(Solved): The top and bottom margins of a poster are 1 inches and the side margins are each 2 inches. The are ...

The top and bottom margins of a poster are 1 inches and the side margins are each 2 inches. The area of printed material on the poster is fixed at 16 square inches. See the image below Let \( w \) be the width (in inches) of the poster and let \( h \) be the height (in inches) of the poster. Find the dimensions of the poster with the smallest area. (a) Write the formula for the area \( A(w) \) of the entire poster as a function of \( w \) only: \[ A(w)=\quad \text { square in. for } w \in(4, \infty) \text {. } \] (b) What are the dimensions of the poster with the smallest area? \( w= \) in. \( h= \)