document.write( "Question 526032: A city wants to double the area of a rectangular playground that is 72 feet by 48 feet by adding the same distance X to the length and the width. Write and solve an equation to find the value of X. \n" ); document.write( "
Algebra.Com's Answer #348297 by mananth(16946)![]() ![]() You can put this solution on YOUR website! 72*48 =3456\r \n" ); document.write( "\n" ); document.write( "(72+x)(48+x)=2*3456\r \n" ); document.write( "\n" ); document.write( "3456+72x+48x+x^2=6912 \n" ); document.write( "x^2+120x+3456=6912 \n" ); document.write( "x^2+120x-3456-0 \n" ); document.write( "x^2+144x-24x-3456=0 \n" ); document.write( "x(x+144)-24(x+144)=0 \n" ); document.write( "(x+144)(x-24)=0\r \n" ); document.write( "\n" ); document.write( "x= 24 which is positive. \n" ); document.write( " |