A medical examiner wants to enlarge an existing medical lab such that the total area of the new lab is 1.5 times that of the original lab. The original lab's dimensions are 120 feet by 75 feet. The medical examiner wants to increase each dimension by the same amount. (a) Write a function that represents the area of the new lab. (b) Find the dimensions of the new lab. (c) The medical examiner wants to add a length to the sides of the lab that are 120 feet, and twice this length to the sides that are 75 feet, such that the total area of the new lab is 1.5 times that of the original lab. Repeat parts (a) and (b). Explain your results.
