document.write( "Question 83263: a room has a floor area of 520 square feet. one dimension is 6 feet more than the other. Find the dimensions of the room.\r
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document.write( "i know that the formula is a=lw would i do as i would a equation im not sure can you please help understand\r
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document.write( "thank you
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document.write( "jenzbears \n" );
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Algebra.Com's Answer #59771 by ptaylor(2198)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "YOU ARE RIGHT!!! A=LW=520 SQ FT\r \n" ); document.write( "\n" ); document.write( "Let length=L\r \n" ); document.write( "\n" ); document.write( "Now we are told the the one dimension (width) is 6 feet more than the other (length). So:\r \n" ); document.write( "\n" ); document.write( "Width would=L+6 so our equation to solve is:\r \n" ); document.write( "\n" ); document.write( "520=L(L+6) get rid of parens\r \n" ); document.write( "\n" ); document.write( "520=L^2+6L subtract 520 from both sides\r \n" ); document.write( "\n" ); document.write( "520-520=L^2+6L-520 collect like terms\r \n" ); document.write( "\n" ); document.write( "L^2+6L-520=0 quadratic in standard form where A=1, B=6 and C=-520. By inspection, we can see that this quadratic can be factored. The factors are:\r \n" ); document.write( "\n" ); document.write( "(L+26)(L-20)=0\r \n" ); document.write( "\n" ); document.write( "L=-26ft--------------------------discount negative lengths\r \n" ); document.write( "\n" ); document.write( "L=20 ft-------------------------------Length\r \n" ); document.write( "\n" ); document.write( "L+6=20+6=26ft--------------------------Width\r \n" ); document.write( "\n" ); document.write( "CK\r \n" ); document.write( "\n" ); document.write( "20*26=520 \n" ); document.write( "520=520\r \n" ); document.write( "\n" ); document.write( "Note: If the A coefficient of a quadratic is 1, then the B coefficient is the sum of the factors of the C coefficient.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor \n" ); document.write( " \n" ); document.write( " |