Find the area of the composite figure

Look at the picture.
The area of the trapezoid:
[tex]A_T=\dfrac{1}{2}(15+7+5)\cdot4=27\cdot2=54\ in^2[/tex]
The area of the rectangle:
[tex]A_R=5\cdot6=30\ in^2[/tex]
The area of figure:
[tex]A=A_T+A_R\to A=54+30=84\ in^2[/tex]