Question

A lot has a frontage of 100ft and a depth of 150ft. If the building line regulations call for a setback of 25ft at the front, 10ft at the back, and 6ft on each side, how many square feet of usable space are left for the building?
a) 9,350 sq ft
b) 10,120 sq ft
c) 11,750 sq ft
d) 15,000 sq ft

Answer 1

Answer:

  b)  10,120 sq ft

Step-by-step explanation:

You want to know the area available for a building on a lot 100 ft wide and 150 ft deep if setbacks of 6 ft on either side, 25 ft at the front, and 10 ft at the back are required.

Setback

The dimensions of the building can be no greater than the lot dimensions less the required setbacks. The width can be 100 ft - 6 ft - 6 ft = 88 ft. The depth can be 150 ft - 25 ft - 10 ft = 115 ft.

Area

This means the building area can be ...

  A = LW

  A = (88 ft)(115 ft) = 10,120 sq ft . . . . . . matches choice B