For this case, we must find the lateral area of the pentagonal prism shown in the figure.
By definition:
[tex]A_ {l} = P_ {b} * h[/tex]
Where:
[tex]A_{l}[/tex]: Is the lateral area
[tex]P_ {b}[/tex]: It is the perimeter of the base
h: It's the height
Substituting the values we have:
[tex]A_ {l} = 20 \ in * 6 \ in\\A_ {l} = 120 \ in ^ 2[/tex]
Answer:
[tex]A_ {l} = 120 \ in ^ 2[/tex]
