document.write( "Question 1009864: A 22ft by 30ft rectangular plot is surrounded by a walkway of uniform width. If the area of the walkway is 224ft2, what is the width of the walkway? \n" ); document.write( "

Algebra.Com's Answer #625342 by josmiceli(19441) $\"\"$ $\"About$

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The area of the plot is:
\n" ); document.write( " $\"+22%2A30+=+660+\"$ ft2
\n" ); document.write( "The area of the walkway + plot =
\n" ); document.write( " $\"+660+%2B+224+=+884+\"$ ft2
\n" ); document.write( "----------------------------
\n" ); document.write( "Let $\"+w+\"$ = the width of the walkway
\n" ); document.write( "Adding this width to both sides of
\n" ); document.write( "the length and width of the plot:
\n" ); document.write( " $\"+%28+22+%2B+2w+%29%2A%28+30+%2B+2w+%29+=+884+\"$
\n" ); document.write( " $\"+660+%2B+60w+%2B+44w+%2B+4w%5E2+=+884+\"$
\n" ); document.write( " $\"+4w%5E2+%2B+104w+-+224+=+0+\"$
\n" ); document.write( " $\"+w%5E2+%2B+26w+-+56+=+0+\"$
\n" ); document.write( "I can see by looking at this:
\n" ); document.write( " $\"+%28+w+%2B+28+%29%2A%28+w+-+2+%29+=+0+\"$
\n" ); document.write( " $\"+w+\"$ can't be negative, so
\n" ); document.write( " $\"+w+=+2+\"$
\n" ); document.write( "The width of the walkway is 2 ft
\n" ); document.write( "------------------------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+%28+22+%2B+2w+%29%2A%28+30+%2B+2w+%29+=+884+\"$
\n" ); document.write( " $\"+%28+22+%2B+2%2A2+%29%2A%28+30+%2B+2%2A2+%29+=+884+\"$
\n" ); document.write( " $\"+%28+22+%2B+4+%29%2A%28+30+%2B+4+%29+=+884+\"$
\n" ); document.write( " $\"+26%2A34+=+884+\"$
\n" ); document.write( " $\"+884+=+884+\"$
\n" ); document.write( "OK \n" ); document.write( "

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