Two triangular prisms are similar. the perimeter of each face of one prism is double the perimeter of the corresponding face of the other prism.

how are the surface areas of the figures related?

the surface areas are the same.
the surface area of the larger prism is 2 times the surface area of the smaller prism.
the surface area of the larger prism is 4 times the surface area of the smaller prism.
the surface area of the larger prism is 8 times the surface area of the smaller prism.

The surface area of the larger prism is 4 times the surface area of the smaller prism.

I assumed values on the triangular prisms. Each value on the first prism has been doubled in the second prism.

Pls. see attachment. 

we know that

if the perimeter of each face of one prism is double the perimeter of the corresponding face of the other prism and the two triangular prisms are similar

then

the scale factor is equal to

so

substitute the value of the scale factor

therefore

the answer is the option

The surface area of the larger prism is 4 times the surface area of the smaller prism.

just insert the x numbers in the calculation.. so for x = - 3 - > (- 3) / 2 +4 = 2.5

Step-by-step explanation:

x - 2 = y 3

and so on