Tessa designs a supply closet as an addition to her house. The closet is pictured, and its total area is 36 square feet. What is the length in feet of the side of the supply closet labeled with the question mark?(1 point)

Question

 feet ________

The image shows: a rectangle. The bottom of the rectangle is 8 ft. The side is 3 ft. The next shape is a square. The bottom of the square is 2 ft the side of the square is also 2 ft

Answer 1

To find the length of the side of the supply closet labeled with the question mark, we need to first determine the areas of the shapes provided and ensure they total 36 square feet.

You mentioned a rectangle and a square. From the details:

1. Rectangle:

   • Length = 8 ft
   • Width = 3 ft
   • Area = Length × Width = 8 ft × 3 ft = 24 sq ft

2. Square:

   • Side = 2 ft
   • Area = Side × Side = 2 ft × 2 ft = 4 sq ft

Now, let's add the areas of the rectangle and the square:

• Total area of the rectangle + area of the square = 24 sq ft + 4 sq ft = 28 sq ft

Since the total area of the entire supply closet is 36 sq ft, we can determine the area of the remaining part (the area corresponding to the side with the question mark):

• Remaining area = Total area - Area of rectangle - Area of square = 36 sq ft - 28 sq ft = 8 sq ft

If we assume that the area corresponding to the side labeled with the question mark is a square, you would need to find the length of a side of that square:

• Let the side of the square with the question mark be \( x \).
• The area of that square = \( x^2 = 8 \)

To find \( x \), take the square root of both sides:

• \( x = \sqrt{8} = 2\sqrt{2} \) ≈ 2.83 ft.

Thus, the length in feet of the side of the supply closet labeled with the question mark is approximately:

2.83 feet (if rounded).

If you need a specific format (like 2.82 rounded to two decimal places), please let me know!