Examine the rectangle at right.

1. Write an expression for the perimeter in terms of $x$.

   Hint (a):

   The perimeter is all of the sides added together, or $2l + 2w$.

2. Assuming the perimeter is $78$ cm, determine the dimensions of the rectangle. Show all of your work.

   Step (b):

   $6x + 6 = 78$
   $6x = 72$
   Solve for $x$ and then substitute for the $x$ in the expressions for the length and the width.

3. Verify that the area of this rectangle is $360$ sq. cm. Explain how you know this.

• Hint (c):

  In part (b), You found $x$. Now find the length and width.
  The area is equal to the length times the width.