Geometry

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# Perimeter of a Rectangle

## Rectangle Perimeter Formula

**P = 2(l + w)**

Where *P* is the perimeter, *l* is the length, and *w* is the width.

### Example Problems

Problem 1:

Find the perimeter of a rectangle with a length of 12 and width of 5.

Solution:

The length and width are given to us. Let’s plug the given dimensions into the formula.

P = 2(l + w) = 2(12 + 5)

P = 2(17) = 34**The perimeter of the rectangle is 34.**

Problem 2:

A rectangle has a perimeter of 15 and a length of 5. What is the width?

Solution:

Let’s plug the given dimensions into the formula, then isolate *w* to find the width.

P = 2(l + w) → 15 = 2(5 + w)

15 = 10 + 2w

5 = 2w

w = 2.5**The width of the rectangle is 2.5.**