A rectangular lawn 70 m by 50 m has two roads, each 5 m wide, running through its middle, one parallel to its length and other parallel to its breadth. Find the cost of constructing the roads at Rs 120 per `m^2`

Explanation

Area of the road parallel to the length of the rectangular lawn ` = 70**5 = 350m^2`

Area of the road parallel to the length of the rectangular lawn ` = 50**5 = 250m^2`

There is a common area between these two roads that is a square of `5m` side.

`:.` Area of common area between two roads `= 5**5=25m^2`

`:.` Area of both roads ` = 350+250-25 = 575m^2`

`:.` Cost of constructing roads at Rs`120` per `m^2 = 575**120 = 69000` Rs.