document.write( "Question 854124: The dimensions of a rectangle are such that its length is 11in more than its width.
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document.write( "If the length were doubled and if the width were decreased by 5 in, the area would be increased by 10in^2.
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document.write( "What are the length and width of the rectangle? \n" );
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Algebra.Com's Answer #514495 by aditya2117(32)![]() ![]() You can put this solution on YOUR website! Let the width be x inches. \n" ); document.write( "Length = (x+11) inches \n" ); document.write( "Area= x(x+11) sq.inches \n" ); document.write( "Now As per question, \n" ); document.write( "2(x+11)(x-5)= x(x+11) + 10^2 \n" ); document.write( "=> 2(x^2+6x-55)=x^2+11x+100 \n" ); document.write( "=> 2x^2+12x-110=x^2+11x+100 \n" ); document.write( "=> 2x^2-x^2+12x-11x-110-100=0 \n" ); document.write( "=> x^2 + x - 210 = 0 \n" ); document.write( "=> x^2 + 15x - 14x - 210 = 0 \n" ); document.write( "=> x(x+15)-14(x+15)=0 \n" ); document.write( "=> (x+15)(x-14)=0 \n" ); document.write( "Therefore, \n" ); document.write( " x = -15 or 14 \n" ); document.write( "But measurement # negetive \n" ); document.write( "So, x=14 \n" ); document.write( " x+11 = 25 \n" ); document.write( "Ans: Length is 25 inches and width is 14 inches. \n" ); document.write( " |