For this case we have that by definition, the area of a rectangular prism is given by:
[tex]A_ {t} = A_ {l} + 2A_ {b}[/tex]
Where:
[tex]A_{l}:[/tex] Is the lateral area
[tex]A_ {b}:[/tex]It is the area of the base
[tex]A_ {l} = P_ {b} * h[/tex]
Where:
[tex]P_ {b}[/tex] It is the perimeter of the base
h: It's the height
[tex]P_ {b} = (2 + 3 + 2 + 3) \ feet\\P_ {b} = 10 \ feet\\A_ {l} = 10 * 12\\A_ {l} = 120 \ feet ^ 2[/tex]
On the other hand:
[tex]A_ {b} = 2 * 3\\A_ {b} = 6 \ feet ^ 2[/tex]
Finally:
[tex]A_ {t} = 120 \ feet ^ 2 + 2 * 6 \ feet ^ 2\\A_ {t} = 132 \ feet ^ 2[/tex]
ANswer:[tex]A_ {t} = 132 \ feet ^ 2[/tex]
