Question

The perimeter of the scalene base of a pentagonal right prism is 17, and a lateral edge of the prism measures 10. Find the prism’s lateral area.

1. The lateral area of the pentagonal prism is   = 850

### What does a pentagonal prism?

A prism with two pentagonal bases and five rectangular sides is called a pentagonal prism. It is a hexagon.
the pentagonal prism has a base that is pentagonal. With seven faces, fifteen edges, and ten vertices, it is a particular kind of heptahedron.

### What do you mean by lateral area?

All of an object’s sides, excluding its base and top, are referred to as its lateral surface (when they exist). The size of the lateral surface is referred to as the lateral surface area. The total surface area, which consists of the lateral surface area along with the areas of the base and top, should be distinguished from this.

### According to the given information :

base of a pentagonal right prism is  = 17
lateral edge of the prism measures  = 10
the prism’s lateral area = ?
According to the formula :
Area = 5 x base x height
= 5 x 17 x 10
=  850
The lateral area of the pentagonal prism is   = 850
To know more about pentagonal prism visit:
#SPJ4