document.write( "Question 1027171: Hi, I'm having trouble solving and figuring out what to do with this problem:\r
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document.write( "A rectangular picture 16 inches by 20 inches has a frame of uniform width. Find the width of the frame if the total area of the picture and the frame is 672 square inches.\r
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document.write( "Thank you. \n" );
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Algebra.Com's Answer #642419 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Length of photo = 20 in \n" ); document.write( "Width = 16 in \n" ); document.write( "Total area = 672 \n" ); document.write( "Area of picture DISABLED_event_only= 320 m^2 \n" ); document.write( "Area of border = 352 m^2 \n" ); document.write( "Length of picture+border= 20 + 2 x \n" ); document.write( "width of picture+border = 16 + 2 x \n" ); document.write( " \n" ); document.write( "( 20 + 2 x ) ( 16 + 2 x ) + -320 = 352 \n" ); document.write( " \n" ); document.write( " 320 + 40 x + 32 x + 4 X^2 + -320 = 352 \n" ); document.write( " 4 X^2 + 72 x + -352 = 0 \n" ); document.write( " Find the roots of the equation by quadratic formula \n" ); document.write( " a= 4 b= 72 c= -352 \n" ); document.write( " b^2-4ac= 5184 - -5632 \n" ); document.write( " b^2-4ac= 10816 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " x1=( -72 + 104 )/ 8 \n" ); document.write( " x1= 4 \n" ); document.write( " x2=( -72 -104 ) / 8 \n" ); document.write( " x2= -15.5 \n" ); document.write( " Ignore negative value \n" ); document.write( " width of border 4 in \n" ); document.write( " \n" ); document.write( " |