document.write( "Question 1107461: The Hillcrest Garden Club wants to double the area of its rectangular rose bed. Strips of the same width will be added to one end and one side to form a rectangle. If the bed is now 17.5m by 12.2m, what are the dimensions of the new bed? \n" ); document.write( "
Algebra.Com's Answer #722701 by Theo(13342)![]() ![]() You can put this solution on YOUR website! the area of the original rectangle is 12.2 * 17.5 = 213.5 square meters.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the new rectangle will have a length of 12.2 + x and a width of 17.5 + x.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the new area will be 2 *( 231.5 = 427 square meters.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you get (12.2 + x) * (17.5 + x) = 427.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solve this quadratic equation to get x = 5.9832066662876.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your new width will be 18.18320667.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your new length will be 23.48320667.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your new area will be 427 square meters.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a picture of what your new rectangle will look like is shown below:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the original rectangle is ABCD.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the new rectangle is EFGD.\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( "\n" ); document.write( " \n" ); document.write( " |