Answer
$164 \text{ pounds}$
Work Step by Step
Since $1$ $ft$ is equal to $12$ $in.$, then the given height, $5$ $ft$ $8$ $in.$, is equivalent to
\begin{align*}
5(12)+8
\\\\=
60+8
\\\\=
68 \text{ } in
.\end{align*}
Using the given formula, $B=\dfrac{705w}{h^2},$ then
\begin{align*}
25=\dfrac{705w}{68^2}
\\\\
25=\dfrac{705w}{4624}
\\\\
25(4624)=705w
\\\\
\dfrac{25(4624)}{705}=w
\\\\
w=163.97163120567375886524822695035
.\end{align*}
To the nearest whole pound, the weight is $
164 \text{ pounds}
.$
