What is the area of the figure?

The area of this figure is 57 ft ^2.

Step-by-step explanation:

We can solve the area by dividing this figure into 2 pieces.

The left, smaller side can be called sector A.

The bigger, right hand side can be called sector B.

After we find the area of both sectors, we can add them together to find the area of the entire figure.

First, let's find the area of sector A.

To determine the area of a rectangle, we use the following formula:

l x w, or length x width

In this case, the length is 3 feet, and the width is 4 feet.

So our equation is 3 x 4.

3 x 4 = 12

Therefore, Sector A has an area of 12 feet ^2.

Next, let's find the area of sector B

We use the same formula as before, l x w

This time, the length is 6 feet, and the width is 7 1/2 feet, or 7.5 feet.

Our equation is 6 x 7.5.

6 x 7.5 = 45

Therefore, the area of sector B is 45 feet ^2.

The final step is to add the two areas we found together to find the area of the entire figure.

The area of sector A is 12 feet, while the area of sector B is 45 feet.

45 + 12 = 57

Thus, the area of the figure is 57 feet ^2.