The base of trapezoid is equal to a = 25.5 cm and b = 43.5 cm.
The area of trapezoid is A = 1656.
The formula for the area of trapezoid is,
[tex]A=\frac{a+b}{2}\cdot h[/tex]Substitute the values in the formula to obtain the height of trapezoid.
[tex]\begin{gathered} 1656=\frac{25.5+43.5}{2}\cdot h \\ h=\frac{1656\cdot2}{69} \\ h=24\cdot2 \\ =48 \end{gathered}[/tex]So height of trapezoid is 48 cm.
