Question

sandra bought 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. $2\sqrt{30}$ feet $2\sqrt{10}$ feet $2\sqrt{20}$ feet $2\sqrt{15}$ feet

Explanation:

Step1: Set up area equation

$l^2 = 120$

Step2: Solve for side length

$l = \sqrt{120}$

Step3: Simplify the square root

$l = \sqrt{4 \times 30} = 2\sqrt{30}$

Answer:

$2\sqrt{30}$ feet