Question 59263
Photo :
Width = x
Length = x + 3


The border adds two inches TO EACH SIDE, so that is 4 more inches to add to the length and width
Photo w/border:


Width = x + 4
Length = x + 7
Area + 108


{{{ A= L * W }}}
{{{ 108 = (x+7)(x+4) }}}
FOIL
{{{ 108 = x^2 +11x + 28 }}}
subtract 108 from both sides
{{{ 0 = x^2 +11x - 80 }}}
factor
{{{ 0 = (x-5)(x+16) }}}
set each equal to 0
{{{ x-5=0 }}} and {{{ x+16=0 }}}
{{{ x = 5 }}} and {{{ x = -16 }}}
Lengths CAN NOT be negative values
{{{ x = 5 }}}


Photo :
Width = x = 5
Length = x + 3 = 8