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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 678 · 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 wall is 6 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  2. 2.A wall is 5 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  3. 3.A square has a perimeter of 68 cm. What is its area (in square cm)?
  4. 4.The perimeter of a rectangle is 24 cm and its length is 8 cm. What is its width (in cm)?
  5. 5.A wall is 11 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  6. 6.A wall is 12 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.A rectangular field is 60 m long and 10 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  8. 8.A square has a perimeter of 12 cm. What is its area (in square cm)?
  9. 9.Each side of a regular octagon is 22 cm. What is its perimeter (in cm)?
  10. 10.The perimeter of a rectangle is 112 cm and its length is 30 cm. What is its width (in cm)?
  11. 11.From a rectangle 16 cm long and 13 cm wide, a rectangle 7 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  12. 12.Each side of an equilateral triangle is 22 cm. What is its perimeter (in cm)?
  13. 13.From a rectangle 20 cm long and 8 cm wide, a rectangle 18 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  14. 14.Each side of a regular hexagon is 24 cm. What is its perimeter (in cm)?
  15. 15.Each side of a regular pentagon is 14 cm. What is its perimeter (in cm)?
  16. 16.A rectangular field is 70 m long and 20 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  17. 17.A square has a perimeter of 56 cm. What is its area (in square cm)?
  18. 18.Each side of an equilateral triangle is 19 cm. What is its perimeter (in cm)?
  19. 19.A wall is 5 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  20. 20.From a rectangle 12 cm long and 10 cm wide, a rectangle 6 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  21. 21.Each side of a regular octagon is 23 cm. What is its perimeter (in cm)?
  22. 22.From a rectangle 14 cm long and 7 cm wide, a rectangle 8 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  23. 23.From a rectangle 18 cm long and 8 cm wide, a rectangle 9 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  24. 24.A wall is 4 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  25. 25.A square has a perimeter of 16 cm. What is its area (in square cm)?
  26. 26.A rectangular field is 55 m long and 30 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  27. 27.Each side of a regular octagon is 25 cm. What is its perimeter (in cm)?
  28. 28.Each side of a regular octagon is 7 cm. What is its perimeter (in cm)?
  29. 29.From a rectangle 8 cm long and 5 cm wide, a rectangle 4 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  30. 30.A wall is 4 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  31. 31.A wall is 11 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  32. 32.From a rectangle 12 cm long and 12 cm wide, a rectangle 9 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  33. 33.A wall is 10 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  34. 34.A rectangular field is 60 m long and 30 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  35. 35.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  36. 36.A square has a perimeter of 52 cm. What is its area (in square cm)?
  37. 37.A wall is 5 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  38. 38.Each side of a regular octagon is 6 cm. What is its perimeter (in cm)?
  39. 39.Each side of a regular octagon is 5 cm. What is its perimeter (in cm)?
  40. 40.Each side of a regular pentagon is 19 cm. What is its perimeter (in cm)?

Answer key

  1. 240
  2. 400
  3. 289
  4. 4
  5. 880
  6. 1920
  7. 1120
  8. 9
  9. 176
  10. 26
  11. 201
  12. 66
  13. 124
  14. 144
  15. 70
  16. 3420
  17. 196
  18. 57
  19. 200
  20. 102
  21. 184
  22. 82
  23. 108
  24. 480
  25. 16
  26. 2720
  27. 200
  28. 56
  29. 28
  30. 280
  31. 330
  32. 63
  33. 900
  34. 1080
  35. 1890
  36. 169
  37. 600
  38. 48
  39. 40
  40. 95

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