# What are the dimensions of a rectangle which has a perimeter of #48 cm#, if its length is #12 cm# longer than twice its width?

##### 3 Answers

Width:

Length:

#### Explanation:

Recall that the perimeter of a rectangle is twice the sum of its length and width

So we have

We are also given that the length of the rectangle in question is 12cm longer than twice it width

Then

Then we can plug in

And simplify

Since we know that the perimeter is 48 cm we can say

Then we can plug that in to find l

Width =

Length =

#### Explanation:

**Set:**

**Translate words into equations:**

Equation 1:

Equation 2:

**Insert equation 1 into equation 2**

**Find y through equation 1**

The width is

#### Explanation:

We are told how the length of the rectangle is related to the width, so we can use one variable to define both sides.

Let the width be

The the length is

The perimeter is the sum of two widths and two lengths.

The width is