document.write( "Question 883022: Sally wants to put a border around a 4x6 inch picture. She would like the border to be twice the
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document.write( "area of the picture. What is the border width should Sally use (in inches)?
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Algebra.Com's Answer #533251 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! ally wants to put a border around a 4x6 inch picture. She would like the border to be twice the \n" ); document.write( "area of the picture. What is the border width should Sally use (in inches)? \n" ); document.write( "-------- \n" ); document.write( "Draw the picture:: \n" ); document.write( "You have a rectangle inside a rectangle. \n" ); document.write( "-------- \n" ); document.write( "The inner rectangle has area 4X6 = 24 in^2 \n" ); document.write( "--------------------- \n" ); document.write( "The ourter rectangle (including the inner) has area:: \n" ); document.write( "(6+2x)(4+2x) = 24 + 20x + 4x^2 \n" ); document.write( "---- \n" ); document.write( "The frame area = outer - inner = 4x^2 + 20x. \n" ); document.write( "------ \n" ); document.write( "Equation: \n" ); document.write( "4x^2 + 20x = 2*24 \n" ); document.write( "x^2 + 5x - 12 = 0 \n" ); document.write( "x = [-5 +- sqrt(25-4*-12)]/2 = (-5+sqrt(73))/2 = 1.77 inches) \n" ); document.write( "============= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "--------------------- \n" ); document.write( " |