Problem 14

Given information

The area of the triangle is    and is cut from the corner of the square with the side .

The centroid of the remaining region is right side of the square.

Step-by-step explanation

Consider looking at Figure for the required diagram.

Consider the area of the square is that is .

 

Consider the base of the triangle is and the height of the triangle is from the data so the area of the triangle is then,

                   

Consider the centroid of the shaded region is,

 

Then,

 

Then, the value of is,