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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 347 · 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 7 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  2. 2.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.From a rectangle 18 cm long and 15 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)?
  4. 4.From a rectangle 9 cm long and 5 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)?
  5. 5.A wall is 8 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  6. 6.A square has a perimeter of 32 cm. What is its area (in square cm)?
  7. 7.The perimeter of a rectangle is 46 cm and its length is 20 cm. What is its width (in cm)?
  8. 8.Each side of an equilateral triangle is 19 cm. What is its perimeter (in cm)?
  9. 9.From a rectangle 7 cm long and 10 cm wide, a rectangle 2 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  10. 10.From a rectangle 7 cm long and 10 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)?
  11. 11.A square has a perimeter of 76 cm. What is its area (in square cm)?
  12. 12.A rectangular field is 95 m long and 30 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.A square has a perimeter of 72 cm. What is its area (in square cm)?
  14. 14.The perimeter of a rectangle is 54 cm and its length is 14 cm. What is its width (in cm)?
  15. 15.Each side of a regular hexagon is 22 cm. What is its perimeter (in cm)?
  16. 16.A square has a perimeter of 20 cm. What is its area (in square cm)?
  17. 17.A wall is 6 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  18. 18.The perimeter of a rectangle is 38 cm and its length is 12 cm. What is its width (in cm)?
  19. 19.A wall is 4 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  20. 20.Each side of a square is 17 cm. What is its perimeter (in cm)?
  21. 21.A square has a perimeter of 16 cm. What is its area (in square cm)?
  22. 22.Each side of a regular hexagon is 25 cm. What is its perimeter (in cm)?
  23. 23.A square has a perimeter of 64 cm. What is its area (in square cm)?
  24. 24.A square has a perimeter of 40 cm. What is its area (in square cm)?
  25. 25.The perimeter of a rectangle is 44 cm and its length is 12 cm. What is its width (in cm)?
  26. 26.From a rectangle 9 cm long and 11 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)?
  27. 27.The perimeter of a rectangle is 40 cm and its length is 11 cm. What is its width (in cm)?
  28. 28.Each side of an equilateral triangle is 13 cm. What is its perimeter (in cm)?
  29. 29.A rectangular field is 45 m long and 30 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.From a rectangle 10 cm long and 9 cm wide, a rectangle 2 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  31. 31.The perimeter of a rectangle is 36 cm and its length is 12 cm. What is its width (in cm)?
  32. 32.A wall is 3 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  33. 33.The perimeter of a rectangle is 56 cm and its length is 22 cm. What is its width (in cm)?
  34. 34.From a rectangle 16 cm long and 12 cm wide, a rectangle 4 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  35. 35.A square has a perimeter of 80 cm. What is its area (in square cm)?
  36. 36.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  37. 37.From a rectangle 15 cm long and 15 cm wide, a rectangle 5 cm by 13 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  38. 38.A wall is 4 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  39. 39.Each side of a square is 5 cm. What is its perimeter (in cm)?
  40. 40.Each side of a regular pentagon is 4 cm. What is its perimeter (in cm)?

Answer key

  1. 1400
  2. 1760
  3. 255
  4. 27
  5. 560
  6. 64
  7. 3
  8. 57
  9. 68
  10. 55
  11. 361
  12. 3250
  13. 324
  14. 13
  15. 132
  16. 25
  17. 1800
  18. 7
  19. 600
  20. 68
  21. 16
  22. 150
  23. 256
  24. 100
  25. 10
  26. 95
  27. 9
  28. 39
  29. 1350
  30. 78
  31. 6
  32. 300
  33. 6
  34. 164
  35. 400
  36. 300
  37. 160
  38. 1080
  39. 20
  40. 20

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