Math Snap

STEP 1

What is this asking?
Find the total distance around the L-shaped figure by adding up all the side lengths.
Watch out!
Don't forget to include any missing sides that aren't labeled in the image!

STEP 2

1. Identify all side lengths
2. Calculate missing side lengths
3. Add all side lengths

STEP 3

Alright, let's start by listing the side lengths we know from the image: 4, 9, 2, and 12.
These are the lengths given, but remember, we need to find the lengths of the missing sides to complete the perimeter!

STEP 4

Now, let's figure out the missing sides.
The L-shape has two sides that aren't labeled.
We'll need to use the given lengths to find these.

STEP 5

First, let's find the vertical missing side.
We know the total vertical length of the figure is the sum of the two vertical sides: $4 + \text{missing side} = 12$.
So, the missing vertical side is:
$$\text{missing side} = 12 - 4 = 8$$

STEP 6

Next, let's find the horizontal missing side.
The total horizontal length is the sum of the two horizontal sides: $9 + \text{missing side} = 9 + 2$.
So, the missing horizontal side is:
$$\text{missing side} = 9 + 2 - 9 = 2$$

STEP 7

Now, let's add up all the side lengths to find the perimeter.
We have the following lengths: 4, 9, 2, 12, 8, and 2.
So, the perimeter $P$ is:
$$P = 4 + 9 + 2 + 12 + 8 + 2$$

STEP 8

Let's calculate that:
$$P = 4 + 9 + 2 + 12 + 8 + 2 = 37$$

The perimeter of the L-shaped figure is 37.