Find the lateral area for the prism. l. a. =
find the total area for the prism. t. a. =

Part 1)

Part 2)

Step-by-step explanation:

Part 1) Find the lateral area of the prism

we know that

The lateral area of the prism is equal to

where

P is the perimeter of the base

h is the height of the prism

Applying the Pythagoras Theorem

Find the hypotenuse of the triangle

Find the perimeter of triangle

Find the lateral area

we have

substitutes

Part 2) Find the total area of the prism

we know that

The total area of the prism is equal to

where

LA is the lateral area of the prism

B is the area of the base of the prism

Find the area of the base B

The area of the base is equal to the area of the triangle

substitute

Find the total area of the prism

we have

substitute

i found two solutions,   n = 2 • ± √3 = ± 3.4641

step-by-step explanation:

it should be a.

hope it