$$A=1/2b \times h$$
$\left\{\begin{matrix}b=\frac{2A}{h}\text{, }&h\neq 0\\b\in \mathrm{R}\text{, }&A=0\text{ and }h=0\end{matrix}\right.$
$$\frac{1}{2}bh=A$$
$$\frac{h}{2}b=A$$
$$\frac{2\times \frac{h}{2}b}{h}=\frac{2A}{h}$$
$$b=\frac{2A}{h}$$
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$A=\frac{bh}{2}$