What is the length of each side of a square room that has an area of 144 square feet?

To determine the length of each side of a square room, you can use the formula for the area of a square, which is given by ( A = s^2 ), where ( A ) is the area and ( s ) is the length of a side.

In this case, the area is 144 square feet. To find the length of one side, you would take the square root of the area:

[

s = \sqrt{144} = 12 \text{ feet}

]

Thus, each side of the square room measures 12 feet. This answer aligns perfectly with the properties of squares and area calculation, affirming that in a square, all four sides are equal and the area directly provides the needed information to determine the side length.

The other options do not satisfy the requirement since calculating the sides with those lengths would yield areas significantly different from 144 square feet:

• 10 feet results in an area of 100 square feet,

• 14 feet results in an area of 196 square feet,

• 16 feet results in an area of 256 square feet.

Therefore, these dimensions cannot represent the area of the room described in the question.