What is the plan area, in square feet, for a basement excavation footprint of 30 feet by 30 feet with 3-foot setbacks on all sides?

What is the plan area, in square feet, for a basement excavation footprint of 30 feet by 30 feet with 3-foot setbacks on all sides?

• A. 900
• B. 1296
• C. 1440
• D. 1600

Answer: (B)

To find the plan area for the basement excavation footprint while accounting for the 3-foot setbacks on all sides, it's essential to first determine the dimensions of the area that will actually be excavated. The original footprint of the basement is 30 feet by 30 feet, resulting in an area of: 30 feet * 30 feet = 900 square feet. However, setbacks of 3 feet on each side of the footprint reduce the dimensions. With a 3-foot setback on all sides, you need to subtract 3 feet from each dimension twice (once for each side): - For the width: 30 feet - 3 feet (left setback) - 3 feet (right setback) = 24 feet. - For the length: 30 feet - 3 feet (front setback) - 3 feet (back setback) = 24 feet. Now, the effective dimensions of the footprint for excavation become 24 feet by 24 feet. To find the area of this reduced footprint, you multiply: 24 feet * 24 feet = 576 square feet. To clarify, if the question referred specifically to the area of the full footprint without the setbacks, 900 square feet would be the correct area. However, it seems

To find the plan area for the basement excavation footprint while accounting for the 3-foot setbacks on all sides, it's essential to first determine the dimensions of the area that will actually be excavated.

The original footprint of the basement is 30 feet by 30 feet, resulting in an area of:

30 feet * 30 feet = 900 square feet.

However, setbacks of 3 feet on each side of the footprint reduce the dimensions. With a 3-foot setback on all sides, you need to subtract 3 feet from each dimension twice (once for each side):

• For the width:

30 feet - 3 feet (left setback) - 3 feet (right setback) = 24 feet.

• For the length:

30 feet - 3 feet (front setback) - 3 feet (back setback) = 24 feet.

Now, the effective dimensions of the footprint for excavation become 24 feet by 24 feet. To find the area of this reduced footprint, you multiply:

24 feet * 24 feet = 576 square feet.

To clarify, if the question referred specifically to the area of the full footprint without the setbacks, 900 square feet would be the correct area. However, it seems