document.write( "Question 129955: A rectangle table top has an area f 60 squre feet. LENGTH IS ONE FOOT LESS THAN 4 TIMES THE WIDTH, FIND THE DIMENSIONS. \n" ); document.write( "
Algebra.Com's Answer #94905 by josmiceli(19441)\"\" \"About 
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Let \"A\"=area
\n" ); document.write( "Let \"w\"=width
\n" ); document.write( "Let \"l\"=length
\n" ); document.write( "\"A+=+60\"
\n" ); document.write( "\"A+=+w%2Al\"
\n" ); document.write( "\"l+=+4w+-+1\"
\n" ); document.write( "\"A+=+w%2A%284w+-+1\"
\n" ); document.write( "\"60+=+w%2A%284w+-+1%29\"
\n" ); document.write( "\"60+=+4w%5E2+-+w\"
\n" ); document.write( "\"4w%5E2+-+w+-+60+=+0\"
\n" ); document.write( "Use the quadratic formula to find roots
\n" ); document.write( "\"w+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "This is used when equation is in the form
\n" ); document.write( "\"aw%5E2+%2B+bw+%2B+c+=+0\"
\n" ); document.write( "\"a+=+4\"
\n" ); document.write( "\"b+=+-1\"
\n" ); document.write( "\"c+=+-60\"
\n" ); document.write( "\"w+=+%28-%28-1%29+%2B-+sqrt%28+%28-1%29%5E2-4%2A4%2A%28-60%29+%29%29%2F%282%2A4%29+\"
\n" ); document.write( "\"w+=+%281+%2B-+sqrt%28+1+%2B+960+%29%29%2F+8+\"
\n" ); document.write( "\"w+=+%281+%2B-+31%29+%2F+8\"
\n" ); document.write( "\"w+=+%281+%2B+31%29+%2F+8\"
\n" ); document.write( "\"w+=+32%2F8\"
\n" ); document.write( "\"w+=+4\"
\n" ); document.write( "\"w+=+%281+-+31%29+%2F+8\"
\n" ); document.write( "This gives a negative answer, so I can't use it
\n" ); document.write( "\"l+=+4w+-+1\"
\n" ); document.write( "\"l+=+4%2A4+-+1\"
\n" ); document.write( "\"l+=+15\"
\n" ); document.write( "The dimensions are 4 x 15
\n" ); document.write( "check answer:
\n" ); document.write( "\"60+=+w%2A%284w+-+1%29\"
\n" ); document.write( "\"60+=+4%2A%2816+-+1%29\"
\n" ); document.write( "\"60+=+4%2A15\"
\n" ); document.write( "\"60+=+60\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );