document.write( "Question 139338: Help with translating this into a quadratic equation to solve. Thanks!\r
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document.write( "A photo is 3 inches longer that it is wide. A 2 inch border is placed around the photo making the total area of the photo and border 108in^2. What are the dimensions of the photo? \n" );
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Algebra.Com's Answer #101613 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Help with translating this into a quadratic equation to solve. Thanks! \n" ); document.write( "A photo is 3 inches longer that it is wide. A 2 inch border is placed around the photo making the total area of the photo and border 108in^2. What are the dimensions of the photo? \n" ); document.write( ": \n" ); document.write( "Let x = width of the photo \n" ); document.write( "then \n" ); document.write( "(x+3 = the length of the photo \n" ); document.write( ": \n" ); document.write( "The dimensions of the total area (photo and border): \n" ); document.write( "(x+4) = width \n" ); document.write( "and \n" ); document.write( "(x+3)+4 = \n" ); document.write( "which is: \n" ); document.write( "(x+7) = length \n" ); document.write( ": \n" ); document.write( "Total area equation: \n" ); document.write( "(x+4)(x+7) = 108 \n" ); document.write( "FOIL \n" ); document.write( "x^2 + 11x + 28 = 108 \n" ); document.write( ": \n" ); document.write( "x^2 + 11x + 28 - 108 = 0 \n" ); document.write( "The quadratic equation \n" ); document.write( "x^2 + 11x - 80 = 0 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Solve this for x to get the width of the photo \n" ); document.write( " |