Solve the problem.

A company is constructing an open$-$top, square$-$based, rectangular metal tank that will have a volume of $44\mathrm{.}5e^3.$ What dimensions yield the minimum surface area? Round to the nearest tenth, if necessary.

$5\mathrm{.}1f5\mathrm{.}1f1\mathrm{.}7f$

$35f35A=35n$

$4\mathrm{.}5f4\mathrm{.}5f2\mathrm{.}2f$

$9\mathrm{.}4f9\mathrm{.}4f0\mathrm{.}5f$