document.write( "Question 249624: The side of a square equals the length of a rectangle. The width of the rectangle is 4 meters longer than its length. The sum of the ares of the square and the rectangle is 240 square centimeters. Find the side of the square. \n" ); document.write( "
Algebra.Com's Answer #181781 by checkley77(12844) ![]() You can put this solution on YOUR website! SQUARE AREA=X^2 \n" ); document.write( "RECTANGLE AREA=LW \n" ); document.write( "L=X \n" ); document.write( "W=L+4 \n" ); document.write( "L^2+L(L+4)=240 \n" ); document.write( "L^2+L^2+4L-240=0 \n" ); document.write( "2L^2+4L-240=0 \n" ); document.write( "2(L^2+2L-120)=0 \n" ); document.write( "2(L+12)(L-10)=0 \n" ); document.write( "L-10=0 \n" ); document.write( "L=10 LENGTH OF THE SIDES OF THE SQUARE. \n" ); document.write( "AREA OF THE SQUARE=10^1=100 \n" ); document.write( "W=10+4=14 IS THE WIDTH OF THE RECTANGLE. \n" ); document.write( "AREA OF THE RECTANGLE=10*14=140 \n" ); document.write( "PROOF: \n" ); document.write( "10^2+10*14=240 \n" ); document.write( "100+140=240 \n" ); document.write( "240=240\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |