document.write( "Question 165047: If the area of square region having sides of length 6cm is equal to the area of a rectangular region having width 2.5 cms, then the length of the rectangle, in cms is ??????? \n" ); document.write( "
Algebra.Com's Answer #121651 by tutorcecilia(2152)\"\" \"About 
You can put this solution on YOUR website!
The formula for the area of a rectangle and a square is: Area = (length)(width)
\n" ); document.write( "So, Area (square) = (6cm)(6cm)=36cm because all of the sides of a square are equal.
\n" ); document.write( ".
\n" ); document.write( "Since the areas are equal, than:
\n" ); document.write( "A(rectangle)=lw
\n" ); document.write( "36cm=(2.5)(length)
\n" ); document.write( "Solving for \"length\", divide both sides by 2.5cm
\n" ); document.write( "36/2.5=length
\n" ); document.write( "14.4cm=length
\n" ); document.write( "Checking: A(rectangle) = (14.4)(2.5)=36cm
\n" ); document.write( "
\n" ); document.write( "
\n" );