What is the area of a regular pentagon with a side of 10in?

Area of a regular pentagon with a side of 10in  is 172

Step-by-step explanation:

Given:

Side of the regular pentagon = 10in

To Find:

Area of the regular pentagon=?

Solution:

We know that ,

................(1)

Step 1: Finding the Area of the triangle

we know that in a right angle triangle, there are base, height and hypotenuse  

So, from the above equation,  

area of right angle triangle

=>

=>

=> 17.20

Area of the triangle =2 x area of right angle triangle

Area of the triangle =2 x  17.20

Area of the triangle= 34.40

Step 2: Finding the Area of the pentagon

Substituting the values in (1)

Area of Pentagon= 172