document.write( "Question 1046118: A vacant lot is being converted into a community garden. The garden and the walkway around its perimeter have an area of 550 ft2. Find the width of the walkway if the garden is 12 ft wide by 15 ft long. \n" ); document.write( "

Algebra.Com's Answer #661613 by josmiceli(19441) $\"\"$ $\"About$

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Let the width of the walkway = $\"+x+\"$ ft
\n" ); document.write( " $\"+%28+12+%2B+2x+%29%2A%28+15+%2B+2x+%29+=+550+\"$
\n" ); document.write( "Note that you have to add $\"+x+\"$ on BOTH sides
\n" ); document.write( "of the length and width
\n" ); document.write( " $\"+180+%2B+30x+%2B+24x+%2B+4x%5E2+=+550+\"$
\n" ); document.write( " $\"+4x%5E2+%2B+54x+-+370+=+0+\"$
\n" ); document.write( " $\"+2x%5E2+%2B+27x+-+185+=+0+\"$
\n" ); document.write( "use quadratic formula
\n" ); document.write( " $\"+x+=+%28+-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+\"$
\n" ); document.write( " $\"+a+=+2+\"$
\n" ); document.write( " $\"+b+=+27+\"$
\n" ); document.write( " $\"+c+=+-185+\"$
\n" ); document.write( " $\"+x+=+%28+-27+%2B-+sqrt%28+27%5E2+-+4%2A2%2A%28-185%29+%29%29+%2F+%282%2A2%29+\"$
\n" ); document.write( " $\"+x+=+%28+-27+%2B-+sqrt%28+729+%2B+1480+%29%29+%2F+4+\"$
\n" ); document.write( " $\"+x+=+%28+-27+%2B-+sqrt%28+2209+%29%29+%2F+4+\"$
\n" ); document.write( " $\"+x+=+%28+-27+%2B+47+%29+%2F+4+\"$
\n" ); document.write( " $\"+x+=+20%2F4+\"$
\n" ); document.write( " $\"+x+=+5+\"$
\n" ); document.write( "The width of the walkway is 5 ft
\n" ); document.write( "--------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+%28+12+%2B+2x+%29%2A%28+15+%2B+2x+%29+=+550+\"$
\n" ); document.write( " $\"+%28+12+%2B+2%2A5+%29%2A%28+15+%2B+2%2A5+%29+=+550+\"$
\n" ); document.write( " $\"+%28+12+%2B+10+%29%2A%28+15+%2B+10+%29+=+550+\"$
\n" ); document.write( " $\"+22%2A25+=+550+\"$
\n" ); document.write( " $\"+550+=+550+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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