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.

Lateral area=100 square inches

Step-by-step 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==square inches.

Since, there are 5 lateral faces of the pentagonal prism, therefore the lateral area of the prism will be:

                                       = square inches.