Question

Find the area of a regular pentagon whose apothem is 25.1 mm and perimeter is 182 mm.

Answer 1

Divide the pentagon into 5 triangles each with an outermost side length of 182/5 or 36.4. You can also know that the height of all these triangles will be the length of the aphorism or 25.1 mm so you can find the area of one triangle using A=1/2 bh, that gives you 456.82, then multiply this by your 5 as to include all 5 triangles in the pentagon which gives you 2284.1 mm^2. I hope it helps