document.write( "Question 54292: The area of a rectangular room is 56 square feet. The length is 6 feet less than twice the width. Fin the dimensions of the room. \n" ); document.write( "

Algebra.Com's Answer #36548 by Cintchr(481) $\"\"$ $\"About$

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1. $\"+A+=+LW+\"$
\n" ); document.write( "2. $\"+A+=+56+\"$
\n" ); document.write( "3. $\"+L+=+2w-6+\"$
\n" ); document.write( "4. $\"+W+=+W+\"$
\n" ); document.write( "Substitute
\n" ); document.write( " $\"+56+=+%282w-6%29%28w%29+\"$
\n" ); document.write( "Distribute
\n" ); document.write( " $\"+56+=+2w%5E2+-6w+\"$
\n" ); document.write( "Subtract 56 from both sides
\n" ); document.write( " $\"+0+=+2w%5E2+-6w+-56+\"$
\n" ); document.write( "Simplify by dividing all parts by 2
\n" ); document.write( " $\"+0+=+w%5E2+-3w+-28+\"$
\n" ); document.write( "Factor
\n" ); document.write( " $\"+0+=+%28w-7%29%28w%2B4%29+\"$
\n" ); document.write( "Zero-Product Theorm ... ie: set each piece equal to zero
\n" ); document.write( " $\"+0+=+w-7+\"$ and $\"+0+=+w%2B4+\"$
\n" ); document.write( " $\"+7=w+\"$ and $\"+-4=w+\"$
\n" ); document.write( "NO WAY can a length be a negative number ... so -4 is out.
\n" ); document.write( " $\"+W+=+7+\"$ \r
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\n" ); document.write( "\n" ); document.write( "Go back to the equations 3 and 4 and plug in 7 for W
\n" ); document.write( "3. $\"+L+=+2w-6+\"$
\n" ); document.write( " $\"+L+=+2%287%29+-6+\"$
\n" ); document.write( " $\"+L+=14+-+6\"$
\n" ); document.write( " $\"+L+=+8+\"$
\n" ); document.write( "4. $\"+W+=+W+\"$
\n" ); document.write( " $\"+W+=+7+\"$ \r
\n" ); document.write( "\n" ); document.write( "and since our Area is 56 .. and 8*7 = 56 ... we did this correctly.
\n" ); document.write( "The dimensions of the rectangular room are 8 feet by 7 feet\r
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