what is the area of this figure?

Explanation:

Step1: Divide the figure into rectangles

We can divide the given figure into three rectangles.

Step2: Calculate the area of the first rectangle

The first rectangle has dimensions 4 ft by 9 ft. Area $A_1 = 4\times9=36$ square - feet.

Step3: Calculate the area of the second rectangle

The second rectangle has dimensions 2 ft by $(9 - 4 - 2)=3$ ft. Area $A_2 = 2\times3 = 6$ square - feet.

Step4: Calculate the area of the third rectangle

The third rectangle has dimensions 3 ft by $(9 - 3)=6$ ft. Area $A_3=3\times6 = 18$ square - feet.

Step5: Calculate the total area

The total area $A=A_1 + A_2+A_3$. So $A = 36+6 + 18=60$ square - feet.

Answer:

60 square - feet