Question

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 cm
D. 683.9 cm

Answer 1

Answer:

The correct option is C. 341.9 cm²  

Step-by-step 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 :

$Area =\frac{5}{2}\times side\times apothem\\\\\implies Area=\frac{5}{2}\times 14.1\times 9.7\\\\\implies Area = 341.925\: cm^2\\\\\implies Area\approx 341.9\:cm^2$

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

Hence, The correct option is C. 341.9 cm²