document.write( "Question 1113179: Cynthia Besch wants to buy a rug for a room that is 23 ft wide and 30 ft long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 408
\n" ); document.write( "square feet of carpeting. What dimensions should the rug​ have?
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Algebra.Com's Answer #728180 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
The dimensions and area of the rug are:
\n" ); document.write( "\"+%28+23+-+2x+%29%2A%28+30+-+2x+%29+=+408+\"
\n" ); document.write( "\"+690+-+60x+-+46x+%2B+4x%5E2+=+408+\"
\n" ); document.write( "\"+4x%5E2+-+106x+%2B+282+=+0+\"
\n" ); document.write( "\"+2x%5E2+-+53x+%2B+141+=+0+\"
\n" ); document.write( "Use quadratic formula
\n" ); document.write( "\"+x+=+%28+-b+%2B_sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282a%29+\"
\n" ); document.write( "\"+a+=+2+\"
\n" ); document.write( "\"+b+=+-53+\"
\n" ); document.write( "\"+c+=+141+\"
\n" ); document.write( "\"+x+=+%28+-%28-53%29+%2B-sqrt%28+%28-53%29%5E2+-+4%2A2%2A141+%29%29%2F4+\"
\n" ); document.write( "\"+x+=+%28+53+%2B-sqrt%28+2809+-+1128+%29%29+%2F+4+\"
\n" ); document.write( "\"+x+=+%28+53+%2B+sqrt%28+1681+%29%29+%2F+4%0D%0A%7B%7B%7B+x+=+%28+53+%2B+41+%29%2F4+\"
\n" ); document.write( "\"+x+=+94%2F4+\"
\n" ); document.write( "\"+x+=+23.5+\" ( too large for the border )
\n" ); document.write( "Use the neg square root
\n" ); document.write( "\"+x+=+%28+53+-+41+%29%2F4+\"
\n" ); document.write( "\"+x+=+12%2F4+\"
\n" ); document.write( "\"+x+=+3+\"
\n" ); document.write( "and
\n" ); document.write( "\"+23+-+2x+=+23+-+6+\"
\n" ); document.write( "\"+23+-+2x+=+17+\"
\n" ); document.write( "and
\n" ); document.write( "\"+30+-+2x+=+30+-+6+\"
\n" ); document.write( "\"+30+-+2x+=+24+\"
\n" ); document.write( "------------------------------
\n" ); document.write( "The rug is 17 x 24
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\n" ); document.write( "check:
\n" ); document.write( "\"+17%2A24+=+408+\"
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( "
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