Question

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

Explanation:

Step1: Divide the figure into rectangles and a triangle

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

Step2: Calculate the area of the first rectangle

The first rectangle has dimensions 8 ft by 2 ft. The area formula for a rectangle is $A = l\times w$. So, $A_1=8\times2 = 16$ square - feet.

Step3: Calculate the area of the second rectangle

The second rectangle has dimensions $(14 + 9)$ ft by 3 ft. So, $A_2=(14 + 9)\times3=23\times3 = 69$ square - feet.

Step4: Calculate the area of the triangle

The base of the triangle is 3 ft and the height is 9 ft. The area formula for a triangle is $A=\frac{1}{2}\times b\times h$. So, $A_3=\frac{1}{2}\times3\times9=\frac{27}{2}=13.5$ square - feet.

Step5: Calculate the total area of the figure

The total area $A = A_1+A_2+A_3$. So, $A=16 + 69+13.5=98.5$ square - feet.

Answer:

98.5