document.write( "Question 22221: The length of the floor of a rectangular closet is 1 foot more than the width. The area of the floor is 56 square feet. Find the length and width of the floor.\r
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document.write( "I figured the answer was 7 and 8, beacause it made sense. But how would I have algebraicly found that answer?? \n" );
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Algebra.Com's Answer #10753 by queenofit(120)![]() ![]() ![]() You can put this solution on YOUR website! Length * Width = area \n" ); document.write( "we know the length is 1 more than the width. so set it up like this\r \n" ); document.write( "\n" ); document.write( "(L+1)(L)=56 \n" ); document.write( "multiply the left side\r \n" ); document.write( "\n" ); document.write( "L^2+L=56\r \n" ); document.write( "\n" ); document.write( "set this equal to zero \n" ); document.write( "0=L^2 +L -56\r \n" ); document.write( "\n" ); document.write( "use reverse foil to factor the equation\r \n" ); document.write( "\n" ); document.write( "0= (x-7)(x+8)\r \n" ); document.write( "\n" ); document.write( "set both values equal to zero \n" ); document.write( "0=x-7 0=x+8 \n" ); document.write( "7=x -8=x\r \n" ); document.write( "\n" ); document.write( "since you are dealing with lengths and widths you know that the answer cannot be a negative, so y is your width \n" ); document.write( "w=7 \n" ); document.write( "w+1=length \n" ); document.write( "7+1= 8\r \n" ); document.write( "\n" ); document.write( "so you get the answer 7 and 8 as you assumed. \n" ); document.write( " |