## Geometry: Common Core (15th Edition)

72 $m^{2}$
First, find the base length of the triangle pictured. $a^{2}$+$b^{2}$=$c^{2}$ $8^{2}$+$b^{2}$=$10^{2}$ 64+$b^{2}$=100 $b^{2}$=36 b=6 Add this to the portion of the base given: 6+6=12. This is now your $b_{1}$. The figure shows you that $b_{2}$=6. We use the formula for the area of a trapezoid to obtain: A=$\frac{1}{2}$h($b_{1}$+$b_{2}$) A=$\frac{1}{2}$(8)(12+6) A=$\frac{1}{2}$(8)(18) A=72