Question

Find the surface area of a pentagon

Answer 1

So hmm notice the picture below

what you really have is, 2 pentagons and 5 rectangles, stacked up to each other at the edges

so.. .the surface area of the figure, will be, the area of those 5 rectangles added together plus the area of those 2 pentagons

now... notice, each rectangle is a 12x8
now.. to get the pentagons area, keep in mind, the area of a regular polygon is  1/2 * apothem * perimeter

you have the apothem, is given, one side is 12 units long, the perimeter is all sides added together, thus 12+12+12+12+12

so.. get the area of each of the rectangles and those pentagons, sum them up, and that's the surface area of the figure