Answer : Option C

Explanation :

Let length and width of the rectangular plot be l and b respectively
Total Area of the rectangular plot = 96 sq.m.
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 total area of the rectangular plot
can not be found out. So we can not find out total cost of the construction.