Question 56362
P = 2(l+w)
l = 2w + 2
{{{ P = 2(l+w) }}}
Substitute the valuse for the perimiter and the length into the equation so that you are dealing with only one variable
{{{ 52 = 2(2w +2 + w) }}}
combine like terms
{{{ 52 = 2(3w +2) }}}
distribute
{{{ 52 = 6w + 4 }}}
subtract 4 from both sides
{{{ 48 = 6w }}}
divide by 6
{{{ 8 = w }}}


{{{ l = 2w + 2 }}}
Plug in w=8
{{{ l = 2(8) + 2 }}}
{{{ l = 16 + 2 }}}
{{{ l = 18 }}}