### Home > GC > Chapter 2 > Lesson 2.3.1 > Problem 2-102

2-102.

**Examine** the rectangle below.

top edge | |

interior rectangle | right edge |

What is the perimeter in terms of

? In other words, find the perimeter.The perimeter is all of the sides added together, or

. If the perimeter is

cm, find the dimensions of the rectangle. Show all your work.

Solve forand then substitute for thein the expressions for the length and the width.Verify that the area of this rectangle is

sq. cm. Explain how you know this. In part (b), You found

. Now find the length and width. The area is equal to the length times the width.