document.write( "Question 750749: A square yard has a 6-foot wide sidewalk around a square lawn. the sides of the yard, including the sidewalk, have length y. evaluate for y=70, the polynomial that gives the area of the sidewalk. \r
\n" ); document.write( "\n" ); document.write( "I have driven myself in circles on this problem. i originally found the area of the sidewalk to be 420 by multiplying 6*70 but upon further evaluation concluded that was incorrect by finding the area of the yard (70*70) to be 4900 and the area of the lawn (64*64) to be 4096 making the sidewalk take up 804 sqft of space. I am to a point where im thoroughly confused. \n" ); document.write( "

Algebra.Com's Answer #456837 by rothauserc(4718) $\"\"$ $\"About$

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A square yard has a 6-foot wide sidewalk around a square lawn. the sides of the yard, including the sidewalk, have length y. evaluate for y=70, the polynomial that gives the area of the sidewalk. \r
\n" ); document.write( "\n" ); document.write( "the area of the square including the sidewalk is y^2
\n" ); document.write( "the area of the sidewalk is y^2 - (y-12)^2
\n" ); document.write( "y^2 - (y^2 -24y +144)
\n" ); document.write( "y^2 -y^2 +24y -144\r
\n" ); document.write( "\n" ); document.write( "we are left with\r
\n" ); document.write( "\n" ); document.write( "24y - 144 = 24*70 -144 = 1536\r
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