Respuesta :

Answer: 38 in.^{2}


Step-by-step explanation:

1/ Find the area of the triangular sides. (1/2 x 2 x 6 = [tex]6 in.^{2}[/tex] for each triangular side)

2/ Find the area of each of the rectangular sides. In this case, the bottom (base) side is 2x6 = [tex]12 in^{2}[/tex]. The rectangular side on the left is 2x3 = [tex]6 in.^{2}[/tex], and the rectangular side on the right is 4x2 = [tex]8 in.^{2}[/tex].

3/ Add everything together. Rectangular Sides + Triangular Sides = Surface Area ---> [tex]12 in.^{2} + 6 in.^{2} + 8 in.^{2} + 6 in.^{2} + 6 in.^{2} = 38 in.^{2}[/tex]

4/ You have your answer, now hope it helps ! :)