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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 308 · 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 15 cm long and 13 cm wide, a rectangle 5 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  2. 2.From a rectangle 13 cm long and 5 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)?
  3. 3.Each side of a regular pentagon is 12 cm. What is its perimeter (in cm)?
  4. 4.A wall is 11 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  5. 5.A rectangular field is 100 m long and 40 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  6. 6.Each side of a square is 5 cm. What is its perimeter (in cm)?
  7. 7.From a rectangle 12 cm long and 13 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)?
  8. 8.Each side of an equilateral triangle is 10 cm. What is its perimeter (in cm)?
  9. 9.The perimeter of a rectangle is 26 cm and its length is 9 cm. What is its width (in cm)?
  10. 10.From a rectangle 16 cm long and 7 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)?
  11. 11.The perimeter of a rectangle is 26 cm and its length is 7 cm. What is its width (in cm)?
  12. 12.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.Each side of an equilateral triangle is 2 cm. What is its perimeter (in cm)?
  14. 14.A wall is 4 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.A rectangular field is 70 m long and 60 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  16. 16.A square has a perimeter of 32 cm. What is its area (in square cm)?
  17. 17.A wall is 4 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  18. 18.Each side of an equilateral triangle is 18 cm. What is its perimeter (in cm)?
  19. 19.From a rectangle 14 cm long and 6 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)?
  20. 20.The perimeter of a rectangle is 60 cm and its length is 18 cm. What is its width (in cm)?
  21. 21.From a rectangle 20 cm long and 10 cm wide, a rectangle 10 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  22. 22.A wall is 4 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  23. 23.From a rectangle 18 cm long and 9 cm wide, a rectangle 12 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  24. 24.A wall is 5 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  25. 25.From a rectangle 14 cm long and 15 cm wide, a rectangle 9 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  26. 26.The perimeter of a rectangle is 56 cm and its length is 16 cm. What is its width (in cm)?
  27. 27.A square has a perimeter of 64 cm. What is its area (in square cm)?
  28. 28.A rectangular field is 85 m long and 50 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.Each side of a regular pentagon is 10 cm. What is its perimeter (in cm)?
  30. 30.A wall is 10 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  31. 31.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.A wall is 3 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  33. 33.A square has a perimeter of 80 cm. What is its area (in square cm)?
  34. 34.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  35. 35.A wall is 7 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  36. 36.From a rectangle 17 cm long and 15 cm wide, a rectangle 14 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  37. 37.The perimeter of a rectangle is 72 cm and its length is 29 cm. What is its width (in cm)?
  38. 38.A square has a perimeter of 68 cm. What is its area (in square cm)?
  39. 39.A wall is 5 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  40. 40.The perimeter of a rectangle is 58 cm and its length is 15 cm. What is its width (in cm)?

Answer key

  1. 150
  2. 53
  3. 60
  4. 660
  5. 2520
  6. 20
  7. 152
  8. 30
  9. 4
  10. 94
  11. 6
  12. 2880
  13. 6
  14. 320
  15. 5720
  16. 64
  17. 200
  18. 54
  19. 72
  20. 12
  21. 180
  22. 80
  23. 114
  24. 450
  25. 156
  26. 12
  27. 256
  28. 3240
  29. 50
  30. 1350
  31. 1020
  32. 450
  33. 400
  34. 1170
  35. 350
  36. 185
  37. 7
  38. 289
  39. 500
  40. 14

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