Question 207161
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<font color=blue>First Equation:</font>
{{{L=12+W}}}, Length is 12 ft longer than the Width


<font color=blue>Second Equation:</font>
{{{P=2L+2W}}}
{{{144=2L+2W}}}


Substituting <font color=blue>L</font> in the 1st Eqn to the 2nd Eqn:
{{{144=2(blue(12+W))+2W}}}
{{{144=24+2W+2W}}}
{{{144-24=4W}}} ---> {{{120=4W}}} ---> {{{cross(120)30/cross(4)=cross(4)W/cross(4)}}}
{{{highlight(W=30ft)}}}


Back in <font color=blue>First Equation:</font>
{{{L=12+30}}}
{{{highlight(L=42ft)}}}


Check via <font color=blue>Second Equation:</font>
{{{144=2(42)+2(30)}}}
{{{144=84+60}}}
{{{144ft=144ft}}}


Thank you,
Jojo</font>