document.write( "Question 1176501: The length of a rectangle is 13 centimeters less than its width. What are the dimensions of the rectangle if its area is 90 square​ centimeters \n" ); document.write( "
Algebra.Com's Answer #803571 by ikleyn(52776)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "Let w be the width, in centimeters.\r\n" ); document.write( "\r\n" ); document.write( "Then the length is (w+13) cm.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The area equation is\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " w*(w+13) = 90.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Solve it MENTALLY by guessing: w = 5 cm.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Or solve it formally by reducing to a quadratic equation\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " w^2 + 13x - 90 = 0.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "You may factor\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " (w-5)*(w+18) = 0\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "or use the quadratic formula, on your choice.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |