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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 294 · 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 14 cm wide, a rectangle 1 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  2. 2.A rectangular field is 80 m long and 55 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.A square has a perimeter of 16 cm. What is its area (in square cm)?
  4. 4.A square has a perimeter of 64 cm. What is its area (in square cm)?
  5. 5.Each side of an equilateral triangle is 7 cm. What is its perimeter (in cm)?
  6. 6.Each side of a square is 4 cm. What is its perimeter (in cm)?
  7. 7.A rectangular field is 35 m long and 15 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  8. 8.A rectangular field is 95 m long and 55 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  9. 9.The perimeter of a rectangle is 60 cm and its length is 28 cm. What is its width (in cm)?
  10. 10.From a rectangle 18 cm long and 12 cm wide, a rectangle 10 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  11. 11.A wall is 10 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  12. 12.A wall is 9 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  13. 13.A rectangular field is 60 m long and 50 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.Each side of a square is 2 cm. What is its perimeter (in cm)?
  15. 15.Each side of a square is 5 cm. What is its perimeter (in cm)?
  16. 16.A wall is 4 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.Each side of a square is 9 cm. What is its perimeter (in cm)?
  18. 18.The perimeter of a rectangle is 64 cm and its length is 23 cm. What is its width (in cm)?
  19. 19.From a rectangle 15 cm long and 15 cm wide, a rectangle 1 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  20. 20.A wall is 8 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  21. 21.A wall is 12 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.A rectangular field is 45 m long and 10 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.Each side of a regular pentagon is 3 cm. What is its perimeter (in cm)?
  24. 24.A rectangular field is 75 m long and 20 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  25. 25.The perimeter of a rectangle is 32 cm and its length is 13 cm. What is its width (in cm)?
  26. 26.From a rectangle 18 cm long and 14 cm wide, a rectangle 7 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  27. 27.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  28. 28.The perimeter of a rectangle is 70 cm and its length is 28 cm. What is its width (in cm)?
  29. 29.Each side of an equilateral triangle is 12 cm. What is its perimeter (in cm)?
  30. 30.Each side of a regular hexagon is 20 cm. What is its perimeter (in cm)?
  31. 31.A wall is 10 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  32. 32.The perimeter of a rectangle is 56 cm and its length is 17 cm. What is its width (in cm)?
  33. 33.From a rectangle 6 cm long and 5 cm wide, a rectangle 4 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  34. 34.A rectangular field is 90 m long and 20 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  35. 35.The perimeter of a rectangle is 44 cm and its length is 17 cm. What is its width (in cm)?
  36. 36.A wall is 12 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  37. 37.The perimeter of a rectangle is 84 cm and its length is 28 cm. What is its width (in cm)?
  38. 38.Each side of a regular hexagon is 6 cm. What is its perimeter (in cm)?
  39. 39.A wall is 6 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  40. 40.A rectangular field is 50 m long and 40 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 73
  2. 4590
  3. 16
  4. 256
  5. 21
  6. 16
  7. 1800
  8. 3000
  9. 2
  10. 146
  11. 2000
  12. 450
  13. 4180
  14. 8
  15. 20
  16. 300
  17. 36
  18. 9
  19. 218
  20. 640
  21. 900
  22. 880
  23. 15
  24. 4370
  25. 3
  26. 224
  27. 840
  28. 7
  29. 36
  30. 120
  31. 1200
  32. 11
  33. 22
  34. 2640
  35. 5
  36. 3240
  37. 14
  38. 36
  39. 1260
  40. 2880

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