[tex]this \: hexagon \: is \: maed \: up \: of \: 2 trapezoid \: at \: equal \\ my \: style \: area \: of \: hexagon \: = \: 2 \times area \: of \: trapezoid \\ area \: of \: trapezoid \: = \frac{1}{2} \times hight \times The \: sum \: of \: the \: lengths \: of \: the \: sides \: parallel\\ area \: of \: trapezoid \: = \frac{1}{2} \times 3in \times (10in + 16in) \\ = \frac{1}{2} \times 3in \times 26in \\ = 39 {in}^{2} \\ area \: of \: hexagon \: = 2 \times 39 {in}^{2} \\ = 78 {in}^{2} [/tex]
