[1,infinity sign) this is the answer
Since the area is 120 ft^2, and we know the length of the room is 15 ft, we can calculate the width.
120/15 = 8
To find the perimeter, we use the following formula
2l + 2w = P
2 (15) + 2 (8) = 46 ft
Expanded: 80,000,000+9,000,000+600,000+30,000+7,000+400+20+1

Since all the variables cancel out and the coefficient equal to eachother, this system of equation has
<u>infinitely many solutions!</u>