area of the trapezoid
[tex]A=\frac{B+b}{2}\cdot h[/tex]then find the height:
[tex]\begin{gathered} 10.9=\frac{4.8+2.2}{2}h \\ 10.9=\frac{7}{2}h \\ 10.9\times\frac{2}{7}=\frac{2}{7}\times\frac{7}{2}h \\ h=\frac{21.8}{7} \\ h=3.1 \end{gathered}[/tex]answer: height = 3.1 in
