document.write( "Question 466972: The perimeter of a rectangle is 28cm. Express the area of the rectangle in terms of the width x \n" ); document.write( "
Algebra.Com's Answer #321224 by moshiz08(60)\"\" \"About 
You can put this solution on YOUR website!
Recall that the perimeter is the sum of the lengths of all sides. Also recall that opposite sides of a rectangle have the same length. Therefore \r
\n" ); document.write( "\n" ); document.write( "perimeter = width + length + width + length
\n" ); document.write( "perimeter = 2 * width + 2 * length \r
\n" ); document.write( "\n" ); document.write( "The perimeter is 28 and the width is x, so we have \r
\n" ); document.write( "\n" ); document.write( "28 = 2*x + 2*length \r
\n" ); document.write( "\n" ); document.write( "Now we can solve for the length in terms of x. \r
\n" ); document.write( "\n" ); document.write( "2*length = 28 - 2*x \r
\n" ); document.write( "\n" ); document.write( "length = 14 - x \r
\n" ); document.write( "\n" ); document.write( "Finally since the area is \r
\n" ); document.write( "\n" ); document.write( "Area = length * width \r
\n" ); document.write( "\n" ); document.write( "the final expression in terms of x will be \r
\n" ); document.write( "\n" ); document.write( "Area = (14-x) * x = 14*x - x^2
\n" ); document.write( "
\n" );