Mathematics
kellieholbrook16
15

Can you help me with this equation? Solve for h SA=2lw+2lh+2hw

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(1) Answers
Carry751

[latex]SA = 2lw + 2lh + 2wh[/latex] [latex]SA = 2(lw) + 2(lh) + 2(wh)[/latex] [latex]SA = 2(lw + lh + wh)[/latex] [latex]\frac{SA}{2} = \frac{2(lw + lh + wh)}{2}[/latex] [latex]\frac{1}{2}SA = lw + lh + wh[/latex] [latex]\frac{1}{2}SA - lw = lw - lw + lh + wh[/latex] [latex]\frac{1}{2}SA - lw = lh + wh[/latex] [latex]\frac{1}{2}SA - lw = h(l) + h(w)[/latex] [latex]\frac{1}{2}SA - lw = h(l + w)[/latex] [latex]\frac{\frac{1}{2}SA - lw}{l + w} = \frac{h(l + w)}{l + w}[/latex] [latex]\frac{\frac{1}{2}{SA}}{l + w} - \frac{lw}{l + w} = h[/latex]

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