what is the area of this figure? square feet

Answer

Explanation:

Step1: Divide the figure into rectangles

We can divide the given figure into two rectangles. One rectangle with dimensions 4 ft by 9 ft and another with dimensions 4 ft by 3 ft.

Step2: Calculate area of first rectangle

The area formula for a rectangle is $A = l\times w$. For the first rectangle with length $l = 9$ ft and width $w = 4$ ft, $A_1=9\times4 = 36$ square - feet.

Step3: Calculate area of second rectangle

For the second rectangle with length $l = 4$ ft and width $w = 3$ ft, $A_2 = 4\times3=12$ square - feet.

Step4: Calculate total area

The total area $A$ of the figure is the sum of the areas of the two rectangles, $A=A_1 + A_2$. So $A=36 + 12=48$ square - feet.