### Home > CC4 > Chapter 3 > Lesson 3.1.3 > Problem 3-33

3-33.

Write an expression for the perimeter in terms of

*x*.The perimeter is all of the sides added together, or 2

*l*+ 2*w*.Assuming the perimeter is 78 cm, determine the dimensions of the rectangle. Show all of your work.

6

*x*+ 6 = 78

6*x*= 72

Solve for*x*and then substitute for the*x*in the expressions for the length and the width.Verify that the area of this rectangle is 360 sq. cm. Explain how you know this.

In part (b), You found

*x*. Now find the length and width.

The area is equal to the length times the width.