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