Answer
Total Area of the Shape: 198 m$^{2}$
Work Step by Step
To find the area of the shape we simply find the area of the triangle and sum it with the area of the square.
Area of a Square: $A$$_{square}$ = $s$$^{2}$
Therefore:
$A$$_{square}$ = (12 m)$^{2}$
$A$$_{square}$ = 144 m$^{2}$
Area of a Triangle: $A$$_{tri}$ = $\frac{1}{2}$$b$$h$
Therefore:
$A$$_{tri}$ =$\frac{1}{2}$(12 m)(9 m)
$A$$_{tri}$ = 54 m$^{2}$
$A$$_{total}$ = $A$$_{square}$ + $A$$_{tri}$
Therefore:
$A$$_{total}$ = 144 m$^{2}$ + 54 m$^{2}$
$A$$_{total}$ = 198 m$^{2}$