Based on the calculations, the area of the carpet is equal to 40 1/8 square feet.
In Mathematics and Geometry, the area of a rectangle can be calculated by using the following mathematical equation:
A = LW
Where:
- A represent the area of a rectangle.
- W represent the width of a rectangle.
- L represent the length of a rectangle.
By substituting the given side lengths into the formula for the area of a rectangle, we have the following;
Area of living room = 12 1/4 × 5
Area of living room = 61.25 square feet.
Area of tiled floor = 3 1/4 × 6 1/2
Area of tiled floor = 21.125 square feet.
Now, we can determine the area of the carpet;
Area of the carpet = Area of living room - Area of tiled floor
Area of the carpet = 61.25 - 21.125
Area of the carpet = 40.125 or 40 1/8 square feet.