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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 495 · 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 20 cm long and 15 cm wide, a rectangle 13 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  2. 2.Each side of a regular octagon is 24 cm. What is its perimeter (in cm)?
  3. 3.The perimeter of a rectangle is 24 cm and its length is 10 cm. What is its width (in cm)?
  4. 4.Each side of a regular hexagon is 9 cm. What is its perimeter (in cm)?
  5. 5.Each side of a square is 12 cm. What is its perimeter (in cm)?
  6. 6.From a rectangle 16 cm long and 11 cm wide, a rectangle 13 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  7. 7.A square has a perimeter of 12 cm. What is its area (in square cm)?
  8. 8.Each side of a regular pentagon is 7 cm. What is its perimeter (in cm)?
  9. 9.A square has a perimeter of 16 cm. What is its area (in square cm)?
  10. 10.Each side of a regular hexagon is 8 cm. What is its perimeter (in cm)?
  11. 11.A wall is 12 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  12. 12.Each side of a square is 20 cm. What is its perimeter (in cm)?
  13. 13.From a rectangle 11 cm long and 5 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)?
  14. 14.A rectangular field is 100 m long and 25 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.From a rectangle 8 cm long and 8 cm wide, a rectangle 1 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  16. 16.A wall is 11 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.From a rectangle 18 cm long and 12 cm wide, a rectangle 5 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  18. 18.A square has a perimeter of 80 cm. What is its area (in square cm)?
  19. 19.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.A rectangular field is 65 m long and 30 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  21. 21.A rectangular field is 40 m long and 30 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  22. 22.A square has a perimeter of 72 cm. What is its area (in square cm)?
  23. 23.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.A wall is 4 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  25. 25.From a rectangle 8 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)?
  26. 26.Each side of a regular hexagon is 21 cm. What is its perimeter (in cm)?
  27. 27.From a rectangle 12 cm long and 9 cm wide, a rectangle 5 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  28. 28.A square has a perimeter of 24 cm. What is its area (in square cm)?
  29. 29.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
  30. 30.The perimeter of a rectangle is 80 cm and its length is 27 cm. What is its width (in cm)?
  31. 31.A rectangular field is 95 m long and 50 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.A wall is 5 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  33. 33.From a rectangle 7 cm long and 5 cm wide, a rectangle 1 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  34. 34.A rectangular field is 30 m long and 20 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  35. 35.From a rectangle 7 cm long and 8 cm wide, a rectangle 3 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  36. 36.A rectangular field is 70 m long and 55 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  37. 37.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 ₹)?
  38. 38.Each side of an equilateral triangle is 23 cm. What is its perimeter (in cm)?
  39. 39.Each side of a regular octagon is 9 cm. What is its perimeter (in cm)?
  40. 40.From a rectangle 7 cm long and 12 cm wide, a rectangle 3 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?

Answer key

  1. 157
  2. 192
  3. 2
  4. 54
  5. 48
  6. 59
  7. 9
  8. 35
  9. 16
  10. 48
  11. 1080
  12. 80
  13. 51
  14. 5250
  15. 61
  16. 1650
  17. 196
  18. 400
  19. 2640
  20. 3230
  21. 2940
  22. 324
  23. 1920
  24. 360
  25. 56
  26. 126
  27. 88
  28. 36
  29. 2
  30. 13
  31. 2610
  32. 900
  33. 32
  34. 1500
  35. 38
  36. 2500
  37. 1000
  38. 69
  39. 72
  40. 78

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