Question

Question was provided via image upload.

Explanation:

Step1: Divide the figure into three rectangles

We can divide the given figure into three rectangles.

Step2: Calculate the area of each rectangle

• For the top - rectangle: The area formula for a rectangle is \(A = l\times w\). Here, \(l = 6\) ft and \(w = 4\) ft. So, \(A_1=6\times4 = 24\) square feet.
• For the middle - rectangle: \(l = 4\) ft and \(w=(12-(4 + 4))=4\) ft. So, \(A_2 = 4\times4=16\) square feet.
• For the bottom - rectangle: \(l = 6\) ft and \(w = 4\) ft. So, \(A_3=6\times4 = 24\) square feet.

Step3: Sum up the areas of the three rectangles

The total area \(A=A_1 + A_2+A_3\). Substitute the values: \(A = 24+16 + 24\).

Answer:

\(64\) square feet