document.write( "Question 918892: A ladder of length 2x+2 feet is positioned against a wall such that the bottom is x-2 feet away from the wall. The distance between the floor and the top of the ladder is 2x feet. \r
\n" ); document.write( "\n" ); document.write( "Find the length in feet \n" ); document.write( "
Algebra.Com's Answer #557310 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
A ladder of length 2x+2 feet is positioned against a wall such that the bottom is x-2 feet away from the wall. The distance between the floor and the top of the ladder is 2x feet.
\n" ); document.write( " Find the length in feet
\n" ); document.write( "---------------------
\n" ); document.write( "Draw the picture.
\n" ); document.write( "You have a right triangle with:
\n" ); document.write( "hypotenuse = 2x+2
\n" ); document.write( "base = x-2
\n" ); document.write( "height = 2x
\n" ); document.write( "-------------------
\n" ); document.write( "Use Pythagoras to solve for \"x\"::
\n" ); document.write( "(2x+2)^2 = (x-2)^2 + (2x)^2
\n" ); document.write( "----
\n" ); document.write( "4x^2 + 8x + 4 = x^2 - 4x + 4 + 4x^2
\n" ); document.write( "-------------------
\n" ); document.write( "x^2 -12x = 0
\n" ); document.write( "x(x-12) = 0
\n" ); document.write( "Positive solution::
\n" ); document.write( "x = 12 ft
\n" ); document.write( "---
\n" ); document.write( "Ans: Length of the ladder = 2x+2 = 26 ft.
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "--------------------- \n" ); document.write( "
\n" );