Use the image to answer the question.

Question

A composite shape is drawn, starting with a horizontally aligned rectangle. There is no measurement across the top, and the right side is labeled with a question mark. A horizontally aligned rectangular area marked as 8 feet in length and unknown in width is removed from the bottom left of the original rectangle. The remaining length on the right side is 2 feet. The remaining width on the left side is 3 feet. Corners are marked with right angles.

Tessa designs a supply closet as an addition to her house. The closet is pictured, and its total area is 36 square feet. What is the length in feet of the side of the supply closet labeled with the question mark?(1 point)
feet

Answer 1

To find the length of the side of the supply closet labeled with the question mark, we need to first understand the information provided:

1. The total area of the supply closet is 36 square feet.
2. The remaining width on the left side of the rectangle is 3 feet.
3. The remaining length on the right side of the rectangle is 2 feet.

From the description, it seems like we can consider the area of the supply closet comprised of the rectangle with the removed area.

The area of a rectangle is calculated as:

\[ \text{Area} = \text{Length} \times \text{Width} \]

In this case, we can set up an equation for the total area of the supply closet:

Let \( x \) be the unknown length labeled with the question mark.

So, the area of the closet can be expressed as:

\[ \text{Area} = \text{Width} \times \text{Length} = 3 \text{ feet} \times x \]

We know this area equals 36 square feet:

\[ 3 \times x = 36 \]

To find \( x \), we can divide both sides by 3:

\[ x = \frac{36}{3} = 12 \]

Thus, the length in feet of the side of the supply closet labeled with the question mark is:

\[ \boxed{12} \]