Answer:
800
Step-by-step explanation:
The surface area of a pyramid is the sum of the areas all faces.
The triangles are congruent, with bases 16 inches and heights 17 inches, so the area of each triangle is
[tex]16\cdot 17\cdot \frac{1}{2}=136~\text{in}^2.[/tex]
Since there are four triangles, the combined area of them is
[tex]136\cdot 4=544~ \text{in}^2[/tex].
The area of the square base is [tex]16\cdot16=256~\text{in}^2[/tex], so the total area of all faces is [tex]544+256=\boxed{800~\text{in}^2}[/tex].
