ABCDE is a regular pentagon. The apothem is 9.7 cm, and AB = 14.1 cm. Calculate the area of the pentagon. Round the answer to the nearest tenth. A. 68.4 cm B. 136.8 cm C. 341.9 c…

Question

asked Sep 11, 2016 112k views

1 Answer

Hardik Hardiya · Answer 1 · 2016-09-16T17:45:00+0000

Answer:

The correct option is C. 341.9 cm²

Explanation:

Length of the apothem is given to be 9.7 cm

Also, Side length of the regular pentagon is given to be 14.1 cm

Now, we need to find the area of the pentagon :

So, Area of the regular pentagon is given by the formula :

$Area =(5)/(2)* side* apothem\\\\\implies Area=(5)/(2)* 14.1* 9.7\\\\\implies Area = 341.925\: cm^2\\\\\implies Area\approx 341.9\:cm^2$

Therefore, The required area of the regular pentagon = 341.9 cm²

Hence, The correct option is C. 341.9 cm²