Question 919987
Lw = 180, L = 180/w
..........
(L-7)(w-4) = Area of Square
{{{(180/w -7)(w-4) = s^2}}}
{{{((180 -7w)/w)(w-4) = s*s}}}
(180 - 7w)/w = w-4
180-7w = w^2 - 4w
w^2 +3w - 180 = 0  Tossing out the negative solution for unit measure)
(w+15)(w-12) = 0
w = 12
s = {{{ highlight_green(8)}}}   {{{12-4}}}
.........
And Checking... L = 15 {{{180/12}}}
(15-7)(12-4) = 8•8 = s^2