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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 27 · 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 18 cm long and 9 cm wide. What is its area? (a) 54 sq cm (b) 162 sq cm (c) 180 sq cm (d) 27 sq cm
  2. 2.A rectangle is 20 cm long and 8 cm wide. What is its perimeter? (a) 56 cm (b) 48 cm (c) 160 cm (d) 28 cm
  3. 3.A rectangle is 19 cm long and 7 cm wide. What is its perimeter? (a) 26 cm (b) 133 cm (c) 45 cm (d) 52 cm
  4. 4.A rectangle has an area of 84 sq cm and a length of 12 cm. What is its width? (a) 7 cm (b) 8 cm (c) 72 cm (d) 14 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 has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 143 cm (b) 13 cm (c) 24 cm (d) 12 cm
  7. 7.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 20 sq cm (c) 16 sq cm (d) 10 sq cm
  8. 8.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 36 sq cm (c) 49 sq cm (d) 24 sq cm
  9. 9.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 12 cm (b) 13 cm (c) 24 cm (d) 165 cm
  10. 10.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 30 sq cm (c) 11 sq cm (d) 36 sq cm
  11. 11.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 7 cm (c) 70 cm (d) 6 cm
  12. 12.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 220 cm (b) 13 cm (c) 24 cm (d) 12 cm
  13. 13.A rectangle is 11 cm long and 8 cm wide. What is its area? (a) 38 sq cm (b) 88 sq cm (c) 99 sq cm (d) 19 sq cm
  14. 14.A rectangle has an area of 18 sq cm and a length of 9 cm. What is its width? (a) 3 cm (b) 9 cm (c) 4 cm (d) 2 cm
  15. 15.A rectangle has an area of 80 sq cm and a length of 16 cm. What is its width? (a) 5 cm (b) 64 cm (c) 10 cm (d) 6 cm
  16. 16.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 22 sq cm (b) 35 sq cm (c) 28 sq cm (d) 11 sq cm
  17. 17.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 9 cm (b) 136 cm (c) 10 cm (d) 18 cm
  18. 18.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 25 sq cm (d) 36 sq cm
  19. 19.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 68 sq cm (b) 42 sq cm (c) 85 sq cm (d) 21 sq cm
  20. 20.A rectangle is 13 cm long and 6 cm wide. What is its perimeter? (a) 32 cm (b) 78 cm (c) 19 cm (d) 38 cm
  21. 21.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 169 sq cm (d) 196 sq cm
  22. 22.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 64 sq cm (d) 49 sq cm
  23. 23.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 36 sq cm (c) 18 sq cm (d) 81 sq cm
  24. 24.A rectangle has an area of 126 sq cm and a length of 14 cm. What is its width? (a) 112 cm (b) 9 cm (c) 10 cm (d) 18 cm
  25. 25.A rectangle is 19 cm long and 11 cm wide. What is its perimeter? (a) 49 cm (b) 30 cm (c) 209 cm (d) 60 cm
  26. 26.A rectangle is 14 cm long and 6 cm wide. What is its area? (a) 40 sq cm (b) 98 sq cm (c) 84 sq cm (d) 20 sq cm
  27. 27.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 72 sq cm (b) 16 sq cm (c) 63 sq cm (d) 32 sq cm
  28. 28.A rectangle is 17 cm long and 12 cm wide. What is its perimeter? (a) 29 cm (b) 58 cm (c) 46 cm (d) 204 cm
  29. 29.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 121 sq cm (c) 100 sq cm (d) 20 sq cm
  30. 30.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 18 cm (b) 28 cm (c) 22 cm (d) 11 cm
  31. 31.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 23 cm (b) 30 cm (c) 26 cm (d) 13 cm
  32. 32.A rectangle has an area of 90 sq cm and a length of 15 cm. What is its width? (a) 12 cm (b) 6 cm (c) 75 cm (d) 7 cm
  33. 33.A rectangle is 10 cm long and 7 cm wide. What is its perimeter? (a) 27 cm (b) 17 cm (c) 70 cm (d) 34 cm
  34. 34.A rectangle is 13 cm long and 12 cm wide. What is its perimeter? (a) 25 cm (b) 38 cm (c) 156 cm (d) 50 cm
  35. 35.A rectangle is 15 cm long and 4 cm wide. What is its perimeter? (a) 38 cm (b) 34 cm (c) 19 cm (d) 60 cm
  36. 36.A rectangle is 18 cm long and 11 cm wide. What is its perimeter? (a) 198 cm (b) 47 cm (c) 58 cm (d) 29 cm
  37. 37.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 24 cm (b) 12 cm (c) 20 cm (d) 22 cm
  38. 38.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 14 sq cm (b) 21 sq cm (c) 9 sq cm (d) 18 sq cm
  39. 39.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 27 sq cm (b) 54 sq cm (c) 170 sq cm (d) 187 sq cm
  40. 40.A rectangle is 16 cm long and 12 cm wide. What is its perimeter? (a) 44 cm (b) 28 cm (c) 56 cm (d) 192 cm

Answer key

  1. 162 sq cm
  2. 56 cm
  3. 52 cm
  4. 7 cm
  5. 225 sq cm
  6. 12 cm
  7. 16 sq cm
  8. 36 sq cm
  9. 12 cm
  10. 30 sq cm
  11. 6 cm
  12. 12 cm
  13. 88 sq cm
  14. 2 cm
  15. 5 cm
  16. 28 sq cm
  17. 9 cm
  18. 25 sq cm
  19. 68 sq cm
  20. 38 cm
  21. 169 sq cm
  22. 49 sq cm
  23. 81 sq cm
  24. 9 cm
  25. 60 cm
  26. 84 sq cm
  27. 63 sq cm
  28. 58 cm
  29. 100 sq cm
  30. 22 cm
  31. 26 cm
  32. 6 cm
  33. 34 cm
  34. 50 cm
  35. 38 cm
  36. 58 cm
  37. 24 cm
  38. 14 sq cm
  39. 170 sq cm
  40. 56 cm

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