Consider a regular pentagon where each side has a length of 10 units. Calculate the area of the pentagon. Recall that the formula for the area of a regular polygon is given by:
$$A =\frac{1}{4} n s^2\frac{1}{ an(\frac{ heta}{2})}$$
where $$n$$ is the number of sides, $$s$$ is the length of a side, and $$ heta$$ is the angle in radians associated with each vertex and determined by the formula $$ heta =\frac{360^ ext{o}}{n}$$.