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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 456 · 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.The perimeter of a rectangle is 44 cm and its length is 20 cm. What is its width (in cm)?
  2. 2.A wall is 9 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  3. 3.From a rectangle 17 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)?
  4. 4.From a rectangle 13 cm long and 14 cm wide, a rectangle 3 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  5. 5.From a rectangle 10 cm long and 9 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)?
  6. 6.From a rectangle 10 cm long and 5 cm wide, a rectangle 7 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  7. 7.A rectangular field is 75 m long and 20 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  8. 8.Each side of a regular pentagon is 16 cm. What is its perimeter (in cm)?
  9. 9.From a rectangle 16 cm long and 10 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)?
  10. 10.From a rectangle 9 cm long and 9 cm wide, a rectangle 3 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  11. 11.Each side of an equilateral triangle is 7 cm. What is its perimeter (in cm)?
  12. 12.Each side of an equilateral triangle is 9 cm. What is its perimeter (in cm)?
  13. 13.A square has a perimeter of 76 cm. What is its area (in square cm)?
  14. 14.A wall is 12 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.From a rectangle 6 cm long and 12 cm wide, a rectangle 1 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  16. 16.A rectangular field is 35 m long and 20 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  17. 17.From a rectangle 19 cm long and 11 cm wide, a rectangle 7 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  18. 18.From a rectangle 13 cm long and 5 cm wide, a rectangle 2 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  19. 19.From a rectangle 15 cm long and 11 cm wide, a rectangle 13 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  20. 20.A square has a perimeter of 64 cm. What is its area (in square cm)?
  21. 21.From a rectangle 11 cm long and 12 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)?
  22. 22.A wall is 12 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  23. 23.From a rectangle 9 cm long and 6 cm wide, a rectangle 2 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  24. 24.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  25. 25.Each side of a regular hexagon is 6 cm. What is its perimeter (in cm)?
  26. 26.A square has a perimeter of 48 cm. What is its area (in square cm)?
  27. 27.From a rectangle 8 cm long and 15 cm wide, a rectangle 3 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 80 cm. What is its area (in square cm)?
  29. 29.The perimeter of a rectangle is 52 cm and its length is 19 cm. What is its width (in cm)?
  30. 30.A square has a perimeter of 8 cm. What is its area (in square cm)?
  31. 31.From a rectangle 10 cm long and 10 cm wide, a rectangle 7 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  32. 32.A rectangular field is 100 m long and 70 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.A rectangular field is 45 m long and 35 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  34. 34.A wall is 3 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  35. 35.The perimeter of a rectangle is 20 cm and its length is 6 cm. What is its width (in cm)?
  36. 36.Each side of a regular hexagon is 15 cm. What is its perimeter (in cm)?
  37. 37.From a rectangle 15 cm long and 11 cm wide, a rectangle 12 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  38. 38.Each side of a regular hexagon is 9 cm. What is its perimeter (in cm)?
  39. 39.From a rectangle 9 cm long and 6 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)?
  40. 40.A rectangular field is 75 m long and 55 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 2
  2. 540
  3. 84
  4. 152
  5. 62
  6. 29
  7. 1140
  8. 80
  9. 136
  10. 69
  11. 21
  12. 27
  13. 361
  14. 1200
  15. 63
  16. 1540
  17. 174
  18. 61
  19. 152
  20. 256
  21. 114
  22. 3000
  23. 50
  24. 560
  25. 36
  26. 144
  27. 108
  28. 400
  29. 7
  30. 4
  31. 93
  32. 5100
  33. 3360
  34. 810
  35. 4
  36. 90
  37. 153
  38. 54
  39. 53
  40. 4420

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