Question 800361
I can say:
{{{ ( 5 + 2x )*( 7 + 2x ) - 5*7 = 32 }}}
{{{ 35 + 14x + 10x + 4x^2 - 35 = 32 }}}
{{{ 4x^2 + 24x - 32 = 0 }}}
{{{ x^2 + 6x = 8 }}}
Complete the square
{{{ x^2 + 6x + (6/2)^2 = 8 + (6/2)^2 }}}
{{{ x^2 + 6x + 9 = 8 + 9 }}}
{{{ ( x + 3 )^2 = sqrt(17)^2 }}}
{{{ x + 3 = sqrt(17) }}}
{{{ x = sqrt(17) - 3 }}}
{{{ x = 4.123 - 3 }}}
{{{ x = 1.123 }}}
The frame is 1.123 inches wide
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check:
{{{ ( 5 + 2x )*( 7 + 2x ) - 5*7 = 32 }}}
{{{ ( 5 + 2*1.123 )*( 7 + 2*1.123 ) - 5*7 = 32 }}}
{{{ ( 5 + 2.246 )*( 7 + 2.246 ) - 5.7 = 32 }}}
{{{ 7.246*9.246 - 35 = 32 }}}
{{{ 66.997 = 67 }}}
close enough