Question

The perimeter of the base of a pentagonal prism is 25 inches and one of its lateral edges is 4 inches. The lateral area of the prism is ________ square inches.

Answer 1

100 square inches

Answer 2

Lateral area=100 square inches

Explanation:

It is given that the perimeter of the base of a pentagonal prism is 25 inches, therefore each sides of the pentagon will be of 5 inches.

Also, one of its lateral edge is 4 inches, therefore each lateral face has area which will be equal to=
`5{*}4`=
`20`square inches.

Since, there are 5 lateral faces of the pentagonal prism, therefore the lateral area of the prism will be:
`5{*}20`

=
`100`square inches.