The formula below is used in medicine to estimate the body surface area $A$, in square meters, of infants and children whose weight $w$ ranges between 3 and 30 kilograms and whose height $h$ is measured in centimeters.

$$A=\frac{\sqrt{hw}}{60}$$

Based on the formula, what is $h$ in terms of $A$ ?

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$$A=\frac{\sqrt{hw}}{60}$$ $$60A=\sqrt{hw}$$ $$(60A)^2=(\sqrt{hw})^2$$ $$3600A^2=hw$$ $$\boxed{h=\frac{3600A^2}{w}}$$