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To solve the problem, we need to find the area of Marlena's living room floor that is not covered by the rug.

### Step 1: Find the area of the living room floor
The living room floor is a square with a side length of 12 feet.
\[
\text{Area of the floor} = 12 \times 12 = 144 \text{ square feet}
\]

### Step 2: Find the area of the rug
The rug is a square with a side length of 9 feet.
\[
\text{Area of the rug} = 9 \times 9 = 81 \text{ square feet}
\]

### Step 3: Find the area not covered by the rug
The area not covered by the rug is the difference between the area of the floor and the area of the rug.
\[
\text{Area not covered} = 144 - 81 = 63 \text{ square feet}
\]

Therefore, the correct answer is **63 square feet**.

Would you like further details or explanations?

### Related Questions
1. How do you calculate the area of a rectangle?
2. What happens if the rug and floor have different shapes?
3. How would the problem change if the rug wasn't a square?
4. What if we had a circular rug on a square floor—how would you calculate the uncovered area?
5. Can you calculate the area covered if the rug was rotated?

### Tip
Always make sure to subtract smaller areas from larger ones to find the uncovered space.

Marlena places a square rug on her living room floor, which is also a square. What area of her floor is NOT covered by the rug?

Learn how to calculate the area of a square living room floor that is not covered by a square rug. This problem involves finding the areas of both squares and subtracting them to get the uncovered area. Suitable for students in Grades 5-7.

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