Question

find the lateral area of the prism. the base is a regular hexagon. 5 ft. 10 ft. square feet

Explanation:

Step1: Identify base - perimeter formula for hexagon

A regular hexagon has 6 equal sides. Given side length $s = 5$ ft, the perimeter of the base $P=6s$.
$P = 6\times5=30$ ft

Step2: Use lateral - area formula for prism

The lateral - area formula of a prism is $L = Ph$, where $P$ is the perimeter of the base and $h$ is the height of the prism. Here, $h = 10$ ft.
$L=30\times10 = 300$ square feet

Answer:

300