document.write( "Question 1114178: The dimensions of a door are 3 ft wide by 7 ft 6 in high. If the same amount is added to each dimension of the door, the area is increased by 58 ft2. Find the dimensions of the new door \n" ); document.write( "
Algebra.Com's Answer #729189 by mananth(16946)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "The dimensions of a door are 3 ft wide by 7 ft 6 in high. \n" ); document.write( "Original area = 3*7.5 = 22.5 ft^2\r \n" ); document.write( "\n" ); document.write( "let x be added to each dimension of the door, \n" ); document.write( "New dimensions are (3+x) and (7.5+x)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the area is increased by 58 ft2. \r \n" ); document.write( "\n" ); document.write( "(3+x)(7.5+x) = 22.5+58\r \n" ); document.write( "\n" ); document.write( "22.5 + 3x +7.5x+x^2 = 22.5+58\r \n" ); document.write( "\n" ); document.write( "x^2+10.5x -58=0\r \n" ); document.write( "\n" ); document.write( "solve the quadratic by formula method. \n" ); document.write( "the positive root is 4\r \n" ); document.write( "\n" ); document.write( "New dimensions are \n" ); document.write( "7 ft wide and 11.5 ft height\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |