# The length of a rectangle is 3 times its width. If the area of the rectangle is #"192 in"^2#, how do you find its perimeter?

##### 1 Answer

The perimeter is

#### Explanation:

**First find the lengths of the sides of the rectangle**

Use the information about

Begin by finding a way to describe each side using math language.

Let

Width . . . . . . . . .

The area is the product of these two sides

[ width ]

[ . .

1) Clear the parentheses by distributing the

2) Divide both sides by

3) Take the square roots of both sides

The width cannot be a negative number, so

Answer:

The width of the rectangle is

So the length must be

**Now use the lengths of the sides of the rectangle to find its perimeter**

Perimeter is the sum of all four sides

[

[... ..

1) Clear the parentheses

2) Add

**Check**

1) The sides should multiply up to an area of