Final answer:
The maximum floor area for a mezzanine in an open story with 12,000 square feet as per building code that allows up to one-third of the room's area is 4,000 square feet.
Step-by-step explanation:
The question pertains to the design of a mezzanine in a building, for which the maximum allowable floor area is determined by building codes. In many building codes, a mezzanine is allowed to be a maximum of one-third the floor area of the room it is in. Considering that the total floor area of the open story is 12,000 square feet, the maximum floor area for the mezzanine would be one-third of that space.
To calculate the maximum area of the mezzanine, we use the formula:
Maximum Mezzanine Area = Total Floor Area × Percent Allowed
Inserting the values given:
Maximum Mezzanine Area = 12,000 sq ft × (1/3)
When we perform the multiplication, we get:
Maximum Mezzanine Area = 4,000 sq ft
Therefore, the code will allow a maximum mezzanine floor area of 4,000 square feet.