Find the lateral area of the prism.

120 sq. in.
150 sq. in.
720 sq. in.

For this case, we must find the lateral area of the pentagonal prism shown in the figure.

By definition:

Where:

: Is the lateral area

: It is the perimeter of the base

h: It's the height

Substituting the values we have:

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)