Answer
$Area=\frac{\sqrt {231}}{64}=0.237$
Work Step by Step
$s=\frac{a+b+c}{2}=\frac{1+\frac{1}{2}+\frac{5}{4}}{2}=\frac{\frac{11}{4}}{2}=\frac{11}{8}$
$Area=\sqrt {s(s-a)(s-b)(s-c)}=\sqrt {\frac{11}{8}(\frac{11}{8}-1)(\frac{11}{8}-\frac{1}{2})(\frac{11}{8}-\frac{5}{4})}=\sqrt {\frac{11}{8}(\frac{3}{8})(\frac{7}{8})(\frac{1}{8})}=\frac{\sqrt {231}}{64}=0.237$
