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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 36 · 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 18 cm and its length is 6 cm. What is its width (in cm)?
  2. 2.From a rectangle 20 cm long and 11 cm wide, a rectangle 9 cm by 8 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 46 cm and its length is 14 cm. What is its width (in cm)?
  4. 4.The perimeter of a rectangle is 88 cm and its length is 23 cm. What is its width (in cm)?
  5. 5.A square has a perimeter of 24 cm. What is its area (in square cm)?
  6. 6.A wall is 3 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.The perimeter of a rectangle is 38 cm and its length is 12 cm. What is its width (in cm)?
  8. 8.Each side of a regular hexagon is 23 cm. What is its perimeter (in cm)?
  9. 9.The perimeter of a rectangle is 90 cm and its length is 27 cm. What is its width (in cm)?
  10. 10.From a rectangle 16 cm long and 11 cm wide, a rectangle 4 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  11. 11.A square has a perimeter of 40 cm. What is its area (in square cm)?
  12. 12.Each side of an equilateral triangle is 21 cm. What is its perimeter (in cm)?
  13. 13.Each side of a regular pentagon is 19 cm. What is its perimeter (in cm)?
  14. 14.From a rectangle 8 cm long and 11 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)?
  15. 15.A square has a perimeter of 64 cm. What is its area (in square cm)?
  16. 16.From a rectangle 16 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)?
  17. 17.Each side of an equilateral triangle is 16 cm. What is its perimeter (in cm)?
  18. 18.The perimeter of a rectangle is 78 cm and its length is 30 cm. What is its width (in cm)?
  19. 19.From a rectangle 9 cm long and 12 cm wide, a rectangle 1 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  20. 20.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  21. 21.A square has a perimeter of 12 cm. What is its area (in square cm)?
  22. 22.A square has a perimeter of 56 cm. What is its area (in square cm)?
  23. 23.The perimeter of a rectangle is 28 cm and its length is 10 cm. What is its width (in cm)?
  24. 24.From a rectangle 9 cm long and 5 cm wide, a rectangle 5 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  25. 25.A wall is 10 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  26. 26.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  27. 27.From a rectangle 9 cm long and 14 cm wide, a rectangle 5 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  28. 28.A rectangular field is 45 m long and 15 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.A rectangular field is 50 m long and 20 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.The perimeter of a rectangle is 52 cm and its length is 23 cm. What is its width (in cm)?
  31. 31.From a rectangle 7 cm long and 15 cm wide, a rectangle 5 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  32. 32.A square has a perimeter of 52 cm. What is its area (in square cm)?
  33. 33.A square has a perimeter of 32 cm. What is its area (in square cm)?
  34. 34.A rectangular field is 50 m long and 20 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  35. 35.A square has a perimeter of 16 cm. What is its area (in square cm)?
  36. 36.Each side of an equilateral triangle is 5 cm. What is its perimeter (in cm)?
  37. 37.From a rectangle 15 cm long and 15 cm wide, a rectangle 3 cm by 12 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  38. 38.A wall is 10 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  39. 39.A square has a perimeter of 20 cm. What is its area (in square cm)?
  40. 40.From a rectangle 9 cm long and 15 cm wide, a rectangle 6 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?

Answer key

  1. 3
  2. 148
  3. 9
  4. 21
  5. 36
  6. 210
  7. 7
  8. 138
  9. 18
  10. 164
  11. 100
  12. 63
  13. 95
  14. 85
  15. 256
  16. 94
  17. 48
  18. 9
  19. 101
  20. 1900
  21. 9
  22. 196
  23. 4
  24. 35
  25. 800
  26. 490
  27. 71
  28. 1440
  29. 1960
  30. 3
  31. 55
  32. 169
  33. 64
  34. 3360
  35. 16
  36. 15
  37. 189
  38. 450
  39. 25
  40. 117

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