Question 1121798
The perimeter, {{{ P }}} is
{{{ P = 2W + 2L }}}
Given:
{{{ L = 6W + 7 }}}
Plug this result back into {{{ P }}}
{{{ P = 2W + 2*( 6W + 7 ) }}}
{{{ P = 70 }}}
{{{ 70 = 2W + 12W + 14 }}}
{{{ 70 = 14W + 14 }}}
{{{ 14W = 56 }}}
{{{ W = 4 }}}
And
{{{ L = 6*4 + 7 }}}
{{{ L = 24 + 7 }}}
{{{ L = 31 }}}
The length is 31 ft
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Check:
{{{ P = 2*4 + 2*31 }}}
{{{ P = 8 + 62 }}}
{{{ P = 70 }}}
OK