a rancher wants to enlarge an existing rectangular corral such that the total area of the new corral is 1.5 times that of the original corral. the current corral’s dimensions are 250 feet by 160 feet. The rancher wants to increase each dimension by the same amount.(a) write a function that represents the area A of the new corral.(b)find the dimensions of the new corral.(c)a rancher wants to add a length to the sides of the corral that are 160 feet, and twice the length to the sides that are 250 feet, such that the total area of the new corral is 1.5 times that of the original corral. Repeat parts (a) and (b). Explain your results.