A floor is 10m long and 6m wide. A square carpet of side 7m is laid on the floor. Find the area of the floor that is not carpeted.

Answer

To find the area of the floor that is not carpeted, we will follow these steps:

### Step 1: Calculate the area of the floor
The area of a rectangle is calculated using the formula:
\[ \text{Area} = \text{Length} \times \text{Width} \]
Given that the length of the floor is 10 meters and the width is 6 meters, we can calculate the area as follows:
\[ \text{Area of the floor} = 10 \, \text{m} \times 6 \, \text{m} = 60 \, \text{m}^2 \]

### Step 2: Calculate the area of the carpet
The area of a square is calculated using the formula:
\[ \text{Area} = \text{Side}^2 \]
Given that the side of the square carpet is 7 meters, we can calculate the area as follows:
\[ \text{Area of the carpet} = 7 \, \text{m} \times 7 \, \text{m} = 49 \, \text{m}^2 \]

### Step 3: Calculate the area of the floor that is not carpeted
To find the area of the floor that is not covered by the carpet, we subtract the area of the carpet from the area of the floor:
\[ \text{Area of the floor not carpeted} = \text{Area of the floor} - \text{Area of the carpet} \]
Substituting the values we calculated:
\[ \text{Area of the floor not carpeted} = 60 \, \text{m}^2 - 49 \, \text{m}^2 = 11 \, \text{m}^2 \]

### Final Answer
The area of the floor that is not carpeted is \( 11 \, \text{m}^2 \).

---