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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 649 · 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 18 cm long and 9 cm wide, a rectangle 9 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  2. 2.From a rectangle 14 cm long and 5 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)?
  3. 3.A square has a perimeter of 24 cm. What is its area (in square cm)?
  4. 4.From a rectangle 15 cm long and 9 cm wide, a rectangle 2 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  5. 5.The perimeter of a rectangle is 28 cm and its length is 9 cm. What is its width (in cm)?
  6. 6.The perimeter of a rectangle is 24 cm and its length is 10 cm. What is its width (in cm)?
  7. 7.Each side of a regular hexagon is 24 cm. What is its perimeter (in cm)?
  8. 8.A wall is 4 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  9. 9.The perimeter of a rectangle is 26 cm and its length is 10 cm. What is its width (in cm)?
  10. 10.Each side of a regular pentagon is 11 cm. What is its perimeter (in cm)?
  11. 11.From a rectangle 7 cm long and 15 cm wide, a rectangle 5 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  12. 12.From a rectangle 13 cm long and 15 cm wide, a rectangle 7 cm by 13 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  13. 13.A rectangular field is 35 m long and 15 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.A rectangular field is 50 m long and 25 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.From a rectangle 7 cm long and 9 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)?
  16. 16.The perimeter of a rectangle is 42 cm and its length is 16 cm. What is its width (in cm)?
  17. 17.A square has a perimeter of 28 cm. What is its area (in square cm)?
  18. 18.Each side of a regular hexagon is 7 cm. What is its perimeter (in cm)?
  19. 19.Each side of an equilateral triangle is 3 cm. What is its perimeter (in cm)?
  20. 20.A wall is 10 m long and 4 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  21. 21.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 ₹)?
  22. 22.A square has a perimeter of 72 cm. What is its area (in square cm)?
  23. 23.Each side of a square is 21 cm. What is its perimeter (in cm)?
  24. 24.A square has a perimeter of 68 cm. What is its area (in square cm)?
  25. 25.Each side of a regular pentagon is 19 cm. What is its perimeter (in cm)?
  26. 26.The perimeter of a rectangle is 82 cm and its length is 27 cm. What is its width (in cm)?
  27. 27.From a rectangle 18 cm long and 6 cm wide, a rectangle 15 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  28. 28.A rectangular field is 55 m long and 20 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.A wall is 9 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  31. 31.A wall is 6 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  32. 32.A wall is 3 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  33. 33.The perimeter of a rectangle is 78 cm and its length is 30 cm. What is its width (in cm)?
  34. 34.A square has a perimeter of 80 cm. What is its area (in square cm)?
  35. 35.Each side of a square is 5 cm. What is its perimeter (in cm)?
  36. 36.Each side of a regular hexagon is 12 cm. What is its perimeter (in cm)?
  37. 37.From a rectangle 12 cm long and 10 cm wide, a rectangle 6 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  38. 38.A rectangular field is 60 m long and 40 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.From a rectangle 11 cm long and 6 cm wide, a rectangle 9 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  40. 40.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 ₹)?

Answer key

  1. 99
  2. 55
  3. 36
  4. 121
  5. 5
  6. 2
  7. 144
  8. 640
  9. 3
  10. 55
  11. 80
  12. 104
  13. 1200
  14. 2850
  15. 55
  16. 5
  17. 49
  18. 42
  19. 9
  20. 1400
  21. 1920
  22. 324
  23. 84
  24. 289
  25. 95
  26. 14
  27. 93
  28. 2400
  29. 960
  30. 1080
  31. 360
  32. 540
  33. 9
  34. 400
  35. 20
  36. 72
  37. 114
  38. 4000
  39. 39
  40. 560

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