A new homeowner buys 120 square feet of carpet for a room in her new house. If the room is square, what is the length of each side of the room? (Recall that the area of a square is calculated by l^2 where l is the length of one side.)

As it is emphasized above, the area (A) of a square is the square of its sides (l),

A = l²

The area of the square should be 120 ft². Substituting this to the equation,

120 ft² = l²

Solving will give us an answer of l being approximately equal to 10.95 ft.