Question

12 ft, 8, ft, 20 ft, 40 ft, 96 ft, 6 ft

Explanation:

Step1: Recall rectangle perimeter formula

The perimeter \( P \) of a rectangle is given by \( P = 2(l + w) \), where \( l \) is length and \( w \) is width. Wait, no—wait, maybe it's area? Wait, the figure has a top labeled 12 ft, right side 8 ft, and bottom with a variable. Wait, maybe it's area? Wait, the top is 12 ft, right side 8 ft, and maybe the area is 96? Wait, no, the bottom is labeled with a variable, and the top is 12? Wait, no, maybe I misread. Wait, the rectangle: let's check the numbers. Wait, maybe it's a rectangle where the top is 12 ft, right side 8 ft? No, that can't be. Wait, maybe the top is 12, the right is 8, and the bottom is \( x \), and the area? Wait, no, the options are 20,40,96,6. Wait, maybe it's a rectangle with length \( x \), width 8, and the top has 12? No, maybe it's a perimeter? Wait, no, let's think again. Wait, maybe the figure is a rectangle with length \( x \), width 8, and the top has 12? No, that doesn't make sense. Wait, maybe it's a rectangle where the area is 96? Wait, area of rectangle is \( A = l \times w \). If one side is 12, and the other is 8? No, 128=96. Wait, but the bottom is labeled \( ft \), and the options include 96? Wait, no, the options are 20,40,96,6. Wait, maybe the top is 12, right side 8, and the bottom is \( x \), and the perimeter? No, perimeter would be \( 2(12 + 8)=40 \), but that's not an option. Wait, no, maybe it's a different approach. Wait, maybe the figure is a rectangle with length \( x \), width 8, and the top has 12? No, maybe it's a rectangle where the area is 96, and one side is 12, so the other side is \( 96 \div 12 = 8 \), but that's not helpful. Wait, no, the options include 96. Wait, maybe the problem is about the perimeter? No, let's check the numbers again. Wait, the top is 12 ft, right side 8 ft, and the bottom is \( x \), and the left side is 12? No, that can't be. Wait, maybe it's a rectangle with length \( x \), width 8, and the area is 96? Then \( x \times 8 = 96 \), so \( x = 96 \div 8 = 12 \), but that's not an option. Wait, no, I must have misread. Wait, the top is 12 ft, right side 8 ft, and the bottom is \( x \), and the left side is \( x \)? No, that would be a rectangle with length \( x \), width 8, and top 12? No, that's inconsistent. Wait, maybe the figure is a rectangle with length 12, width 8, and the perimeter? No, perimeter is 40, which is an option. Wait, 2(12+8)=40. Oh! Wait, the perimeter of a rectangle is \( 2(l + w) \). If length is 12, width is 8, then perimeter is \( 2(12 + 8)=220=40 \). Wait, no, 12+8=20, times 2 is 40. So the perimeter would be 40 ft. So the bottom length is part of the perimeter? Wait, no, the rectangle has two lengths and two widths. So if one length is 12, one width is 8, then the other length is 12, other width is 8. But the bottom is labeled with a variable, maybe the total length? No, maybe the problem is about the perimeter, and the bottom is the length, but no, the options include 40. So step 1: identify the formula for perimeter of rectangle: \( P = 2(l + w) \). Step 2: plug in \( l = 12 \), \( w = 8 \). Then \( P = 2(12 + 8) = 220 = 40 \). So the answer is 40 ft.

Step2: Calculate perimeter

Using \( P = 2(l + w) \), where \( l = 12 \) ft, \( w = 8 \) ft.
\( P = 2(12 + 8) = 2 \times 20 = 40 \) ft.

Answer:

40 ft (corresponding to the option with 40 ft, e.g., the option labeled "40 ft")