The area of a trapezoid is given by the formula:
[tex]\begin{gathered} A=\frac{1}{2}(a+b)h \\ a\colon long\text{ base} \\ b\colon\text{short base} \\ h\colon\text{ height} \end{gathered}[/tex][tex]A=400mm^2;\text{ a=}36mm,\text{ b=14}mm[/tex]
Thus, we have:
[tex]\begin{gathered} 400=\frac{1}{2}(36+14)h \\ 400=\frac{1}{2}(50)h \\ 400=25h \\ \frac{400}{25}=h \\ h=16mm \end{gathered}[/tex]
Hence, the height of the trapezoid is 16mm
