document.write( "Question 356156: A rectangle plot of ground measuring 12 meters by 20 meters is surrounded by a sidewalk of uniform width. The area of the sidewalk is 68 square meters. Find the width of the sidewalk \n" ); document.write( "
Algebra.Com's Answer #254258 by mananth(16946)![]() ![]() You can put this solution on YOUR website! ground width = 12 m \n" ); document.write( "length = 20 m \n" ); document.write( ".. \n" ); document.write( "side walk width = xm \n" ); document.write( "... \n" ); document.write( "garden + sidewalk width = 12+2x m \n" ); document.write( "garden+sidewalk length = 20+2x \n" ); document.write( ".. \n" ); document.write( "Area of sidewalk = 68m^2 \n" ); document.write( "(12+2x)(20+2x)-20*12= 68 \n" ); document.write( "240+24x+40x+4x^2-240=68 \n" ); document.write( "4x^2+64x-68=0 \n" ); document.write( "/4 \n" ); document.write( "x^2+16x-17=0 \n" ); document.write( "x^2+17x-x-17=0 \n" ); document.write( "x(x+17)-1(x+17)=0 \n" ); document.write( "(x+17)(x-1)=0 \n" ); document.write( "x=-17 not possible \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( "x= 1m the width of the sidewalk. \n" ); document.write( " |