document.write( "Question 148013: One side of a rectangular stage is 2 meters longer than the other.If the diagonal is 10 meters, then what are the lenghths of the sides? \n" ); document.write( "
Algebra.Com's Answer #108399 by nerdybill(7384)\"\" \"About 
You can put this solution on YOUR website!
One side of a rectangular stage is 2 meters longer than the other.If the diagonal is 10 meters, then what are the lenghths of the sides?
\n" ); document.write( ".
\n" ); document.write( "Let W=width of rectangular stage
\n" ); document.write( "W+2 = length of rectangular stage
\n" ); document.write( ".
\n" ); document.write( "Now, since the we have a \"right angle\" at the corner of the rectangular stage, we can apply Pythagorean theorem:
\n" ); document.write( "W^2 + (W+2)^2 = 10^2
\n" ); document.write( "W^2 + W^2 + 4W + 4 = 100
\n" ); document.write( "2W^2 + 4W - 96 = 0
\n" ); document.write( "dividing through by 2:
\n" ); document.write( "W^2 + 2W - 48 = 0
\n" ); document.write( "factoring:
\n" ); document.write( "(W-6)(W+8) = 0
\n" ); document.write( "The two solutions are {6, -8}
\n" ); document.write( "We can toss out the negative solution since that does not make sense.
\n" ); document.write( "Therefore we have:
\n" ); document.write( "W= 6 meters (width)
\n" ); document.write( "W+2 = 6+2 = 8 meters (length) \n" ); document.write( "
\n" );