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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 712 · 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.A square has a perimeter of 56 cm. What is its area (in square cm)?
  2. 2.Each side of an equilateral triangle is 17 cm. What is its perimeter (in cm)?
  3. 3.A wall is 7 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  4. 4.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
  5. 5.From a rectangle 6 cm long and 9 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)?
  6. 6.A square has a perimeter of 28 cm. What is its area (in square cm)?
  7. 7.The perimeter of a rectangle is 16 cm and its length is 5 cm. What is its width (in cm)?
  8. 8.A wall is 11 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  9. 9.Each side of a regular octagon is 17 cm. What is its perimeter (in cm)?
  10. 10.Each side of a regular octagon is 16 cm. What is its perimeter (in cm)?
  11. 11.Each side of a square is 9 cm. What is its perimeter (in cm)?
  12. 12.Each side of a regular hexagon is 20 cm. What is its perimeter (in cm)?
  13. 13.A wall is 6 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  14. 14.From a rectangle 8 cm long and 6 cm wide, a rectangle 4 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  15. 15.From a rectangle 17 cm long and 6 cm wide, a rectangle 11 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  16. 16.A square has a perimeter of 12 cm. What is its area (in square cm)?
  17. 17.A rectangular field is 100 m long and 15 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  18. 18.From a rectangle 20 cm long and 13 cm wide, a rectangle 16 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  19. 19.Each side of an equilateral triangle is 14 cm. What is its perimeter (in cm)?
  20. 20.A wall is 11 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  21. 21.A square has a perimeter of 72 cm. What is its area (in square cm)?
  22. 22.The perimeter of a rectangle is 24 cm and its length is 9 cm. What is its width (in cm)?
  23. 23.A rectangular field is 65 m long and 30 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.The perimeter of a rectangle is 28 cm and its length is 11 cm. What is its width (in cm)?
  25. 25.The perimeter of a rectangle is 70 cm and its length is 28 cm. What is its width (in cm)?
  26. 26.A square has a perimeter of 8 cm. What is its area (in square cm)?
  27. 27.The perimeter of a rectangle is 84 cm and its length is 28 cm. What is its width (in cm)?
  28. 28.Each side of a regular octagon is 9 cm. What is its perimeter (in cm)?
  29. 29.A square has a perimeter of 52 cm. What is its area (in square cm)?
  30. 30.The perimeter of a rectangle is 26 cm and its length is 8 cm. What is its width (in cm)?
  31. 31.From a rectangle 6 cm long and 15 cm wide, a rectangle 2 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  32. 32.From a rectangle 15 cm long and 11 cm wide, a rectangle 12 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  33. 33.Each side of a square is 16 cm. What is its perimeter (in cm)?
  34. 34.Each side of a regular hexagon is 6 cm. What is its perimeter (in cm)?
  35. 35.A wall is 3 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  36. 36.A wall is 12 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  37. 37.The perimeter of a rectangle is 26 cm and its length is 7 cm. What is its width (in cm)?
  38. 38.A square has a perimeter of 16 cm. What is its area (in square cm)?
  39. 39.A wall is 6 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  40. 40.From a rectangle 19 cm long and 6 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)?

Answer key

  1. 196
  2. 51
  3. 280
  4. 2
  5. 51
  6. 49
  7. 3
  8. 1100
  9. 136
  10. 128
  11. 36
  12. 120
  13. 1200
  14. 40
  15. 91
  16. 9
  17. 3450
  18. 212
  19. 42
  20. 495
  21. 324
  22. 3
  23. 1140
  24. 3
  25. 7
  26. 4
  27. 14
  28. 72
  29. 169
  30. 5
  31. 82
  32. 129
  33. 64
  34. 36
  35. 90
  36. 900
  37. 6
  38. 16
  39. 720
  40. 66

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