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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 640 · 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.From a rectangle 6 cm long and 10 cm wide, a rectangle 4 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  2. 2.A wall is 5 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  3. 3.From a rectangle 16 cm long and 7 cm wide, a rectangle 12 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  4. 4.From a rectangle 10 cm long and 11 cm wide, a rectangle 8 cm by 8 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 3 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  6. 6.Each side of a regular octagon is 9 cm. What is its perimeter (in cm)?
  7. 7.A rectangular field is 85 m long and 70 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  8. 8.The perimeter of a rectangle is 78 cm and its length is 30 cm. What is its width (in cm)?
  9. 9.Each side of a regular pentagon is 25 cm. What is its perimeter (in cm)?
  10. 10.A square has a perimeter of 24 cm. What is its area (in square cm)?
  11. 11.The perimeter of a rectangle is 30 cm and its length is 10 cm. What is its width (in cm)?
  12. 12.A rectangular field is 100 m long and 95 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.A square has a perimeter of 8 cm. What is its area (in square cm)?
  14. 14.The perimeter of a rectangle is 28 cm and its length is 8 cm. What is its width (in cm)?
  15. 15.A wall is 6 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  16. 16.A square has a perimeter of 40 cm. What is its area (in square cm)?
  17. 17.From a rectangle 12 cm long and 12 cm wide, a rectangle 6 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  18. 18.From a rectangle 15 cm long and 7 cm wide, a rectangle 12 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  19. 19.A square has a perimeter of 80 cm. What is its area (in square cm)?
  20. 20.From a rectangle 19 cm long and 11 cm wide, a rectangle 17 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  21. 21.Each side of an equilateral triangle is 16 cm. What is its perimeter (in cm)?
  22. 22.A wall is 12 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  23. 23.A wall is 9 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  24. 24.A square has a perimeter of 28 cm. What is its area (in square cm)?
  25. 25.From a rectangle 18 cm long and 7 cm wide, a rectangle 10 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  26. 26.The perimeter of a rectangle is 24 cm and its length is 9 cm. What is its width (in cm)?
  27. 27.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  28. 28.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 ₹)?
  29. 29.A wall is 12 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  30. 30.A rectangular field is 70 m long and 10 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.From a rectangle 15 cm long and 11 cm wide, a rectangle 4 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  32. 32.A rectangular field is 70 m long and 25 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.From a rectangle 9 cm long and 5 cm wide, a rectangle 5 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 10 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  35. 35.A square has a perimeter of 32 cm. What is its area (in square cm)?
  36. 36.From a rectangle 14 cm long and 5 cm wide, a rectangle 1 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  37. 37.The perimeter of a rectangle is 58 cm and its length is 22 cm. What is its width (in cm)?
  38. 38.From a rectangle 20 cm long and 14 cm wide, a rectangle 3 cm by 12 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  39. 39.The perimeter of a rectangle is 70 cm and its length is 19 cm. What is its width (in cm)?
  40. 40.A rectangular field is 70 m long and 40 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 56
  2. 600
  3. 88
  4. 46
  5. 600
  6. 72
  7. 3410
  8. 9
  9. 125
  10. 36
  11. 5
  12. 3510
  13. 4
  14. 6
  15. 600
  16. 100
  17. 132
  18. 45
  19. 400
  20. 90
  21. 48
  22. 600
  23. 810
  24. 49
  25. 86
  26. 3
  27. 2070
  28. 1920
  29. 240
  30. 2240
  31. 133
  32. 4180
  33. 40
  34. 2400
  35. 64
  36. 69
  37. 7
  38. 244
  39. 16
  40. 4840

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