Answer:
Option A, [tex]385.0\ ft^2[/tex]
Step-by-step explanation:
Step 1: Determine the area of the base
[tex]A = l * w[/tex]
[tex]A = 11\ ft * 11\ ft[/tex]
[tex]A = 121\ ft^2[/tex]
Step 2: Determine the area of the triangles
[tex]A = \frac{h * b}{2}[/tex]
[tex]A = \frac{12\ ft * (11\ ft / 2)}{2}[/tex]
[tex]A = \frac{12\ ft * 5.5\ ft}{2}[/tex]
[tex]A = \frac{66\ ft^2}{2}[/tex]
[tex]A = 33\ ft^2[/tex]
There are two of these triangles per side which means that there are 8 of these triangles in total.
[tex]33\ ft^2 * 8[/tex]
[tex]264\ ft^2[/tex]
Step 3: Determine the surface area
[tex]SA = 121\ ft^2 + 264\ ft^2[/tex]
[tex]SA = 385\ ft^2[/tex]
Answer: Option A, [tex]385.0\ ft^2[/tex]
