Question 650774

the perimeter of a rectangle is {{{P=46ft}}} 


the width is {{{W}}} {{{3ft}}} less than {{{twice}}} the length {{{L}}}:


{{{W+3ft=2L}}} ....->... {{{(W+3ft)/2=L}}}


{{{2(L+W)=46ft}}} ....substitute {{{L}}}


{{{2((W+3ft)/2+W)=46ft}}} 


{{{((W+3ft)/2+2W/2)=46ft/2}}} 


{{{(W+3ft+2W)/2=23ft}}} 


{{{3W+3ft=23ft*2}}} 


{{{3W+3ft=46ft}}}


{{{3W=46ft-3ft}}}


{{{3W=43ft}}}


{{{W=43ft/3}}}


{{{W=14.33ft}}}


now find {{{L}}}


{{{(14.33ft+3ft)/2=L}}}


{{{(17.33ft)/2=L}}}


{{{8.665ft=L}}}