document.write( "Question 1179812: the length of a rectangular sheet of paper is 1 cm more than twice the width and the area of the rectangle is 55 square centimeters. find the dimensions of the rectangular sheet of paper \n" ); document.write( "

Algebra.Com's Answer #809398 by greenestamps(13200) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "Mentally, in a few seconds:

\n" ); document.write( "55 = 11*5; 11cm is 1cm more than twice 5cm.

\n" ); document.write( "Algebraically....

\n" ); document.write( "x = width
\n" ); document.write( "2x+1 = length
\n" ); document.write( " $\"x%282x%2B1%29=55\"$
\n" ); document.write( " $\"2x%5E2%2Bx-55=0\"$
\n" ); document.write( " $\"%282x%2B11%29%28x-5%29=0\"$

\n" ); document.write( "x = -11/2 or x = 5; obviously the negative solution for the width is nonsense.

\n" ); document.write( "ANSWER: width = x = 5cm; length = 2x+1 = 11cm

\n" ); document.write( " \n" ); document.write( "

\n" );