Question 150681
Call the length {{{l}}}
Call the width {{{w}}}
{{{l/w = 8/5}}}
{{{l = w + 2}}}
{{{(w + 2)/w = 8/5}}}
Multiply both sides by {{{5w}}}
{{{5*(w + 2) = 8w}}}
{{{5w + 10 = 8w}}}
{{{3w = 10}}}
{{{w = 10/3}}}
{{{l = 10/3 + 2}}}
{{{l = 10/3 + 6/3}}}
{{{l = 16/3}}}
The length is {{{(16/3)*12 = 64}}}in.
The width is {{{(10/3)*12 = 40}}} in.
check answer:
The length is {{{24}}} in longer than the width
{{{l/w = 8/5}}}
{{{64/40 = 8/5}}}
{{{5*64 = 8*40}}}
{{{320 = 320}}}
OK
{{{l = 40 + 24}}}
{{{l = 64}}}
OK