Question

A rectangular plot of land is 300 m long and 250 m broad. It has two roads, each 3 m wide running midway within it, one parallel to the length and the

other parallel to the breadth. (a) Find the area of the roads. (b) Also calculate the cost of constructing the road at Rs 50 per square metre.​

Answer 1

Step-by-step explanation:

Given that the paths are 3m on each side and goes across to the center of the opposite side. So, basically we have on one side a rectangle of length 300m and width 3m whose area is A1=300×3=900m2

and on another side a rectangle of length 50m and width 3m whose area is A2=50×3=150m2

One important note, the area of the central part has been included twice, so it has to be subtracted from the total area covered by the path.

∴ Total area =900+150−(3×3)

                     =1050−9

                     =1041m2

The cost of paving the road at Rs.50 per square meter is =Rs.1041×50

                                                                                                 =Rs.52050

Hence, the answer is Rs.52050.