document.write( "Question 1134: A border of uniform width is built around a rectangular garden that measuers 29ft. by 44ft. The area of the border is 474ft. Find the width of the border. \n" ); document.write( "
Algebra.Com's Answer #358 by khwang(438)![]() ![]() ![]() You can put this solution on YOUR website! Let the width of the border be x ft. \n" ); document.write( " Since the outer rectangular should be of dimensions 2x+29 and 2x+44. \n" ); document.write( " The area of the border = Area (outer rectangular -inner rectangular) \n" ); document.write( " We have (2x+29)(2x+44) - 29*44 = 474, \n" ); document.write( " Simplify: 4x^2 + 146 x = 474 \n" ); document.write( " Or 2x^2 + 73 x - 237 = 0, \n" ); document.write( " Factoring (2x +79) (x -3) = 0 [Note: 237 =3 * 79] \n" ); document.write( " So, x = 3 or -79/2 (negative ,invalid)\r \n" ); document.write( "\n" ); document.write( " Answer: The uniform width of the border is 3 ft\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |