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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 623 · 40 sums
TalentJR

The method (Around or inside): Perimeter of a regular shape = number of sides × side. Rectangle: 2 × (length + width). Area of a rectangle = length × width; square = side × side. Cost of fencing = perimeter × rate per metre; cost of painting = area × rate per square metre. Cut-out shape: area of the big rectangle − area of the part cut out.

NameDateTime takenScore ___ / 40
  1. 1.A square has a perimeter of 52 cm. What is its area (in square cm)?
  2. 2.A wall is 4 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  3. 3.The perimeter of a rectangle is 92 cm and its length is 24 cm. What is its width (in cm)?
  4. 4.A square has a perimeter of 56 cm. What is its area (in square cm)?
  5. 5.The perimeter of a rectangle is 40 cm and its length is 15 cm. What is its width (in cm)?
  6. 6.A wall is 8 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.A square has a perimeter of 64 cm. What is its area (in square cm)?
  8. 8.A rectangular field is 95 m long and 40 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  9. 9.A square has a perimeter of 12 cm. What is its area (in square cm)?
  10. 10.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
  11. 11.Each side of a regular pentagon is 19 cm. What is its perimeter (in cm)?
  12. 12.A rectangular field is 80 m long and 75 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.A rectangular field is 40 m long and 35 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.From a rectangle 16 cm long and 5 cm wide, a rectangle 1 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  15. 15.Each side of an equilateral triangle is 2 cm. What is its perimeter (in cm)?
  16. 16.A wall is 5 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.From a rectangle 9 cm long and 7 cm wide, a rectangle 2 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  18. 18.The perimeter of a rectangle is 60 cm and its length is 23 cm. What is its width (in cm)?
  19. 19.Each side of a regular octagon is 9 cm. What is its perimeter (in cm)?
  20. 20.A wall is 12 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  21. 21.From a rectangle 14 cm long and 10 cm wide, a rectangle 5 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  22. 22.The perimeter of a rectangle is 46 cm and its length is 17 cm. What is its width (in cm)?
  23. 23.The perimeter of a rectangle is 74 cm and its length is 29 cm. What is its width (in cm)?
  24. 24.A square has a perimeter of 20 cm. What is its area (in square cm)?
  25. 25.From a rectangle 16 cm long and 14 cm wide, a rectangle 11 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  26. 26.A rectangular field is 95 m long and 30 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  27. 27.Each side of an equilateral triangle is 11 cm. What is its perimeter (in cm)?
  28. 28.A rectangular field is 90 m long and 30 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.A rectangular field is 55 m long and 45 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.A square has a perimeter of 48 cm. What is its area (in square cm)?
  31. 31.A rectangular field is 70 m long and 10 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.Each side of a regular hexagon is 23 cm. What is its perimeter (in cm)?
  33. 33.From a rectangle 16 cm long and 11 cm wide, a rectangle 10 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  34. 34.A wall is 3 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  35. 35.From a rectangle 12 cm long and 12 cm wide, a rectangle 2 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  36. 36.Each side of a square is 13 cm. What is its perimeter (in cm)?
  37. 37.A wall is 9 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  38. 38.A rectangular field is 75 m long and 45 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.From a rectangle 17 cm long and 11 cm wide, a rectangle 1 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  40. 40.A square has a perimeter of 8 cm. What is its area (in square cm)?

Answer key

  1. 169
  2. 240
  3. 22
  4. 196
  5. 5
  6. 1440
  7. 256
  8. 6750
  9. 9
  10. 2
  11. 95
  12. 6510
  13. 750
  14. 78
  15. 6
  16. 225
  17. 59
  18. 7
  19. 72
  20. 1200
  21. 105
  22. 6
  23. 8
  24. 25
  25. 114
  26. 4250
  27. 33
  28. 2640
  29. 1200
  30. 144
  31. 2720
  32. 138
  33. 166
  34. 270
  35. 126
  36. 52
  37. 1440
  38. 2160
  39. 183
  40. 4

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