document.write( "Question 1001377: A concrete border is constructed around a rectangular flower bed that is 12ft by 9ft. Find the width of the border if the total area formed by the flower bed and the border is 154ft^2. \n" ); document.write( "

Algebra.Com's Answer #618577 by mananth(16946) $\"\"$ $\"About$

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Let the width of sidewalk be x
\n" ); document.write( "..
\n" ); document.write( "Length of garden = 12 m
\n" ); document.write( "Width = 9 m 315.64
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\n" ); document.write( "Area = 108 m^2
\n" ); document.write( "Area of sidewalk = 46 m^2
\n" ); document.write( "Length of ground + sidewalk = 12 + 2 x
\n" ); document.write( "width of ground + sidewalk = 9 + 2 x
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\n" ); document.write( "( 12 + 2 x ) ( 9 + 2 x ) + -108 = 46
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\n" ); document.write( " 108 + 24 x + 18 x + 4 X^2 + -108 = 46
\n" ); document.write( " 4 X^2 + 42 x + -46 = 0
\n" ); document.write( " Find the roots of the equation by quadratic formula
\n" ); document.write( " a= 4 b= 42 c= -46
\n" ); document.write( " b^2-4ac= 1764 - -736
\n" ); document.write( " b^2-4ac= 2500 $\"sqrt%28%092500%09%29\"$ = 50
\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=( -42 + 50 )/ 8
\n" ); document.write( " x1= 1
\n" ); document.write( " x2=( -42 -50 ) / 8
\n" ); document.write( " x2= -15.5
\n" ); document.write( " Ignore negative value
\n" ); document.write( " width of sidewalk = 1 m
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