Question

The adjoining diagram shows two cross paths drawn inside a rectangular field 45 m long and 38 m wide, one parallel to length and the other parallel to breadth. The width of each path is 4 m. Find the cost of gravelling the paths at * 5.60 per m2​

Answer 1

Given: Two cross paths drawn inside a rectangular field 45 m long and 38 m wide.

To find: The cost of graveling the paths?

Solution:

• Now we have given that two cross paths drawn inside a rectangular field 45 m long and 38 m wide where one is parallel to length and the other is parallel to breadth.

• The width of each path is 4 m.

• So, area of path will be:

          area of path - area of rectangle formed by overlapping of two paths

          (45 x 4) + (38 x 4) - (4 x 4) m^2

          180 + 152 - 16 m^2

          332 - 16 m^2

          316 m^2

• Now the cost of graveling the paths will be:

          316 m^2 x 5.60

          Rs 1769.6

Answer:

              The cost of graveling the paths is Rs 1769.6