document.write( "Question 548614: You have just planted a rectangular flower bed of roses in a city park. You want to plant a border of yellow roses around the flower bed as shown (8ft * 12ft). Because you bought the same number of red and yellow roses, the areas of the border should be equal. What should the width of the border of the yellow roses be? \n" ); document.write( "

Algebra.Com's Answer #357108 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
\n" ); document.write( "Width = 8
\n" ); document.write( "
\n" ); document.write( "Area = 96 M^2
\n" ); document.write( "Area of sidewalk = 96 M^2
\n" ); document.write( "Length of ground + sidewalk = 12
\n" ); document.write( "width of ground + sidewalk = 12+2x
\n" ); document.write( "
\n" ); document.write( "(12+2x)(8+2x)-96=96
\n" ); document.write( "96+24x+16x+4X^2 -96=96
\n" ); document.write( "4X^2+40x-96=0
\n" ); document.write( "/4
\n" ); document.write( "x^2+10x-24=0
\n" ); document.write( "x^2+12x-2x-24=0
\n" ); document.write( "x(x+12)-2(x+12)=0
\n" ); document.write( "(x-2)(x+12)=0
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " Ignore negative value
\n" ); document.write( "width = 2ft
\n" ); document.write( " \n" ); document.write( "

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