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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 302 · 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 98 cm and its length is 25 cm. What is its width (in cm)?
  2. 2.A wall is 7 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  3. 3.From a rectangle 17 cm long and 6 cm wide, a rectangle 1 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  4. 4.A square has a perimeter of 32 cm. What is its area (in square cm)?
  5. 5.A square has a perimeter of 12 cm. What is its area (in square cm)?
  6. 6.The perimeter of a rectangle is 20 cm and its length is 7 cm. What is its width (in cm)?
  7. 7.A square has a perimeter of 28 cm. What is its area (in square cm)?
  8. 8.A square has a perimeter of 80 cm. What is its area (in square cm)?
  9. 9.The perimeter of a rectangle is 62 cm and its length is 16 cm. What is its width (in cm)?
  10. 10.From a rectangle 19 cm long and 15 cm wide, a rectangle 3 cm by 13 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  11. 11.The perimeter of a rectangle is 20 cm and its length is 6 cm. What is its width (in cm)?
  12. 12.A rectangular field is 50 m long and 15 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.A wall is 7 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  14. 14.A wall is 8 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.Each side of a regular pentagon is 20 cm. What is its perimeter (in cm)?
  16. 16.From a rectangle 12 cm long and 15 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)?
  17. 17.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 ₹)?
  18. 18.The perimeter of a rectangle is 62 cm and its length is 26 cm. What is its width (in cm)?
  19. 19.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 ₹)?
  20. 20.A wall is 5 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  21. 21.From a rectangle 17 cm long and 9 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)?
  22. 22.The perimeter of a rectangle is 74 cm and its length is 29 cm. What is its width (in cm)?
  23. 23.Each side of an equilateral triangle is 6 cm. What is its perimeter (in cm)?
  24. 24.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  25. 25.A rectangular field is 70 m long and 25 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.A rectangular field is 75 m long and 50 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  27. 27.The perimeter of a rectangle is 22 cm and its length is 9 cm. What is its width (in cm)?
  28. 28.Each side of an equilateral triangle is 8 cm. What is its perimeter (in cm)?
  29. 29.The perimeter of a rectangle is 70 cm and its length is 29 cm. What is its width (in cm)?
  30. 30.A wall is 9 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  31. 31.Each side of a regular pentagon is 23 cm. What is its perimeter (in cm)?
  32. 32.Each side of a regular pentagon is 3 cm. What is its perimeter (in cm)?
  33. 33.From a rectangle 17 cm long and 13 cm wide, a rectangle 7 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  34. 34.The perimeter of a rectangle is 22 cm and its length is 6 cm. What is its width (in cm)?
  35. 35.A wall is 10 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  36. 36.A square has a perimeter of 36 cm. What is its area (in square cm)?
  37. 37.A wall is 11 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  38. 38.From a rectangle 16 cm long and 14 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)?
  39. 39.Each side of a square is 8 cm. What is its perimeter (in cm)?
  40. 40.From a rectangle 19 cm long and 8 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)?

Answer key

  1. 24
  2. 630
  3. 98
  4. 64
  5. 9
  6. 3
  7. 49
  8. 400
  9. 15
  10. 246
  11. 4
  12. 2340
  13. 1260
  14. 840
  15. 100
  16. 153
  17. 1200
  18. 5
  19. 525
  20. 300
  21. 141
  22. 8
  23. 18
  24. 2640
  25. 1330
  26. 3500
  27. 2
  28. 24
  29. 6
  30. 945
  31. 115
  32. 15
  33. 179
  34. 5
  35. 3000
  36. 81
  37. 440
  38. 217
  39. 32
  40. 146

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