document.write( "Question 549521: A garden measuring 12 meters by 16 meters is to have a pedestrian 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 #357811 by mananth(16946) $\"\"$ $\"About$

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Area of garden = 12*16= 192 sq.m\r
\n" ); document.write( "\n" ); document.write( "lenngth including pathway = 16+2x
\n" ); document.write( "width including pathway = 12+2x\r
\n" ); document.write( "\n" ); document.write( "Total area = (16+2x)(12+2x)\r
\n" ); document.write( "\n" ); document.write( "Total area =285\r
\n" ); document.write( "\n" ); document.write( "(16+2x)(12+2x)=285\r
\n" ); document.write( "\n" ); document.write( "192+32x+24x+4x^2=285
\n" ); document.write( "4x^2+56x+192=285
\n" ); document.write( "4x^2+56x-93=0\r
\n" ); document.write( "\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 $\"sqrt%28%094624%09%29\"$ = 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 pathway = 1.5 m \r
\n" ); document.write( "\n" ); document.write( "m.ananth@hotmail.ca
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