so hmmm notice below the picture
those there are the 45-45-90 triangle and 30-60-90 triangle rules
notice the ratio, so, we use the ratios to get the values, since the trapezoid has a 30-60-90 triangle on the left-hand-side and a 45-45-90 one on the right-hand-side
as far as the area of a trapezoid [tex]\bf \textit{area of a trapezoid}\\\\
A=\cfrac{h}{2}(a+b)\qquad
\begin{cases}
h=height\\
a,b=\textit{parallel sides, or bases}
\end{cases}
[/tex]