A rectangular plo

Given:Length of plot = 125 m and Breadth of plot = 78 m. It has a gravel path 3 m wide all around on the outside.

To find:  The area of the path and the cost of gravelling it at RS. 75 per m².

Solution:

Since gravel path is 3 m wide all around,

∴ Length of plot with path = 125 + (3 + 3)= 131 m

  Breadth of plot with path = 78 + (3 + 3)= 84 m

Now,

Area of the rectangular plot without path= L × B

⇒ Area of the rectangular plot without path = 125 × 78 = 9750 m²

Area of rectangular plot with path = L × B

⇒ Area of the rectangular plot with path = 131 × 84 = 11004 m²

Area of the path =  Area of the rectangular plot with path -  Area of the rectangular plot without path

                        = 11004 - 9750
                     
                        = 1254 m²
Cost of gravelling 1 m² path = Rs 75

Cost of gravelling 1254 m² path = Rs 75 × 1254
                                               = Rs 94050