document.write( "Question 1037981: A 16 ft by 18 ft rectangular garden is to have a gravel path of uniform width bordering it. How wide is the path if the total area covered by the garden and path is 440 ft2? \n" ); document.write( "
Algebra.Com's Answer #652656 by josmiceli(19441)\"\" \"About 
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Let \"+w+\" = the width in ft of the path
\n" ); document.write( "Including the path, the dimensions
\n" ); document.write( "of the garden are:
\n" ); document.write( "\"+16+%2B+2w+\" and \"+18+%2B+2w+\"
\n" ); document.write( "The area, \"+A+\", is:
\n" ); document.write( "\"+A+=+%28+16+%2B+2w+%29%2A%28+18+%2B+2w+%29+\"
\n" ); document.write( "\"+A+=+288+%2B+36w+%2B+32w+%2B+4w%5E2+\"
\n" ); document.write( "\"+4w%5E2+%2B+68w+%2B+288+=+440+\"
\n" ); document.write( "\"+4w%5E2+%2B+68w+-+152+\"
\n" ); document.write( "\"+w%5E2+%2B+17w+-+38+=+0+\"
\n" ); document.write( "\"+%28+w+%2B+19+%29%2A%28+w+-+2+%29+=+0+\" ( by inspection )
\n" ); document.write( "\"+w+=+2+\" ( width must be positive )
\n" ); document.write( "-------------------------------
\n" ); document.write( "The path is 2 ft wide
\n" ); document.write( "-------------------------
\n" ); document.write( "check:
\n" ); document.write( "\"+A+=+%28+16+%2B+2w+%29%2A%28+18+%2B+2w+%29+\"
\n" ); document.write( "\"+A+=+%28+16+%2B+2%2A2+%29%2A%28+18+%2B+2%2A2+%29+\"
\n" ); document.write( "\"+A+=+20%2A22+\"
\n" ); document.write( "\"+A+=+440+\" ft2
\n" ); document.write( "OK
\n" ); document.write( "
\n" );