Question

A lot measuring 110 feet wide by 140 feet deep has a required setback of 30 feet in front, 20 feet in the rear, and 20 feet on each side. If a builder wants to put a one story building on the lot, the MAXIMUM square footage it can contain is:

1) 3,300 square feet
2) 3,600 square feet
3) 6,300 square feet
4) 6,600 square feet

Answer 1

To calculate the maximum building area, subtract the front, rear, and side setbacks from the lot's dimensions. The width becomes 70 feet, and the depth becomes 90 feet after setbacks, giving a maximum area of 6,300 square feet.

Step-by-step explanation:

To calculate the maximum square footage that the one-story building can contain, we must account for the required setbacks on all sides of the lot. The lot is 110 feet wide and 140 feet deep, with setbacks of 30 feet in the front, 20 feet in the rear, and 20 feet on each side.

Subtracting the side setbacks from the lot's width, we get: 110 feet - 20 feet - 20 feet = 70 feet. Subtracting the front and rear setbacks from the lot's depth, we get: 140 feet - 30 feet - 20 feet = 90 feet.

Now, by multiplying these adjusted measurements, we can find the maximum square footage of the building:

Maximum building area = width after setbacks × depth after setbacks
= 70 feet × 90 feet
= 6,300 square feet.

Hence, the correct option is 3) 6,300 square feet, providing us with the maximum building area under the given constraints.