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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 145 · 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 11 cm long and 14 cm wide, a rectangle 6 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  2. 2.From a rectangle 6 cm long and 15 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)?
  3. 3.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 ₹)?
  4. 4.A square has a perimeter of 56 cm. What is its area (in square cm)?
  5. 5.A wall is 3 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  6. 6.A rectangular field is 45 m long and 40 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  7. 7.A rectangular field is 70 m long and 40 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  8. 8.The perimeter of a rectangle is 66 cm and its length is 24 cm. What is its width (in cm)?
  9. 9.A wall is 3 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  10. 10.A square has a perimeter of 80 cm. What is its area (in square cm)?
  11. 11.A wall is 11 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  12. 12.A wall is 8 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  13. 13.The perimeter of a rectangle is 76 cm and its length is 29 cm. What is its width (in cm)?
  14. 14.Each side of an equilateral triangle is 7 cm. What is its perimeter (in cm)?
  15. 15.A square has a perimeter of 76 cm. What is its area (in square cm)?
  16. 16.A square has a perimeter of 20 cm. What is its area (in square cm)?
  17. 17.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 ₹)?
  18. 18.From a rectangle 15 cm long and 12 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)?
  19. 19.Each side of an equilateral triangle is 24 cm. What is its perimeter (in cm)?
  20. 20.From a rectangle 17 cm long and 6 cm wide, a rectangle 14 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  21. 21.The perimeter of a rectangle is 54 cm and its length is 19 cm. What is its width (in cm)?
  22. 22.A wall is 4 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  23. 23.A wall is 4 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  24. 24.Each side of a regular pentagon is 9 cm. What is its perimeter (in cm)?
  25. 25.Each side of an equilateral triangle is 11 cm. What is its perimeter (in cm)?
  26. 26.A rectangular field is 40 m long and 15 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  27. 27.A square has a perimeter of 16 cm. What is its area (in square cm)?
  28. 28.A square has a perimeter of 12 cm. What is its area (in square cm)?
  29. 29.Each side of a regular hexagon is 9 cm. What is its perimeter (in cm)?
  30. 30.The perimeter of a rectangle is 32 cm and its length is 11 cm. What is its width (in cm)?
  31. 31.The perimeter of a rectangle is 62 cm and its length is 22 cm. What is its width (in cm)?
  32. 32.From a rectangle 7 cm long and 8 cm wide, a rectangle 4 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  33. 33.A rectangular field is 95 m long and 15 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  34. 34.A square has a perimeter of 52 cm. What is its area (in square cm)?
  35. 35.A square has a perimeter of 8 cm. What is its area (in square cm)?
  36. 36.From a rectangle 15 cm long and 14 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)?
  37. 37.A rectangular field is 100 m long and 70 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  38. 38.The perimeter of a rectangle is 42 cm and its length is 13 cm. What is its width (in cm)?
  39. 39.Each side of an equilateral triangle is 12 cm. What is its perimeter (in cm)?
  40. 40.Each side of a square is 3 cm. What is its perimeter (in cm)?

Answer key

  1. 124
  2. 87
  3. 560
  4. 196
  5. 180
  6. 3910
  7. 4180
  8. 9
  9. 525
  10. 400
  11. 550
  12. 480
  13. 9
  14. 21
  15. 361
  16. 25
  17. 600
  18. 172
  19. 72
  20. 46
  21. 8
  22. 360
  23. 800
  24. 45
  25. 33
  26. 2640
  27. 16
  28. 9
  29. 54
  30. 5
  31. 9
  32. 32
  33. 4400
  34. 169
  35. 4
  36. 146
  37. 4760
  38. 8
  39. 36
  40. 12

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