document.write( "Question 1145118: Two rectangles A and B each have an area of 11 cm^2
\n" ); document.write( "The length of rectangle A is x cm
\n" ); document.write( "The length of rectangle B is (x+3) cm
\n" ); document.write( "Given that the width of rectangle A is 2 cm greater than the width of rectangle B form an equation in x and show that it simplifies to
\n" ); document.write( "2x^2 + 6x - 33 = 0
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #766309 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let the width of B = \"+y+\"
\n" ); document.write( "The width of A = \"+y+%2B+2+\"
\n" ); document.write( "-----------------------------------
\n" ); document.write( "(1) \"+y%2Ax+=+11+\"
\n" ); document.write( "(2) \"+%28+y+%2B+2+%29%2A%28+x+%2B+3+%29+=+11+\"
\n" ); document.write( "------------------------------------
\n" ); document.write( "(1) \"+y+=+11%2Fx+\"
\n" ); document.write( "and
\n" ); document.write( "{2} \"+y+%2B+2+=+11%2F%28+x+%2B+3+%29+\"
\n" ); document.write( "(2) \"+y+=+11%2F%28+x+%2B+3+%29+-+2+\"
\n" ); document.write( "------------------------------------
\n" ); document.write( "Set (1) = (2)
\n" ); document.write( "\"+11%2Fx+=+11%2F%28+x+%2B+3+%29+-+2+\"
\n" ); document.write( "Multiply both sides by \"+x%2A%28+x+%2B+3+%29+\"
\n" ); document.write( "\"+11%2A%28+x+%2B+3+%29+=+11x+-+2x%2A%28+x+%2B+3+%29+\"
\n" ); document.write( "\"+11x+%2B+33+=+11x+-+2x%5E2+-+6x+\"
\n" ); document.write( "\"+33+=+-2x%5E2+-+6x+\"
\n" ); document.write( "\"+2x%5E2+%2B+6x+%2B+33+=+0+\"
\n" ); document.write( "--------------------------------
\n" ); document.write( "The sign of the constant term is different. Check my math.
\n" ); document.write( "
\n" ); document.write( "
\n" );