Answer:
The surface area is [tex]168\ mm^{2}[/tex]
Step-by-step explanation:
we know that
The tent is a triangular prism
see the attached figure to better understand the problem
The surface area of the triangular prism is equal to
[tex]SA=2B+PL[/tex]
where
B is the area of the triangular face
P is the perimeter of the triangular face
L is the length of the prism
Find the area of the triangular face B
[tex]B=\frac{1}{2}(6)(4)=12\ mm^{2}[/tex]
Find the perimeter of the triangular face P
[tex]P=(6+5+5)=16\ mm[/tex]
we have
[tex]L=9\ mm[/tex]
substitute the values
[tex]SA=2(12)+(16)9=168\ mm^{2}[/tex]
