document.write( "Question 1038558: The length of rectangular garden exceeds three times the width by 12 meters. The area of the garden is 180m^2 find the dimension of the garden \n" ); document.write( "
Algebra.Com's Answer #653268 by josmiceli(19441)\"\" \"About 
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Let \"+w+\" = width of garden in meters
\n" ); document.write( "\"+3w+%2B+12+\" = length in meters
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\n" ); document.write( "\"+w%2A%28+3w+%2B+12+%29+=+180+\"
\n" ); document.write( "\"+3w%5E2+%2B+12w+=+180+\"
\n" ); document.write( "\"+w%5E2+%2B+4w+-+60+=+0+\"
\n" ); document.write( "\"+%28+w+%2B+10+%29%2A%28+w+-+6+%29+=+0+\" ( by inspection )
\n" ); document.write( "\"+w+=+-10+\" ( can't use -width must be positive )
\n" ); document.write( "\"+w+=+6+\"
\n" ); document.write( "and
\n" ); document.write( "\"+3w+%2B+12+=+3%2A6+%2B+12+\"
\n" ); document.write( "\"+3w+%2B+12+=+30+\"
\n" ); document.write( "-------------------
\n" ); document.write( "The dimensions are: 6 m by 30 m
\n" ); document.write( "--------------
\n" ); document.write( "check:
\n" ); document.write( "\"+6%2A30+=+180+\" m2
\n" ); document.write( "OK\r
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