document.write( "Question 941014: The Johnson family is building a dog house. The total floor surface area will be 24 sq. ft. If the length is 6 more than three times the width what is the width of the dog house? I am very lost how do I get the width? \n" ); document.write( "

Algebra.Com's Answer #573556 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
What they don't say is that the floor of
\n" ); document.write( "the dog house is a rectangle- but that's a
\n" ); document.write( "pretty safe assumption.
\n" ); document.write( "In a rectangle:
\n" ); document.write( "(1) $\"+A+=+L%2AW+\"$
\n" ); document.write( "--------------
\n" ); document.write( "given:
\n" ); document.write( " $\"+A+=+24+\"$ ft2
\n" ); document.write( "(2) $\"+L+=+3W+%2B+6+\"$ ft
\n" ); document.write( "---------------------
\n" ); document.write( "Substitute (2) into (1)
\n" ); document.write( "(1) $\"+24+=+%28+3W+%2B+6+%29%2AW+\"$
\n" ); document.write( "(1) $\"+24+=+3W%5E2+%2B+6W+\"$
\n" ); document.write( "(1) $\"+3W%5E2+%2B+6W+-+24+=+0+\"$
\n" ); document.write( "Divide both sides by $\"+3+\"$
\n" ); document.write( "(1) $\"+W%5E2+%2B+2W++-+8+=+0+\"$
\n" ); document.write( "(1) $\"+%28+W+%2B+4+%29%2A%28+W+-+2+%29+=+0+\"$ ( by looking at it )
\n" ); document.write( " $\"+W+=+2+\"$ ( can't use negative result )
\n" ); document.write( "and, since
\n" ); document.write( "(2) $\"+L+=+3W+%2B+6+\"$
\n" ); document.write( "(2) $\"+L+=+3%2A2+%2B+6+\"$
\n" ); document.write( "(2) $\"+L+=+12+\"$
\n" ); document.write( "---------------
\n" ); document.write( "The width is 2 ft
\n" ); document.write( "---------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+A+=+W%2AL+\"$
\n" ); document.write( " $\"+24+=+2%2A12+\"$
\n" ); document.write( " $\"+24+=+24+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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