Answer:
[tex]\large\boxed{S.A.=467\ in^2}[/tex]
Step-by-step explanation:
We have two triangles and three rectangles.
The formula of an area of a triangle:
[tex]A_{triangle}=\dfrac{bh}{2}[/tex]
b - base
h - height
The formula of an area of a rectangle:
[tex]A_{rectangle}=lw[/tex]
l - length
w - width
TRIANGLE:
b = 11 in, h = 7 in
[tex]A_1=\dfrac{(11)(7)}{2}=\dfrac{77}{2}=37.5\ in^2[/tex]
RECTANGLE 1:
l = 11 in, w = 14 in
[tex]A_2=(11)(14)=154\ in^2[/tex]
RECTANGLE 2:
l = 9 in, w = 14 in
[tex]A_3=(9)(14)=126\ in^2[/tex]
RECTANGLE 3:
l = 8 in, w = 14 in
[tex]A_4=(8)(14)=112\ in^2[/tex]
The Surface Area:
[tex]S.A.=2A_1+A_2+A_3+A_4[/tex]
Substitute:
[tex]S.A.=2(37.5)+154+126+112=467\ in^2[/tex]
