A regular pentagonal prism has a height of 15 meters. If the length of
each side of its pentagonal base is 5 meters long, what is the lateral
area of the prism?

Hi!!

The lateral sides of the pentagonal prism are rectangles that have the
following dimensions:

Base (B) =  Lenght of each side of the pentagonal base
Height (H) = Prism's height

Number of lateral sides (N) = number of sides of the pentagonal base 

Lateral area of the Pentagonal Prism = B x H x N =
                                     = 5 m x 15 m x 5 =
                                     = 375 m^2

The lateral area of the prism is 375 m^2


I hope this helps you. Feel free to request for any clarification if it is needed.


Regards.
livioflores-ga