1. The following shape is composed of a rectangle and four semicircles. (a) Suppose the perimeter of the shape is 1071' centimeters. Write a formula for the area of the shape, A, as a function of .1'. (b) What is the domain of A? (c) Compute \"Elli. Show all of your steps. (d) What is the maximum possible area of the shape? Give an exact answer and show all of your steps. (e) What is the minimum possible area of the shape? Give an exact answer and show all of your steps