document.write( "Question 982004: Last year Grandpa Jones had a small square garden. This year he has a square garden that is 112 sq feet in area. Each side of the new garden is 2 feet longer than triple each side of the old garden. find the dimensions of each garden? \n" ); document.write( "
Algebra.Com's Answer #602888 by josmiceli(19441)\"\" \"About 
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Let \"+s+\" ft = the side of the 1st garden
\n" ); document.write( "\"+3s+%2B+2+\" ft = the side of the 2nd garden
\n" ); document.write( "given:
\n" ); document.write( "\"+%28+3s+%2B+2+%29%5E2+=+112+\"
\n" ); document.write( "\"+9s%5E2+%2B+12s+%2B+4+=+112+\"
\n" ); document.write( "\"+9s%5E2+%2B+12s+-+108+=+0+\"
\n" ); document.write( "Divide through by \"+3+\"
\n" ); document.write( "\"+3s%5E2+%2B+4s+-+36+=+0+\"
\n" ); document.write( "Use the quadratic formula:
\n" ); document.write( "\"+s+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "\"+a+=+3+\"
\n" ); document.write( "\"+b+=+4+\"
\n" ); document.write( "\"+c+=+-36+\"
\n" ); document.write( "\"+s+=+%28+-4+%2B-+sqrt%28+4%5E2-4%2A3%2A%28-36%29+%29%29%2F%282%2A3%29+\"
\n" ); document.write( "\"+s+=+%28+-4+%2B-+sqrt%28+16+%2B+432+%29%29%2F6+\"
\n" ); document.write( "\"+s+=+%28+-4+%2B-+sqrt%28+448+%29%29+%2F+6+\"
\n" ); document.write( "\"+s+=+%28+-4+%2B+21.166+%29+%2F+6+\"
\n" ); document.write( "\"+s+=+17.166%2F6+\"
\n" ); document.write( "\"+s+=+2.861+\"
\n" ); document.write( "and
\n" ); document.write( "\"+3s+%2B+2+=+8.583+%2B+2+\"
\n" ); document.write( "\"+3s+%2B+2+=+10.583+\"
\n" ); document.write( "The side of the 1st garden is 2.861 ft
\n" ); document.write( "The side of the 2nd garden is 10.583 ft
\n" ); document.write( "------------------------------------
\n" ); document.write( "check:
\n" ); document.write( "\"+3s%5E2+%2B+4s+-+36+=+0+\"
\n" ); document.write( "\"+3%2A2.861%5E2+%2B+4%2A2.861+-+36+=+0+\"
\n" ); document.write( "\"+3%2A8.1853+%2B+11.444+-+36+=+0+\"
\n" ); document.write( "\"+24.5559+-+24.556+=0+\"
\n" ); document.write( "close enough
\n" ); document.write( "Hope I got it!
\n" ); document.write( "
\n" );