what is the area of this figure? write your answer using decimals, if necessary. square feet

Explanation:

Step1: Divide figure into rectangles and triangle

We can divide the figure into two rectangles and one triangle.

Step2: Calculate area of first rectangle

The first rectangle has length 7 ft and width 3 ft. Area $A_1 = 7\times3=21$ square - feet.

Step3: Calculate area of second rectangle

The second rectangle has length $(6 + 9+10)$ ft and width 4 ft. Area $A_2=4\times(6 + 9+10)=4\times25 = 100$ square - feet.

Step4: Calculate area of triangle

The triangle has base 13 ft and height 10 ft. Area $A_3=\frac{1}{2}\times13\times10 = 65$ square - feet.

Step5: Calculate total area

Total area $A=A_1 + A_2+A_3=21 + 100+65=186$ square - feet.

Answer:

186