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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 442 · 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 5 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  2. 2.A wall is 6 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  3. 3.The perimeter of a rectangle is 70 cm and its length is 21 cm. What is its width (in cm)?
  4. 4.The perimeter of a rectangle is 42 cm and its length is 19 cm. What is its width (in cm)?
  5. 5.A wall is 4 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  6. 6.A square has a perimeter of 80 cm. What is its area (in square cm)?
  7. 7.A rectangular field is 60 m long and 40 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  8. 8.A wall is 3 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  9. 9.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  10. 10.From a rectangle 13 cm long and 7 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)?
  11. 11.From a rectangle 18 cm long and 8 cm wide, a rectangle 7 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  12. 12.A rectangular field is 30 m long and 20 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.Each side of a regular pentagon is 3 cm. What is its perimeter (in cm)?
  14. 14.Each side of a square is 6 cm. What is its perimeter (in cm)?
  15. 15.A square has a perimeter of 64 cm. What is its area (in square cm)?
  16. 16.A rectangular field is 65 m long and 25 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  17. 17.A wall is 5 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  18. 18.The perimeter of a rectangle is 40 cm and its length is 12 cm. What is its width (in cm)?
  19. 19.The perimeter of a rectangle is 62 cm and its length is 25 cm. What is its width (in cm)?
  20. 20.The perimeter of a rectangle is 16 cm and its length is 6 cm. What is its width (in cm)?
  21. 21.The perimeter of a rectangle is 56 cm and its length is 22 cm. What is its width (in cm)?
  22. 22.The perimeter of a rectangle is 46 cm and its length is 15 cm. What is its width (in cm)?
  23. 23.Each side of a square is 21 cm. What is its perimeter (in cm)?
  24. 24.A square has a perimeter of 12 cm. What is its area (in square cm)?
  25. 25.Each side of a regular pentagon is 24 cm. What is its perimeter (in cm)?
  26. 26.The perimeter of a rectangle is 50 cm and its length is 19 cm. What is its width (in cm)?
  27. 27.A wall is 5 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  28. 28.A wall is 6 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  29. 29.A rectangular field is 65 m long and 20 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.The perimeter of a rectangle is 24 cm and its length is 8 cm. What is its width (in cm)?
  31. 31.From a rectangle 18 cm long and 11 cm wide, a rectangle 5 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  32. 32.Each side of a square is 14 cm. What is its perimeter (in cm)?
  33. 33.From a rectangle 19 cm long and 10 cm wide, a rectangle 15 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  34. 34.Each side of an equilateral triangle is 12 cm. What is its perimeter (in cm)?
  35. 35.Each side of a regular pentagon is 6 cm. What is its perimeter (in cm)?
  36. 36.A wall is 7 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  37. 37.Each side of a regular pentagon is 12 cm. What is its perimeter (in cm)?
  38. 38.A wall is 9 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  39. 39.From a rectangle 18 cm long and 9 cm wide, a rectangle 16 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  40. 40.A rectangular field is 85 m long and 60 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 500
  2. 180
  3. 14
  4. 2
  5. 1200
  6. 400
  7. 4600
  8. 120
  9. 900
  10. 89
  11. 130
  12. 1400
  13. 15
  14. 24
  15. 256
  16. 1620
  17. 875
  18. 8
  19. 6
  20. 2
  21. 6
  22. 8
  23. 84
  24. 9
  25. 120
  26. 6
  27. 1000
  28. 360
  29. 2210
  30. 4
  31. 183
  32. 56
  33. 100
  34. 36
  35. 30
  36. 490
  37. 60
  38. 540
  39. 66
  40. 6960

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