Answer the questions

Use the figure shown to answer #37-38. The figure contains a rectangle with one semicircle on one end and an isosceles triangle on the other end. The length and width of the rectangle are indicated by x and y. The height of the triangle is the same as the radius of the semicircle. The perimeter of the figure is 60 + 81. (The picture is not drawn to scale.) y X * 1/ 2 37. Write the area A of the region inside the figure as a function of x. Use the form f (x) = ax + bx + c to write your answer. 6 38. Algebraically determine the dimensions of the rectangle that will produce a maximum area. Give the approximations rounded to the nearest thousandth