It is decided to construct a 2 metre broad pathway around a rectangular plot on the inside. If the area of the plots is 96 sq.m. and the rate of construction is Rs. 50 per square metre., what will be the total cost of the construction? Choose one.
A) Rs.3500 B) Rs. 4200 C) Insufficient Data D) Rs. 4400 E) None of these
Explanation : Let length and width of the rectangular plot be l and b respectively   Total area of the rectangular plot = 96 sq.m.   =&gt; lb = 96   Width of the pathway = 2 m   Length of the remaining area in the plot = (l - 4)   breadth of the remaining area in the plot = (b - 4)   Area of the remaining area in the plot = (l - 4)(b - 4)   Area of the pathway   = Total area of the rectangular plot - remaining area in the plot   = 96 - [(l - 4)(b - 4)] = 96 - [lb - 4l - 4b + 16] = 96 - [96 - 4l - 4b + 16] = 96 - 96 + 4l + 4b - 16   = 4l + 4b - 16   = 4(l + b) - 16   We do not know the values of l and b and hence area of the pathway cannot be found out. So we cannot determine total cost of the construction. Answer : Option Insufficient Data
<result>C</result>
It is decided to construct a 2 metre broad pathway around a rectangular plot on the inside. If the area of the plots is 96 sq.m. and the rate of construction is Rs. 50 per square metre., what will be the total cost of the construction?