Question 577934
{{{ P = 2W + 2L }}}
given:
{{{ L = W + 3 }}}
{{{ P = 50 }}}
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{{{ 2W + 2L = 50 }}}
By substitution:
{{{ 2W + 2*( W + 3 ) = 50 }}}
{{{ 2W + 2W + 6 = 50 }}}
{{{ 4W = 50 - 6 }}}
{{{ 4W = 44 }}}
{{{ W = 11 }}}
and
{{{ L = W + 3 }}}
{{{ L = 11 + 3 }}}
{{{ L = 14 }}}
The rectangle is 11 x 14 
check:
{{{ P = 2W + 2L }}}
{{{ 50 = 2*11 + 2*14 }}}
{{{ 50 = 22 + 28 }}}
{{{ 50 = 50 }}}
OK