (a) 20 sq cm (b) 75 sq cm (c) 90 sq cm (d) 40 sq cm
  24. 24.A rectangle is 20 cm long and 8 cm wide. What is its area? (a) 56 sq cm (b) 160 sq cm (c) 180 sq cm (d) 28 sq cm
  25. 25.A rectangle is 12 cm long and 2 cm wide. What is its perimeter? (a) 26 cm (b) 24 cm (c) 28 cm (d) 14 cm
  26. 26.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 27 sq cm (c) 24 sq cm (d) 12 sq cm
  27. 27.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 18 sq cm (c) 16 sq cm (d) 8 sq cm
  28. 28.A rectangle has an area of 10 sq cm and a length of 5 cm. What is its width? (a) 2 cm (b) 5 cm (c) 3 cm (d) 4 cm
  29. 29.A rectangle is 14 cm long and 7 cm wide. What is its area? (a) 42 sq cm (b) 98 sq cm (c) 21 sq cm (d) 112 sq cm
  30. 30.A rectangle has an area of 40 sq cm and a length of 10 cm. What is its width? (a) 30 cm (b) 4 cm (c) 8 cm (d) 5 cm
  31. 31.A rectangle is 16 cm long and 5 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 96 sq cm (d) 80 sq cm
  32. 32.A rectangle has an area of 51 sq cm and a length of 17 cm. What is its width? (a) 34 cm (b) 6 cm (c) 4 cm (d) 3 cm
  33. 33.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 198 cm (b) 13 cm (c) 24 cm (d) 12 cm
  34. 34.A rectangle is 19 cm long and 10 cm wide. What is its area? (a) 190 sq cm (b) 58 sq cm (c) 29 sq cm (d) 209 sq cm
  35. 35.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 18 cm (b) 10 cm (c) 80 cm (d) 9 cm
  36. 36.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 30 cm (b) 22 cm (c) 17 cm (d) 11 cm
  37. 37.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its width? (a) 6 cm (b) 7 cm (c) 35 cm (d) 12 cm
  38. 38.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 140 cm (c) 11 cm (d) 22 cm
  39. 39.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 225 sq cm (c) 196 sq cm (d) 56 sq cm
  40. 40.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 34 sq cm (b) 80 sq cm (c) 17 sq cm (d) 70 sq cm

Answer key

  1. 48 cm
  2. 144 sq cm
  3. 9 cm
  4. 169 sq cm
  5. 225 sq cm
  6. 22 cm
  7. 168 sq cm
  8. 64 sq cm
  9. 176 sq cm
  10. 20 cm
  11. 204 sq cm
  12. 81 sq cm
  13. 100 sq cm
  14. 36 sq cm
  15. 48 cm
  16. 4 cm
  17. 50 cm
  18. 26 cm
  19. 44 sq cm
  20. 18 cm
  21. 132 sq cm
  22. 18 sq cm
  23. 75 sq cm
  24. 160 sq cm
  25. 28 cm
  26. 27 sq cm
  27. 12 sq cm
  28. 2 cm
  29. 98 sq cm
  30. 4 cm
  31. 80 sq cm
  32. 3 cm
  33. 12 cm
  34. 190 sq cm
  35. 9 cm
  36. 22 cm
  37. 6 cm
  38. 11 cm
  39. 196 sq cm
  40. 70 sq cm

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