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)\"\" \"About 
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 \"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"\r
\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( " \r
\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( "
\n" );