Question 117653
The formula for the perimeter of a rectangle is
{{{P = 2w + 2l}}} where {{{l}}} = length
and {{{w}}} = width
{{{230 = 2w + 2l}}}
also given is
{{{l = 2w - 5}}}
{{{2w = l + 5}}}
substitue {{{2w}}} into 1st equation
{{{230 = l + 5 + 2l}}}
{{{3l = 225}}}
{{{l = 75}}} ft answer
{{{l = 2w - 5}}}
{{{75 = 2w - 5}}}
{{{2w = 80}}}
{{{w = 40}}} ft answer
The length is 75 ft and the width is 40 ft
check answer
{{{P = 2w + 2l}}}
{{{P = 2*40 + 2*75}}}
{{{P = 80 + 150}}}
{{{P = 230}}}
OK
{{{l = 2w - 5}}}
{{{75 = 2*40 - 5}}}
{{{75 = 80 - 5}}}
{{{75 = 75}}}
OK