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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 319 · 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 50 cm and its length is 15 cm. What is its width (in cm)?
  2. 2.A square has a perimeter of 24 cm. What is its area (in square cm)?
  3. 3.A square has a perimeter of 52 cm. What is its area (in square cm)?
  4. 4.A square has a perimeter of 68 cm. What is its area (in square cm)?
  5. 5.The perimeter of a rectangle is 44 cm and its length is 15 cm. What is its width (in cm)?
  6. 6.A wall is 3 m long and 3 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 54 cm and its length is 23 cm. What is its width (in cm)?
  8. 8.From a rectangle 11 cm long and 14 cm wide, a rectangle 5 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  9. 9.A wall is 3 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  10. 10.From a rectangle 18 cm long and 6 cm wide, a rectangle 11 cm by 2 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 32 cm. What is its area (in square cm)?
  12. 12.The perimeter of a rectangle is 28 cm and its length is 10 cm. What is its width (in cm)?
  13. 13.From a rectangle 11 cm long and 6 cm wide, a rectangle 2 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  14. 14.A rectangular field is 65 m long and 60 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.A wall is 4 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  16. 16.The perimeter of a rectangle is 78 cm and its length is 22 cm. What is its width (in cm)?
  17. 17.A wall is 3 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  18. 18.A wall is 9 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  19. 19.From a rectangle 15 cm long and 15 cm wide, a rectangle 4 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  20. 20.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 ₹)?
  21. 21.Each side of a square is 25 cm. What is its perimeter (in cm)?
  22. 22.From a rectangle 8 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)?
  23. 23.A wall is 9 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  24. 24.From a rectangle 19 cm long and 11 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)?
  25. 25.A rectangular field is 90 m long and 60 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.The perimeter of a rectangle is 54 cm and its length is 24 cm. What is its width (in cm)?
  27. 27.The perimeter of a rectangle is 58 cm and its length is 24 cm. What is its width (in cm)?
  28. 28.The perimeter of a rectangle is 94 cm and its length is 26 cm. What is its width (in cm)?
  29. 29.A rectangular field is 65 m long and 40 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.The perimeter of a rectangle is 16 cm and its length is 6 cm. What is its width (in cm)?
  31. 31.Each side of a square is 13 cm. What is its perimeter (in cm)?
  32. 32.A wall is 9 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  33. 33.Each side of an equilateral triangle is 24 cm. What is its perimeter (in cm)?
  34. 34.A wall is 7 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  35. 35.Each side of a regular pentagon is 18 cm. What is its perimeter (in cm)?
  36. 36.From a rectangle 10 cm long and 14 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)?
  37. 37.The perimeter of a rectangle is 76 cm and its length is 25 cm. What is its width (in cm)?
  38. 38.Each side of a regular octagon is 14 cm. What is its perimeter (in cm)?
  39. 39.A rectangular field is 40 m long and 20 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.Each side of a square is 24 cm. What is its perimeter (in cm)?

Answer key

  1. 10
  2. 36
  3. 169
  4. 289
  5. 7
  6. 315
  7. 4
  8. 119
  9. 300
  10. 86
  11. 64
  12. 4
  13. 64
  14. 2250
  15. 400
  16. 17
  17. 270
  18. 1620
  19. 205
  20. 450
  21. 100
  22. 36
  23. 450
  24. 189
  25. 6300
  26. 3
  27. 5
  28. 21
  29. 4410
  30. 2
  31. 52
  32. 270
  33. 72
  34. 700
  35. 90
  36. 137
  37. 13
  38. 112
  39. 1200
  40. 96

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