The area of a trapezoid is given by:
[tex]A=\frac{b_1+b_2}{2}h[/tex]Plugging the values given we have:
[tex]\begin{gathered} A=\frac{5+7}{2}\cdot4 \\ A=\frac{12}{2}\cdot4 \\ A=6\cdot4 \\ A=24 \end{gathered}[/tex]Therefore the area is 24 square units.