In trapezoid $ABCD,$ $\overline{AB} \parallel \overline{CD}$. Find the area of the trapezoid.
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\(96-44=a+b=h(tan20^\circ +tan 55^\circ )\\ h=\dfrac{52}{tan20^\circ +tan 55^\circ}=29.016\\ \overline{LM}=\dfrac{44+96}{2}=70\\ A=\overline{LM}\cdot h=70\cdot 29.016\\ \color{blue} A=2031.12\)
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