The area of a rectangle is 180 ~\mathrm{units}^{2} and the perimeter is 54~\mathrm{units}. If the length of each side of the rectangle is increased by six units, what is the area of the resulting rectangle?
The area of a rectangle is 180 ~\mathrm{units}^{2} and the perimeter is 54~\mathrm{units}. If the length of each side of the rectangle is increased by six units, what is the area of the resulting rectangle?