document.write( "Question 725493: Moe, Curly, and Larry are to mow a rectangular lawn that measures 100 feet by 120 feet. Moe is going to mow one-third of the lawn by mowing a strip of uniform width around the outer edge of the lawn. What are the dimensions of the lawn still to be mowed? \n" ); document.write( "
Algebra.Com's Answer #444169 by mananth(16946)\"\" \"About 
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Let the width of sidewalk be x
\n" ); document.write( "..
\n" ); document.write( "Length of garden 120 feet
\n" ); document.write( "width of garden 100 feet
\n" ); document.write( "
\n" ); document.write( "Area = 12000 m^2
\n" ); document.write( "Area of sidewalk 4000 m^2
\n" ); document.write( "length of garden & sidewalk 120 + 2 x
\n" ); document.write( "width of garden & sidewalk 100 + 2 x
\n" ); document.write( "
\n" ); document.write( "( 120 + 2 x ) ( 100 + 2 x ) + -12,000 = 4,000
\n" ); document.write( "
\n" ); document.write( " 12,000 + 240 x + 200 x + 4 X^2 + -12,000 = 4,000
\n" ); document.write( " 4 X^2 + 440 x + -4,000 = 0
\n" ); document.write( " Find the roots of the equation by quadratic formula
\n" ); document.write( " a= 4 b= 440 c= -4,000
\n" ); document.write( " b^2-4ac= 193,600 - -64,000
\n" ); document.write( " b^2-4ac= 257,600 \"sqrt%28%09257%2C600%09%29\"= 508
\n" ); document.write( " \"x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29\"
\n" ); document.write( " \"x1=%28-b%2Bsqrt%28b%5E2-4ac%29%29%2F%282a%29\"
\n" ); document.write( " x1=( -440 + 508 )/ 8
\n" ); document.write( " x1= 8
\n" ); document.write( " x2=( -440 -508 ) / 8
\n" ); document.write( " x2= -16
\n" ); document.write( " Ignore negative value
\n" ); document.write( " width of sidewalk = 8 feet\r
\n" ); document.write( "\n" ); document.write( "dimensions of lawn to be mown .
\n" ); document.write( "length 120-16=104 ft
\n" ); document.write( "width = 100-16=84 ft
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