# Algebra Examples

, , ,

Step 1

Every rectangle has three different pairs that have the same length. One pair contains the length , another pair contains the width , and the last pair contains the diagonal .

The distance between:

and is

and is

and is

and is

and is

and is

Step 2

The distances between the points show that there are three different pairs that have the same length. One pair contains the length, another pair contains the width, and the last pair contains the diagonal. The diagonal is the longest distance and the width is the shortest distance, which means and .

Step 3

The perimeter of a rectangle is .

Step 4

Step 4.1

Remove parentheses.

Step 4.2

Simplify .

Step 4.2.1

Add and .

Step 4.2.2

Multiply by .

Step 5