Question 1058018
Let {{{ s }}} = the side of the square
-------------------------------
The sides of the rectangle are:
{{{ s + 3 }}} and {{{ s - 2 }}}
--------------------------
The area of the rectangle is:
{{{ ( s + 3 )*( s - 2 ) }}}
--------------------------
given:
{{{ s^2 = ( s + 3 )*( s - 2 ) - 30 }}}
{{{ s^2 = s^2 + 3s - 2s - 6 - 30 }}}
{{{ s^2 = s^2 + s - 36 }}}
{{{ s = 36 }}}
--------------
The side of the square is 36 cm
-------------------------------
check:
{{{ ( s + 3 )*( s  - 2 ) = ( 36 + 3 )*( 36 - 2 ) }}}
{{{ ( s + 3 )*( s  - 2 ) = 39*34 }}}
{{{ 36^2 = 39*34 - 30 }}}
{{{ 1296 = 1326 - 30 }}}
{{{ 1296 = 1296 }}}
OK