document.write( "Question 433556: Nick has a beautiful rectangular garden, which measures 3 m by 3 m. He wants to create a uniform border of river rocks around three sides of his garden. If he wants the area of the border and the area of his garden to be equal, how wide should the border be?\r
\n" ); document.write( "\n" ); document.write( "I've got a length of 9 - 2w. And a width of 4.5 However my textbook's got an answer of 0.84 m.\r
\n" ); document.write( "\n" ); document.write( "Please clarify as to what I've done incorrectly by showing all steps.
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Algebra.Com's Answer #300541 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"w\" = the width of the border
\n" ); document.write( "given:
\n" ); document.write( "the area of the garden is \"3%2A3+=+9\" m2
\n" ); document.write( "The dimensions of the garden plus the border are
\n" ); document.write( "\"+%283+%2B+2w%29%2A%283+%2B+w%29+\"
\n" ); document.write( "\"+%283+%2B+2w%29%2A%283+%2B+w%29++=+9+%2B+6w+%2B+3w+%2B+2w%5E2+\"
\n" ); document.write( "\"+2w%5E2+%2B+9w+%2B+9+=+2%2A9+\"
\n" ); document.write( "\"+2w%5E2+%2B+9w+-+9+=+0\"
\n" ); document.write( "use the quadratic formula
\n" ); document.write( "\"w+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "\"a+=+2\"
\n" ); document.write( "\"b+=+9\"
\n" ); document.write( "\"c+=+-9\"
\n" ); document.write( "\"w+=+%28-9+%2B-+sqrt%28+9%5E2-4%2A2%2A%28-9%29+%29%29%2F%282%2A2%29+\"
\n" ); document.write( "\"w+=+%28-9+%2B-+sqrt%28+81+%2B+72+%29%29%2F4+\"
\n" ); document.write( "\"w+=+%28-9+%2B-+sqrt%28+153+%29%29%2F4+\"
\n" ); document.write( "\"w+=+%28-9+%2B+12.369%29%2F4+\"
\n" ); document.write( "\"+w+=+3.369%2F4+\"
\n" ); document.write( "\"+w+=+.842+\" m
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