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 ?
explanation : let length and width of the rectangular plot be l and b respectively total area of the rectangular plot = 96 sq . m . = > 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 - 4 l - 4 b + 16 ] = 96 - [ 96 - 4 l - 4 b + 16 ] = 96 - 96 + 4 l + 4 b - 16 = 4 l + 4 b - 16 = 4 ( l + b ) - 16 we do not know the values of l and b and hence area of the pathway can not be found out . so we can not determine total cost of the construction . answer : option c
divide(divide(96, const_4), 2)