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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 951 · 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 2 cm wide. What is its perimeter? (a) 38 cm (b) 36 cm (c) 20 cm (d) 40 cm
  2. 2.A rectangle has an area of 100 sq cm and a length of 20 cm. What is its width? (a) 6 cm (b) 5 cm (c) 10 cm (d) 80 cm
  3. 3.A rectangle is 17 cm long and 11 cm wide. What is its perimeter? (a) 56 cm (b) 28 cm (c) 187 cm (d) 45 cm
  4. 4.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 20 cm (c) 12 cm (d) 32 cm
  5. 5.A rectangle has an area of 45 sq cm and a length of 9 cm. What is its width? (a) 36 cm (b) 5 cm (c) 6 cm (d) 10 cm
  6. 6.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 15 sq cm (b) 63 sq cm (c) 30 sq cm (d) 54 sq cm
  7. 7.A rectangle is 13 cm long and 9 cm wide. What is its area? (a) 130 sq cm (b) 22 sq cm (c) 117 sq cm (d) 44 sq cm
  8. 8.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 42 sq cm (b) 13 sq cm (c) 26 sq cm (d) 49 sq cm
  9. 9.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 196 sq cm (c) 26 sq cm (d) 169 sq cm
  10. 10.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its width? (a) 108 cm (b) 7 cm (c) 8 cm (d) 14 cm
  11. 11.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 28 sq cm (c) 14 sq cm (d) 64 sq cm
  12. 12.A rectangle has an area of 119 sq cm and a length of 17 cm. What is its width? (a) 7 cm (b) 8 cm (c) 14 cm (d) 102 cm
  13. 13.A rectangle is 17 cm long and 10 cm wide. What is its perimeter? (a) 170 cm (b) 27 cm (c) 54 cm (d) 44 cm
  14. 14.A rectangle is 20 cm long and 5 cm wide. What is its perimeter? (a) 50 cm (b) 45 cm (c) 25 cm (d) 100 cm
  15. 15.A rectangle is 11 cm long and 6 cm wide. What is its perimeter? (a) 17 cm (b) 28 cm (c) 66 cm (d) 34 cm
  16. 16.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 14 cm (c) 8 cm (d) 16 cm
  17. 17.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 100 sq cm (c) 18 sq cm (d) 81 sq cm
  18. 18.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 27 cm (b) 12 cm (c) 24 cm (d) 21 cm
  19. 19.A rectangle is 20 cm long and 2 cm wide. What is its area? (a) 60 sq cm (b) 22 sq cm (c) 40 sq cm (d) 44 sq cm
  20. 20.A rectangle is 20 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 100 sq cm (c) 48 sq cm (d) 80 sq cm
  21. 21.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 9 sq cm (b) 19 sq cm (c) 24 sq cm (d) 18 sq cm
  22. 22.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 121 sq cm (c) 144 sq cm (d) 22 sq cm
  23. 23.A rectangle is 19 cm long and 10 cm wide. What is its area? (a) 209 sq cm (b) 190 sq cm (c) 29 sq cm (d) 58 sq cm
  24. 24.A rectangle is 15 cm long and 12 cm wide. What is its area? (a) 27 sq cm (b) 180 sq cm (c) 195 sq cm (d) 54 sq cm
  25. 25.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 144 sq cm (d) 169 sq cm
  26. 26.A rectangle is 17 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 85 sq cm (c) 102 sq cm (d) 44 sq cm
  27. 27.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 28 sq cm (b) 10 sq cm (c) 21 sq cm (d) 20 sq cm
  28. 28.A rectangle is 14 cm long and 9 cm wide. What is its perimeter? (a) 37 cm (b) 23 cm (c) 126 cm (d) 46 cm
  29. 29.A rectangle is 18 cm long and 6 cm wide. What is its perimeter? (a) 108 cm (b) 24 cm (c) 48 cm (d) 42 cm
  30. 30.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 20 sq cm (c) 100 sq cm (d) 40 sq cm
  31. 31.A rectangle is 18 cm long and 7 cm wide. What is its area? (a) 25 sq cm (b) 144 sq cm (c) 50 sq cm (d) 126 sq cm
  32. 32.A rectangle is 19 cm long and 8 cm wide. What is its area? (a) 54 sq cm (b) 27 sq cm (c) 152 sq cm (d) 171 sq cm
  33. 33.A rectangle is 19 cm long and 2 cm wide. What is its perimeter? (a) 21 cm (b) 40 cm (c) 42 cm (d) 38 cm
  34. 34.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 10 sq cm (b) 24 sq cm (c) 30 sq cm (d) 20 sq cm
  35. 35.A rectangle is 18 cm long and 5 cm wide. What is its perimeter? (a) 46 cm (b) 41 cm (c) 23 cm (d) 90 cm
  36. 36.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 44 sq cm (b) 14 sq cm (c) 33 sq cm (d) 28 sq cm
  37. 37.A rectangle has an area of 108 sq cm and a length of 18 cm. What is its width? (a) 12 cm (b) 7 cm (c) 90 cm (d) 6 cm
  38. 38.A rectangle has an area of 90 sq cm and a length of 15 cm. What is its width? (a) 6 cm (b) 75 cm (c) 12 cm (d) 7 cm
  39. 39.A rectangle is 18 cm long and 11 cm wide. What is its area? (a) 216 sq cm (b) 29 sq cm (c) 58 sq cm (d) 198 sq cm
  40. 40.A rectangle is 19 cm long and 12 cm wide. What is its area? (a) 31 sq cm (b) 228 sq cm (c) 247 sq cm (d) 62 sq cm

Answer key

  1. 40 cm
  2. 5 cm
  3. 56 cm
  4. 24 cm
  5. 5 cm
  6. 54 sq cm
  7. 117 sq cm
  8. 42 sq cm
  9. 169 sq cm
  10. 7 cm
  11. 49 sq cm
  12. 7 cm
  13. 54 cm
  14. 50 cm
  15. 34 cm
  16. 16 cm
  17. 81 sq cm
  18. 24 cm
  19. 40 sq cm
  20. 80 sq cm
  21. 18 sq cm
  22. 121 sq cm
  23. 190 sq cm
  24. 180 sq cm
  25. 144 sq cm
  26. 85 sq cm
  27. 21 sq cm
  28. 46 cm
  29. 48 cm
  30. 100 sq cm
  31. 126 sq cm
  32. 152 sq cm
  33. 42 cm
  34. 24 sq cm
  35. 46 cm
  36. 33 sq cm
  37. 6 cm
  38. 6 cm
  39. 198 sq cm
  40. 228 sq cm

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