Answer:
128 ft^2. You are correct.
Step-by-step explanation:
The shape of the family room is a smaller rectangle above a larger rectangle.
We need to find the lengths and widths of both rectangles.
The length of the larger rectangle is 12 ft.
The width of the larger rectangle is 9 ft. You can see the sides labeled 12 ft and 9 ft right on the figure.
To find the length and width of the smaller rectangle on the top left, you need to subtract.
The length is 12 ft - 7 ft = 5 ft
The width is 13 ft - 9 ft = 4 ft
Now we find the areas using the lengths and widths, and we add them.
Area of large rectangle = L * W = 12 ft * 9 ft = 108 ft^2
Area of small rectangle = L * W = 5 ft * 4 ft = 20 ft^2
Total area of room:
108 ft^2 + 20 ft^2 = 128 ft^2
Answer: 128 ft^2
