A 16-storey building has 12,000 sq. ft. of floor space on each floor. Company…
2024
A 16-storey building has 12,000 sq. ft. of floor space on each floor. Company A rents 7 floors, and Company B rents 4 floors. What is the total square footage of the unrented floor space?
- A.
50,000 sq ft
- B.
60,000 sq ft
- C.
55,000 sq ft
- D.
65,000 sq ft
Show answer & explanation
Correct answer: B
To find leftover (unrented) floor space in a building, first work out how many floors remain after subtracting every leased floor from the total floor count, then multiply that count by the area of one floor: total unrented area = unrented floors × area per floor.
The building has 16 floors in total.
Company A leases 7 floors and Company B leases 4 floors, so 7 + 4 = 11 floors are rented.
Floors left unrented = 16 − 11 = 5.
Each floor measures 12,000 sq. ft., so the unrented space = 5 × 12,000 = 60,000 sq. ft.
Cross-check from the other direction: the rented area is 11 × 12,000 = 132,000 sq. ft., and the whole building is 16 × 12,000 = 192,000 sq. ft. Subtracting, 192,000 − 132,000 = 60,000 sq. ft., confirming the same result.