We are asked to find the area of the inside of the pan that need to be coated. The bottom of the pan is a rectangle 13 by 9 inches. Therefore, the area of the base is \textcolor{darkviolet}{B_\text{base}}={\color{#0000FF}{13}}\cdot {\color{#009600}{9}}=\textcolor{darkviolet}{117} squared inches. Next we will find the lateral area of the cake pan.
The lateral area of a prism is equal to L=Ph, where P is the perimeter of the base and h is the height of the prism. This tells us that P=2* 13+2* 9= 44 inches, and h= 2 inches.
The lateral area is L=88 square inches, and the area of the base is B=117 square inches. Therefore, the area of the inside of the pan that needs to be coated is the sum of these two ares.
