Area of combined plane figures

 example how to find the area of a compound figure.
Example: Find the area of figure below:

Solution:
Above figure is the combination of a square and a right triangle.
So divide given figure into square and a right triangle with the sides measurement. 

Determine the area of square and triangle.
Area of square = (Side)2${}^2$ = 15 ×$\times$ 15 = 225
Area of triangle = 12$\frac{1}{2}$ * Base * Height = 12$\frac{1}{2}$ ×$\times$ 5 ×$\times$ 9 = 22.5
Area of figure = 225 + 22.5 = 247.5
Area of given figure is 247.5 square unit.