document.write( "Question 802563: a carpenter builds two decks with the same area. One deck is a square, and the other is a rectangle which is 4m longer than the square, but 3m less than the square. What is the area of each deck? \n" ); document.write( "
Algebra.Com's Answer #483922 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Let the side of square be x\r \n" ); document.write( "\n" ); document.write( "Area of square = x^2\r \n" ); document.write( "\n" ); document.write( "length of rectangle=x+4 \n" ); document.write( "Width of rectangle = x-3\r \n" ); document.write( "\n" ); document.write( "Area of rectangle = (x+4)(x-3)\r \n" ); document.write( "\n" ); document.write( "=x^2+x-12\r \n" ); document.write( "\n" ); document.write( "Bothe areas are same\r \n" ); document.write( "\n" ); document.write( "x^2+x-12 = x^2\r \n" ); document.write( "\n" ); document.write( "x-12=0 \n" ); document.write( "x= 12 the side of square\r \n" ); document.write( "\n" ); document.write( "Area = 144 square m\r \n" ); document.write( "\n" ); document.write( "(x+4)(x-3)\r \n" ); document.write( "\n" ); document.write( "(12+4)(12-3) \n" ); document.write( "16*9 \n" ); document.write( "=144 sqm\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |