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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 192 · 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.Each side of an equilateral triangle is 19 cm. What is its perimeter (in cm)?
  2. 2.Each side of a regular octagon is 22 cm. What is its perimeter (in cm)?
  3. 3.A rectangular field is 45 m long and 40 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  4. 4.The perimeter of a rectangle is 16 cm and its length is 6 cm. What is its width (in cm)?
  5. 5.Each side of a square is 13 cm. What is its perimeter (in cm)?
  6. 6.From a rectangle 6 cm long and 6 cm wide, a rectangle 1 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  7. 7.Each side of a square is 16 cm. What is its perimeter (in cm)?
  8. 8.A square has a perimeter of 24 cm. What is its area (in square cm)?
  9. 9.A square has a perimeter of 80 cm. What is its area (in square cm)?
  10. 10.A square has a perimeter of 68 cm. What is its area (in square cm)?
  11. 11.A square has a perimeter of 52 cm. What is its area (in square cm)?
  12. 12.A wall is 3 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  13. 13.Each side of a regular hexagon is 17 cm. What is its perimeter (in cm)?
  14. 14.A wall is 7 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  16. 16.A square has a perimeter of 16 cm. What is its area (in square cm)?
  17. 17.From a rectangle 17 cm long and 10 cm wide, a rectangle 2 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  18. 18.A square has a perimeter of 40 cm. What is its area (in square cm)?
  19. 19.A rectangular field is 85 m long and 50 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.From a rectangle 17 cm long and 12 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)?
  21. 21.A wall is 6 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.A wall is 11 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  23. 23.A wall is 8 m long and 3 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  24. 24.Each side of a regular octagon is 9 cm. What is its perimeter (in cm)?
  25. 25.From a rectangle 16 cm long and 13 cm wide, a rectangle 11 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  26. 26.Each side of a regular pentagon is 2 cm. What is its perimeter (in cm)?
  27. 27.A rectangular field is 50 m long and 45 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  28. 28.A wall is 10 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  29. 29.A rectangular field is 80 m long and 25 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.Each side of a square is 5 cm. What is its perimeter (in cm)?
  31. 31.From a rectangle 18 cm long and 11 cm wide, a rectangle 12 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  32. 32.The perimeter of a rectangle is 68 cm and its length is 19 cm. What is its width (in cm)?
  33. 33.A rectangular field is 85 m long and 45 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  34. 34.A rectangular field is 55 m long and 30 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  35. 35.A rectangular field is 45 m long and 15 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  36. 36.The perimeter of a rectangle is 58 cm and its length is 26 cm. What is its width (in cm)?
  37. 37.The perimeter of a rectangle is 24 cm and its length is 8 cm. What is its width (in cm)?
  38. 38.Each side of a regular octagon is 8 cm. What is its perimeter (in cm)?
  39. 39.From a rectangle 15 cm long and 14 cm wide, a rectangle 10 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  40. 40.The perimeter of a rectangle is 40 cm and its length is 13 cm. What is its width (in cm)?

Answer key

  1. 57
  2. 176
  3. 3400
  4. 2
  5. 52
  6. 35
  7. 64
  8. 36
  9. 400
  10. 289
  11. 169
  12. 540
  13. 102
  14. 875
  15. 1260
  16. 16
  17. 156
  18. 100
  19. 2430
  20. 202
  21. 600
  22. 1650
  23. 600
  24. 72
  25. 153
  26. 10
  27. 3800
  28. 400
  29. 1890
  30. 20
  31. 174
  32. 15
  33. 2340
  34. 1530
  35. 720
  36. 3
  37. 4
  38. 64
  39. 160
  40. 7

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