ANSWER:
C. 817 ft^2
STEP-BY-STEP EXPLANATION:
To calculate the surface area of the pyramid, we must calculate the area for each face.
In total there are 5 faces, there are 4 equal triangles and the area of the base, the sum would be the value of the surface area, therefore:
area of the triangle
[tex]A_t=\frac{b\cdot h}{2}=\frac{19\cdot12}{2}=114[/tex]
area of the base:
[tex]A_b=l\cdot w=19\cdot19=361[/tex]
area of the square pyramid:
[tex]\begin{gathered} A_p=4\cdot A_t+A_b=4\cdot114+361 \\ A_p=817 \end{gathered}[/tex]
