Question

A building has two separate sections, each with internal dimensions of 25' width by 80' depth. The dividing center wall, running from front to back, is 12" thick, and all exterior walls are 6" thick. How much land does the building cover? a. 4,043 sq. ft. b. 4,061 sq. ft. c. 4,212 sq. ft. d. 4,366 sq. ft.

Answer 1

The land covered by the building is calculated using the dimensions of the building and the thickness of the walls. The total width is 52ft and the total depth is 81ft. Therefore, the total land covered by the building is 4,212 sq. ft.

Step-by-step explanation:

To calculate the land covered by the building, we will first need to calculate the footprint of the building, which is defined by its dimensions. Each section of the building has a width of 25ft and depth of 80ft. But, we must also consider the thickness of the walls: the central wall is 12" (or 1ft) and the exterior walls are 6" (or 0.5ft) each. The exterior walls add an extra foot to both the width and the depth of the building.

Since the building has two sections of the same size, we consider the width of the building as 25ft + 25ft (two sections) + 1ft (central wall) + 1ft (exterior walls) = 52ft. The depth is 80ft + 1ft (for the exterior walls) = 81ft.

Thus, the total land covered is 52ft * 81ft = 4,212 sq. ft. So, the correct answer is (c) 4,212 sq. ft.

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