document.write( "Question 156530: The width of a rectangle is 6 less than twice its length. If the area of the rectangle is 180 cm, what is the length of the diagonal? \r
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document.write( "Note: Your answer must be a number. It may not contain any arithmetic operations. \r
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document.write( "The length of the diagonal is? \n" );
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Algebra.Com's Answer #115338 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! W=2L-6 \n" ); document.write( "L(2L-6)=180 \n" ); document.write( "2L^2-6L-180=0 \n" ); document.write( "2(L^2-3L-90)=0 \n" ); document.write( " \n" ); document.write( "L=(3+-SQRT[-3^2-4*1*-90])/2*1 \n" ); document.write( "L=(3+-SQRT9+360])/2 \n" ); document.write( "L=(3+-SQRT369)/2 \n" ); document.write( "L=(3+-19.21)/2 \n" ); document.write( "L=(3+19.21)/2 \n" ); document.write( "L=22.21/2 \n" ); document.write( "L=11.1 cm. IS THE LENGTH. \n" ); document.write( "W=2*11.1-6 \n" ); document.write( "W=22.2-6 \n" ); document.write( "W=16.2 cm. IS THE WIDTH. \n" ); document.write( "C^2=11.1^2+16.2^2 \n" ); document.write( "C^2=123.21+262.44 \n" ); document.write( "C^2=385.65 \n" ); document.write( "C=SQRT385.65 \n" ); document.write( "C=19.64 cm. LENGTH OF THE DIAGONAL. \n" ); document.write( " |