document.write( "Question 183956: The length of a rectangle is 3 feet more than twice its width, and 2 feet less than a diagonal's length. Find the length of the diagonal in simplest radical form. \n" ); document.write( "
Algebra.Com's Answer #137996 by stanbon(75887) ![]() You can put this solution on YOUR website! The length of a rectangle is 3 feet more than twice its width, and 2 feet less than a diagonal's length. Find the length of the diagonal in simplest radical form. \n" ); document.write( "--------------- \n" ); document.write( "Let width = W. \n" ); document.write( "Then Length = \"2W+3\" \n" ); document.write( "--------------------------- \n" ); document.write( "Equation: \n" ); document.write( "diagonal^2 = leg^2 + leg^2 \n" ); document.write( "d^2 = x^2 + (2x+3)^2 \n" ); document.write( "d^2 = x^2 + 4x^2 + 12x + 9 \n" ); document.write( "d^2 = 5x^2 + 12x + 9 \n" ); document.write( "----- \n" ); document.write( "d = sqrt(5x^2+12x+9) \n" ); document.write( "=========================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |