We are asked to determine the area of the given figure. To do that we will divide the figure into a square and a triangle. The area of the square is the product of its dimension, therefore, the area is:
[tex]A_{sq}=mp[/tex]
The area of the triangle is given by the following formula:
[tex]A_t=\frac{bh}{2}[/tex]
Where "b" is the base and "h" is its height. Replacing the values:
[tex]A_t=\frac{(6)(m)}{2}=\frac{1}{2}6m[/tex]
The total area is the sum of both areas:
[tex]A=A_{sq}+A_t[/tex]
replacing the areas:
[tex]A=mp+\frac{1}{2}6m[/tex]
