Answer
$216.5$ square inches
Work Step by Step
The top triangle has sides: $12,12, 17.$
Hence, by Heron's formula, $K=\sqrt{s(s-a)(s-b)(s-c)}$, where $s=\frac{a+b+c}{2},$ we have:
$s=\frac{12+12+17}{2}=20.5$
$K=\sqrt{20.5(20.5-12)(20.5-12)(20.5-17)}\approx72$ square inches
The bottom rectangle has sides, $17, 8.5, 17, 8.5$, hence its area is $17\cdot8.5=144.5$.
Thus, the total area is
$=72+144.5=216.5$ square inches
