Answer:
116 diners.
Explanation:
An owner submits plans for a dining room measuring 100 ft. by 35 ft.
The plans department requires 30 square feet per diner.
Area of dining room = 100 × 35 = 3500 feet²
Required area per diner = 30 feet²
Number of diners allowed =

=
= 116.67
We can not round off 116.67 to 117 because area required by 117 diners will be = 117 × 30 = 3510 feet² which is more than the area of the dinning room
Therefore, 116 diners will be allowed.