document.write( "Question 480849: A rectangle has twice the area of a square. The length of the rectangle is 12 cm greater and the width is 8 cm greater than a side of a square . Find the perimeter of the square \n" ); document.write( "
Algebra.Com's Answer #329256 by mananth(16946)![]() ![]() You can put this solution on YOUR website! side of square = x \n" ); document.write( "Are of square = x^2\r \n" ); document.write( "\n" ); document.write( "Rectangle length = (x+12) \n" ); document.write( "rectangle width = (x+8) \n" ); document.write( "Area of rectangle = (x+12)(x+8)\r \n" ); document.write( "\n" ); document.write( "(x+12)(x+8) =2x^2\r \n" ); document.write( "\n" ); document.write( "x^2+20x+96=2x^2 \n" ); document.write( "x^2-20x-96=0 \n" ); document.write( "x^2-24x+4x-96=0 \n" ); document.write( "x(x-24)+4(x-24)=0 \n" ); document.write( "(x-24)(x+4)=0 \n" ); document.write( "ignore negative \n" ); document.write( "x= 24 the side of square \n" ); document.write( "Perimeter of square = 24 *4 = 96cm\r \n" ); document.write( "\n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " |