Question

Can someone help me find AB. Please

Answer 1

well, looking at the tickmarks on AD and the tickmarks on BC we can pretty much see that the segment MN is really the midsegment of the trapezoid, with parallel sides of AB and DC.

`\textit{midsegment of a trapezoid}\\\\ m=\cfrac{a+b}{2} ~~ \begin{cases} a,b=\stackrel{parallel~sides}{bases~\hfill }\\[-0.5em] \hrulefill\\ m=16\\ b=27 \end{cases}\implies 16=\cfrac{a+27}{2} \\\\\\ 32=a+27\implies 5=a=AB`