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s=2(lw+lh+wh) solve for w

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Konrad509idn
[tex]S=2(lw+lh+wh)\\ S=2lw+2lh+2wh\\ S=w(2l+2h)+2lh\\ w(2l+2h)=S-2lh\\ w=\frac{S-2lh}{2l+2h}[/tex]
Calculistaidn

we have

[tex]s=2(lw+lh+wh)[/tex]

Solve for w means that clear variable w

[tex]s=2(lw+lh+wh)\\s=2lw+2lh+2wh[/tex]

Group terms that contain the variable w, and move the other terms to the opposite side of the equation

[tex](s-2lh)=(2lw+2wh)[/tex]

Factor the variable w

[tex](s-2lh)=w(2l+2h)[/tex]

Divide both sides by [tex](2l+2h)[/tex]

[tex](s-2lh)/(2l+2h)=w(2l+2h)/(2l+2h)[/tex]

[tex]w=(s-2lh)/(2l+2h)[/tex]

therefore

the answer is

[tex]w=(s-2lh)/(2l+2h)[/tex]


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