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)![]() ![]() 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( " |