document.write( "Question 886386: The area of a rectangle is 42 ft. squared, , and the length of the rectangle is 11 ft. less than three times the width. Find the dimensions of the rectangle:\r
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document.write( "Length: ft.
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document.write( "Width: ft.\r
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document.write( "PLEASE HELP!
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document.write( "THANK YOU :) \n" );
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Algebra.Com's Answer #535891 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The area of a rectangle is 42 ft. squared, , and the length of the rectangle is 11 ft. less than three times the width. Find the dimensions of the rectangle: \n" ); document.write( "------ \n" ); document.write( "Let width be \"x\" \n" ); document.write( "Then length is \"3x-11\" \n" ); document.write( "--- \n" ); document.write( "Equation: \n" ); document.write( "width*length = 42 \n" ); document.write( "x(3x-11) = 42 \n" ); document.write( "3x^2-11x-42 = 0 \n" ); document.write( "----- \n" ); document.write( "x = [11+-sqrt(121-4*3*-42))]/6 \n" ); document.write( "x = [11+-sqrt(625)]/6 \n" ); document.write( "Positive solution: \n" ); document.write( "x = (11+25)/6 \n" ); document.write( "x = 36/6 = 6 ft (width) \n" ); document.write( "3x-11 = 18-11 = 7 ft (length) \n" ); document.write( "--------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "================ \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |