Question

If the inside measurements of a building are 24 feet by 30 feet, and the building has 6-inch walls, the building covers how many square feet of ground?

a) 720 square feet
b) 700 square feet
c) 750 square feet
d) 840 square feet

Answer 1

The building with internal dimensions of 24 feet by 30 feet and 6-inch thick walls covers 775 square feet of ground, which doesn't match any of the answer choices provided.

Step-by-step explanation:

To calculate the ground area covered by a building when given its inside dimensions and wall thickness, we need to add the thickness of the walls to the inside dimensions to determine the overall outer dimensions. The building in question has inside dimensions of 24 feet by 30 feet, with walls that are 6 inches, or 0.5 feet, thick.

The outer dimensions can be calculated by adding twice the wall thickness to both the length and the width of the inside dimensions (since each dimension has two sides, each with a wall):

• Length: 24 feet + 0.5 feet + 0.5 feet = 25 feet
• Width: 30 feet + 0.5 feet + 0.5 feet = 31 feet

Next, we multiply these outer dimensions to calculate the total ground area covered by the building:

Ground area = Length × Width = 25 feet × 31 feet = 775 square feet

However, none of the options given (720 square feet, 700 square feet, 750 square feet, 840 square feet) corresponds to the correct calculation of 775 square feet.

Answer 2

Let's calculate the area of the building including the walls. The inside measurements of the building are 24 feet by 30 feet, and the walls are 6 inches thick, or 0.5 feet thick.

To find the total area covered by the building and its walls, we need to add the dimensions of the building and the dimensions of the walls.

The length of the building including the walls is 24 feet + 2*0.5 feet = 25 feet.

The width of the building including the walls is 30 feet + 2*0.5 feet = 31 feet.

Now, we can calculate the total area covered by the building and its walls:

Total area = length * width

Total area = 25 feet * 31 feet

Total area = 775 square feet

The closest answer to 775 square feet is 750 square feet, so the correct answer is:

c) 750 square feet