Step 1
State the formula for the area(A) of a trapezoid
[tex]A=\lbrack\frac{(length\text{ of base a }+length\text{ of base b)}}{2}\text{\rbrack}\times height\text{ of trapezoid(h)}[/tex]
Where,
[tex]\begin{gathered} \text{base a=}2m \\ \text{base b= 6m} \\ A=16m^2 \end{gathered}[/tex]
Step 2
Find the height of the trapezoid
[tex]16=(\frac{2+6}{2})\times h[/tex][tex]\begin{gathered} 16(2)=(\frac{2+6}{2})2h \\ 32=8h \\ \frac{8h}{8}=\frac{32}{8} \\ h=4\text{meters} \end{gathered}[/tex]
Hence the height of the trapezoid = 4 meters
