Question

Find the area of the regular polygon. Round your answer to the nearest hundredt
7
square units

Answer 1

Answer: A ≈ 127.31 units²

Step-by-step explanation:

     We can use the given formula for the area of a regular hexagon, where a is equal to a given side (here, that is 7).

        $\displaystyle A=\frac{3\sqrt{3} }{2} a^2$

     We will substitute known values and solve by computing and simplifying.

        $\displaystyle A=\frac{3\sqrt{3} }{2} a^2$

        $\displaystyle A=\frac{3\sqrt{3} }{2} (7)^2$

        $\displaystyle A=\frac{5.1961524}{2} 49$

        $\displaystyle A=(2.59807621)(49)$

        $\displaystyle A=127.3057$

        $\displaystyle A\approx 127.31$