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Rudiy27
3 years ago
9

Literal equation S=2 (lw+lh+wh) solve for w

Mathematics
1 answer:
olga_2 [115]3 years ago
3 0
S=2\left( lw+lh+wh \right) \\ \\ S=2\left\{ w\left( l+h \right) +lh \right\} \\ \\ \frac { 1 }{ 2 } \cdot S=2\left\{ w\left( l+h \right) +lh \right\} \cdot \frac { 1 }{ 2 } \\ \\ \frac { S }{ 2 } =w\left( l+h \right) +lh\\ \\ w\left( l+h \right) =\frac { S }{ 2 } -lh\\ \\ \frac { 1 }{ \left( l+h \right)  } \cdot w\cdot \left( l+h \right) =\frac { 1 }{ \left( l+h \right)  } \left( \frac { S }{ 2 } -lh \right)

\\ \\ w=\frac { 1 }{ \left( l+h \right)  } \left( \frac { S }{ 2 } -lh \right)
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