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