Question

find the area of the figure.
the area of the figure is \boxed{} square feet.

Explanation:

Step1: Identify the two shapes (triangle and rectangle)

The figure is composed of a triangle (with base 9 ft and height 8 ft) and a rectangle (with length 9 ft and width 7 ft).

Step2: Calculate the area of the triangle

The formula for the area of a triangle is $A_{triangle} = \frac{1}{2} \times base \times height$.
Substituting the values: $A_{triangle} = \frac{1}{2} \times 9 \times 8 = 36$ square feet.

Step3: Calculate the area of the rectangle

The formula for the area of a rectangle is $A_{rectangle} = length \times width$.
Substituting the values: $A_{rectangle} = 9 \times 7 = 63$ square feet.

Step4: Sum the areas of the two shapes

Total area $A = A_{triangle} + A_{rectangle} = 36 + 63 = 99$ square feet.

Answer:

99