Question 1086769
Let the shortest wall = {{{ x }}}
The longer wall = {{{ x + 7 }}}
----------------------------
{{{ x^2 + ( x+7 )^2 = 13^2 }}}
{{{ x^2 + x^2 + 14x + 49 = 169 }}}
{{{ 2x^2 + 14x - 120 = 0 }}}
{{{ x^2 + 7x - 60 = 0 }}}
By looking at this I can see:
{{{ ( x + 12 )*( x - 5 ) = 0 }}}
{{{ x = 5 }}} ( can't use the negative solution )
and
{{{ x + 7 = 12 }}}
---------------------
The width is 5 ft
The length is 12 ft
------------------
check:
{{{ 5^2 + 12^2 = 13^2 }}}
{{{ 25 + 144 = 169 }}}
{{{ 169 = 169 }}}
OK