Solution:
Given that;
The area of the rectangular floor in Tamara's room is 95 5/6 square feet, i.e.

The width of the room is 8 1/3 feet, i.e.

To find the length, l, of the rectangular floor in Tamara's room, we will apply the formula to find the area, A, of a rectangle below,

Substitute the values of the area and width into the formula above, to find the length as shown below

Hence, the length of tamara’s room is 11 1/2 feet