document.write( "Question 200792This question is from textbook Elementary and Intermediate Algebra
\n" ); document.write( ": Rectangular stage. One side of a rectangular stage is
\n" ); document.write( "2 meters longer than the other. If the diagonal is 10 meters,
\n" ); document.write( "then what are the lengths of the sides? \n" ); document.write( "
Algebra.Com's Answer #151034 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
): Rectangular stage. One side of a rectangular stage is
\n" ); document.write( "2 meters longer than the other. If the diagonal is 10 meters,
\n" ); document.write( "then what are the lengths of the sides?
\n" ); document.write( "------------
\n" ); document.write( "Draw a rectangle.
\n" ); document.write( "label a short side as \"x\".
\n" ); document.write( "label a long side as \"x+2\"
\n" ); document.write( "label a diagonal as 10 meters
\n" ); document.write( "-------------
\n" ); document.write( "See the right triangle with the diagonal as its hypotenuse?
\n" ); document.write( "Use Pytagoras:
\n" ); document.write( "x^2 + (x+2)^2 = 10^2
\n" ); document.write( "2x^2 + 4x - 96 = 0
\n" ); document.write( "x^2 + 2x - 48 = 0
\n" ); document.write( "Factor:
\n" ); document.write( "(x+8)(x-6) = 0
\n" ); document.write( "Positive solution:
\n" ); document.write( "x = 6 (shorter side)
\n" ); document.write( "x+2 = 8 (longer side)
\n" ); document.write( "===========================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
\n" );