Answer:
Option C. [tex]64\ cm^2[/tex]
Step-by-step explanation:
see the attached figure N 1 to better understand the problem
we know that
The trapezoid can be decomposed into two right triangles and a rectangle
see the attached figure N 2
so
The area of the trapezoid is equal to the area of two right triangles and one rectangle
The area of trapezoid is equal to
[tex]A=\frac{1}{2}(5)(4)+(12)(4)+\frac{1}{2}(3)(4)[/tex]
[tex]A=10+48+6[/tex]
[tex]A=64\ cm^2[/tex]
