Chapter 11.4, Problem 40STP

To determine

To find: The polynomial that represents the area of the regular pentagon.

Answer to Problem 40STP

The correct option is D

Explanation of Solution

Given:

The given diagram is shown in Figure 1

  

Figure 1

Calculation:

From the given figure, the area of the polygon is,

  $\begin{array}{c}A=\frac{1}{2}a\left(ns\right)\\ =\frac{1}{2}\left(2y\right)\left(\left(5\right)\left(4y-2\right)\right)\\ =20y^2-10y\end{array}$

Thus, the correct option is D