To find the length of the side of the supply closet labeled with a question mark, we first need to clarify the layout of the supply closet. You described the supply closet as a combination of a rectangle and a square.
We have:
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Rectangle:
- Length = 8 ft
- Width = 3 ft
The area of the rectangle is: \[ \text{Area of rectangle} = \text{length} \times \text{width} = 8 , \text{ft} \times 3 , \text{ft} = 24 , \text{sq ft} \]
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Square:
- We are given the width of the square as 2 ft (which is also the length of each side since all sides of a square are equal).
The area of the square is: \[ \text{Area of square} = \text{side} \times \text{side} = 2 , \text{ft} \times 2 , \text{ft} = 4 , \text{sq ft} \]
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Now, we can calculate the total area of the supply closet by adding the areas of the rectangle and the square: \[ \text{Total Area} = \text{Area of rectangle} + \text{Area of square} = 24 , \text{sq ft} + 4 , \text{sq ft} = 28 , \text{sq ft} \]
However, you stated that the total area of the entire supply closet is 36 square feet. This implies that we have miscounted the square's contribution or that there is an adjustment needed.
Assuming no mistakes in the areas provided: The calculated area does not match the given total area of 36 square feet, which could suggest that either the rectangle's measurements, the square's measurements or how they are added may be incorrect.
If we are to find the unknown dimension (which you referred to as length labeled with a question mark) in the context given: Since we know the area must equal to 36 sq ft, we can denote "L" as the length we are trying to determine:
Therefore, \[ \text{Area}{\text{total}} = \text{Area}{\text{rectangle}} + \text{Area}_{\text{square}} + \text{Another Area (if applicable)} \] If we take the two known shapes and reconcile with total area: Given: \[ (8 \times 3) + (2 \times L) = 36 \] or based on the clothing of shapes, \[ 24 + 4 + L = 36 \]
To find a compatible area let's resolve L from: \[ L + 28 = 36 \]
From, \[ L = 36 - 28 = 8 \text{ feet} \] This gives that the dimension of 8 feet on the closet which generates \( 4+24 \) will reconcile with all findings.
Thus, if calculating dimensions: The length of the side of the closet shown as the unknown should respond ultimately to additional considerations based on closings or room needs.
Conclusively, The unknown dimension anticipated can stand vetted up to 8 feet suggesting scaled room labeled appropriately toward volumes constructionistic tasks as appropriate within housing squares.
If further configurations from cavity sharing, decrease notices summations indicate adjustments, or more speculations for areas can exist.