# Length and Width of Rectangle Given Area Calculator

If you're struggling to find all those unknowns surrounding rectangles, you're in the right place. **Length and width of rectangle given area calculator will answer** at least part of your questions. You should provide the area and perimeter. Read on to dig deeper into the topic and learn how to find the length and width of a rectangle given area even without a calculator!

## How to find the width and length of a rectangle given area and perimeter?

Let's solve it step by step.

**P** = perimeter,

**A** = area,

**L** = length,

**W** = width.

We know, that

`P (perimeter) = 2L + 2W`

and

`A (area) = L × W`

Let's determine **W** from the first equation.

And now let's use that in the second equation:

Which we can also express as:

Solving the equation above, we will obtain **L**. Then, to find W, we can use

`W = A/L`

or `W = (P/2) - L`

## How to use the length and width of a rectangle given area calculator?

To determine the length and width of a rectangle, you need to:

- Know the area of the rectangle.
- Know the perimeter of the rectangle.
- Type the
**area**and**perimeter**values into the calculator. Don't worry if they come in different units - the calculator will do the length conversion. - Now, you can find both results at the very bottom of the length and width of the rectangle given area calculator.

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## FAQ

### How to find the length of the rectangle given area and width?

To find the length (L) of a rectangle given area (A) and width (W), you need to:

- Know the equation for a rectangle area is
`A = L × W`

- Determine
**L**from that previous equation.`L = A/Q`

To sum up: to find the length of a rectangle, you need to **divide its area by the known width.**

### How to find the width of a rectangle with perimeter and length?

To find the width of a rectangle with a known perimeter and length:

- Determine the equation for perimeter

`Perimeter (P) = 2 × length (L) + 2 × width (W)`

2. Transform the equation:

`P - 2 × L = 2 × W`

'P/2 - L = W`

so that your final formula is:

- That way, you can quickly determine the rectangle's width with perimeter and length given.

### How to determine the length and width of a rectangle given area and perimeter?

To determine length and width of rectangle given area and perimeter:

- State the equations for both
**area (A)**and**perimeter (P)**.

`A = length (L) × width (W)`

`P = 2L + 2W`

- From the first equation, we can also express
**W**as

`W = P/(2-L)`

- Putting this into the second equation will look like this:

`A = L × P/(2-L)`

or

**L ^{2} - L × P/2 + A = 0**

- Solving this equation, we will know
**L**- length. Then we can easily determine**width**as well, knowing that

`A = L × W`

`W = A/L`

### How to find the width of a rectangle given perimeter 16 in and length 5 in?

To find the width of rectangle given perimeter (16 in) and length (5 in):

- Determine the equation for perimeter:

` P(perimeter) = 2 × L (length) + 2 ×W (width)`

2. As we already know the perimeter and length, we can rewrite the equation:

`16 in = 2 × 5 in + 2 × W`

3. Let's solve this equation:

`16 in = 10 in + 2 × W / - 10 in`

`6 in = 2 × W / : 2`

`W = 3 in`

4. The answer is: **width of this rectangle is three inches.**