Question

4)
12 ft
11 ft
8 ft
15 ft
area =

Explanation:

Step1: Find the area of the large rectangle

The large rectangle has length \( 12 \, \text{ft} \) and height \( 15 \, \text{ft} \), so its area is \( 12 \times 15 = 180 \, \text{sq ft} \).

Step2: Find the area of the missing rectangle

The missing rectangle has length \( 11 \, \text{ft} \) and height \( 8 \, \text{ft} \), so its area is \( 11 \times 8 = 88 \, \text{sq ft} \).

Step3: Subtract the missing area from the large area

The area of the figure is \( 180 - 88 = 92 \, \text{sq ft} \). Wait, no, maybe another approach. Alternatively, split the figure into two rectangles. The top rectangle: length \( 12 \, \text{ft} \), height \( 15 - 8 = 7 \, \text{ft} \), area \( 12 \times 7 = 84 \). The bottom right rectangle: length \( 12 - 11 = 1 \, \text{ft} \)? No, wait, maybe better to split as: left part and right part. Wait, original figure: the total height is 15, the lower part is 8, so upper part height is \( 15 - 8 = 7 \). The upper rectangle: length 12, height 7, area \( 12 \times 7 = 84 \). The lower rectangle: length is \( 12 - 11 = 1 \)? No, that's wrong. Wait, maybe the correct split is: the figure can be seen as a large rectangle minus a smaller rectangle. Wait, the large rectangle is 12ft (width) and 15ft (height). The smaller rectangle that's missing is 11ft (length) and 8ft (height). Wait, but 12 - 11 = 1, so the right part of the lower section is 1ft? No, maybe I made a mistake. Wait, let's look again. The figure: top part is a rectangle with length 12, and height (15 - 8) = 7. Then the bottom part: the right rectangle has length (12 - 11) = 1? No, that's not right. Wait, maybe the correct way is: the total area is the area of the rectangle with length 12 and height 15, minus the area of the rectangle with length 11 and height 8. So \( 12 \times 15 = 180 \), \( 11 \times 8 = 88 \), \( 180 - 88 = 92 \). Wait, but that seems low. Wait, maybe another split: the figure is composed of two rectangles. The first rectangle: length 12, height (15 - 8) = 7, area \( 12 \times 7 = 84 \). The second rectangle: length (12) - 11 = 1? No, that's 1, times 8? No, that's 8. Then total area 84 + 8 = 92. Wait, but maybe I messed up the dimensions. Wait, the horizontal length: the top is 12, the lower left is 11, so the right part's horizontal length is 12 - 11 = 1. The vertical length of the right part is 8. So the right rectangle is 1 x 8 = 8. The top rectangle is 12 x (15 - 8) = 12 x 7 = 84. Total 84 + 8 = 92. Alternatively, the other way: the bottom rectangle is (12 - 11) x 8 = 8, and the top rectangle is 12 x 15 - 11 x 8? Wait, no, 12 x 15 is 180, 11 x 8 is 88, 180 - 88 = 92. Yes, that's correct.

Answer:

\( 92 \, \text{square feet} \)