document.write( "Question 630577: The width of a rectangle is 2 ft less than the length. The area is 24ft^2. Find the length and the width \n" ); document.write( "
Algebra.Com's Answer #397013 by Taino(8)![]() ![]() ![]() You can put this solution on YOUR website! Data:\r \n" ); document.write( "\n" ); document.write( "W = L - 2\r \n" ); document.write( "\n" ); document.write( "Area = 24 Ft^2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Equations: \r \n" ); document.write( "\n" ); document.write( "a. Area of a rectangle = W * L\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "b. Quadratic equation \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a. Area = W * L = (L-2) * L = 24 ----> L^2 - 2L - 24 = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "b. Quadratic equation: a = 1, b = -2, c = -24\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "L = 1 +- 5 ----> L = 6 or L = -4, Since this is a rectangle being constructed the measurement cannot be negative and so the only logical answer can be L = 6.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If we now substitute 6 into the width equation which was given we get W=4.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now we can verify that the area is indeed 24 ft^2 = 6*4. \n" ); document.write( " |