Question

Arianna has a tent for her dollhouse. What is the surface area of the tent? 159 mm2 192 mm2 123 mm2 168 mm2

Answer 1

Answer:

The surface area is $168\ mm^{2}$

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

$SA=2B+PL$

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

$B=\frac{1}{2}(6)(4)=12\ mm^{2}$

Find the perimeter of the triangular face P

$P=(6+5+5)=16\ mm$

we have

$L=9\ mm$

substitute the values

$SA=2(12)+(16)9=168\ mm^{2}$

Answer 2

Answer:

168

Step-by-step explanation: