A construction company has adjoined a 500 ft2 rectangular enclosure to its office building. Three sides of the enclosure are fenced in. The side of the building adjacent to the enclosure is 50 ft long and a portion of this side is used as the fourth side of the enclosure. Let x and y be the dimensions of the enclosure, where x is measured parallel to the building, and let L be the length of fencing required for those dimensions. (a) Find a formula for L in terms of x and y
b) Find a formula that expresses L as a function of x alone
c) what is the domain of the function in part b?