document.write( "Question 549292: A garden measuring 12 meters by 16 meters is to have a pedestrain pathway installed all around it, increasing the total area to 285 square meters. What will be the width of the pathway?. \n" ); document.write( "

Algebra.Com's Answer #357597 by mananth(16946) $\"\"$ $\"About$

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Let the width of sidewalk be x
\n" ); document.write( "..
\n" ); document.write( "Length of garden = 16 m
\n" ); document.write( "Width =12m
\n" ); document.write( "285-96=189 m^2
\n" ); document.write( "Area =96m^2
\n" ); document.write( "Area of sidewalk =189 m^2
\n" ); document.write( "Length of ground + sidewalk =16
\n" ); document.write( "width of ground + sidewalk = 12+2x
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\n" ); document.write( "( 16+2x )(12+2x )-189=96
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\n" ); document.write( "192+32x +24x+4X^2-189 = 96
\n" ); document.write( "4X^2+56 x-93= 0
\n" ); document.write( "Find the roots of the equation by quadratic formula
\n" ); document.write( " a= 4 b= 56 c= -93
\n" ); document.write( " b^2-4ac= 3136 + 1488
\n" ); document.write( " b^2-4ac= 4624
\n" ); document.write( " $\"sqrt%28%094624%09%29\"$ = 68
\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=( -56 + 68 )/ 8
\n" ); document.write( " x1= 1.5
\n" ); document.write( " x2=(-56 -68) / 8
\n" ); document.write( " x2= -15.5
\n" ); document.write( " Ignore negative value
\n" ); document.write( " width of sidewalk = 1.5 m
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