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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 260 · 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 square has a perimeter of 72 cm. What is its area (in square cm)?
  2. 2.From a rectangle 9 cm long and 8 cm wide, a rectangle 1 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  3. 3.The perimeter of a rectangle is 16 cm and its length is 6 cm. What is its width (in cm)?
  4. 4.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.The perimeter of a rectangle is 54 cm and its length is 23 cm. What is its width (in cm)?
  6. 6.From a rectangle 6 cm long and 8 cm wide, a rectangle 3 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  7. 7.The perimeter of a rectangle is 38 cm and its length is 10 cm. What is its width (in cm)?
  8. 8.A square has a perimeter of 12 cm. What is its area (in square cm)?
  9. 9.From a rectangle 6 cm long and 13 cm wide, a rectangle 4 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  10. 10.Each side of a regular pentagon is 13 cm. What is its perimeter (in cm)?
  11. 11.Each side of a regular pentagon is 12 cm. What is its perimeter (in cm)?
  12. 12.From a rectangle 13 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)?
  13. 13.From a rectangle 6 cm long and 6 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)?
  14. 14.Each side of a regular hexagon is 13 cm. What is its perimeter (in cm)?
  15. 15.Each side of an equilateral triangle is 2 cm. What is its perimeter (in cm)?
  16. 16.A wall is 4 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.A wall is 4 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  18. 18.From a rectangle 18 cm long and 10 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)?
  19. 19.A wall is 8 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  20. 20.A square has a perimeter of 20 cm. What is its area (in square cm)?
  21. 21.From a rectangle 10 cm long and 9 cm wide, a rectangle 8 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  22. 22.From a rectangle 9 cm long and 8 cm wide, a rectangle 2 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  23. 23.A square has a perimeter of 48 cm. What is its area (in square cm)?
  24. 24.A wall is 4 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  25. 25.Each side of an equilateral triangle is 3 cm. What is its perimeter (in cm)?
  26. 26.A rectangular field is 40 m long and 25 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  27. 27.From a rectangle 7 cm long and 6 cm wide, a rectangle 3 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  28. 28.From a rectangle 19 cm long and 8 cm wide, a rectangle 12 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  29. 29.From a rectangle 9 cm long and 7 cm wide, a rectangle 1 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  30. 30.From a rectangle 6 cm long and 9 cm wide, a rectangle 2 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  31. 31.A rectangular field is 85 m long and 35 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.A square has a perimeter of 80 cm. What is its area (in square cm)?
  33. 33.Each side of an equilateral triangle is 7 cm. What is its perimeter (in cm)?
  34. 34.Each side of a regular pentagon is 15 cm. What is its perimeter (in cm)?
  35. 35.A wall is 7 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  36. 36.A square has a perimeter of 44 cm. What is its area (in square cm)?
  37. 37.A rectangular field is 55 m long and 10 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  38. 38.From a rectangle 19 cm long and 12 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)?
  39. 39.Each side of a regular octagon is 17 cm. What is its perimeter (in cm)?
  40. 40.The perimeter of a rectangle is 76 cm and its length is 29 cm. What is its width (in cm)?

Answer key

  1. 324
  2. 66
  3. 2
  4. 800
  5. 4
  6. 33
  7. 9
  8. 9
  9. 62
  10. 65
  11. 60
  12. 64
  13. 34
  14. 78
  15. 6
  16. 480
  17. 320
  18. 164
  19. 320
  20. 25
  21. 34
  22. 64
  23. 144
  24. 160
  25. 9
  26. 1170
  27. 39
  28. 116
  29. 59
  30. 44
  31. 4800
  32. 400
  33. 21
  34. 75
  35. 630
  36. 121
  37. 3120
  38. 226
  39. 136
  40. 9

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