Question

Avi’s dining room measures 124 square feet and is in the shape of a square. Which is the best estimate of the length of one side of the room, to the nearest tenth of a foot?

A: 10.7 feet
B: 10.9 feet
C: 11.1 feet
D: 11.4 feet

Answer 1

It would be C, I believe.

Answer 2

C. 11.1 feet

Explanation:

The area of a square is given by the following equation:

`A=L^(2)`

Where L is the length of one side of the room.

Additionally, in this case, the unit of the area is square feet and the unit of L is feets.

From the question we know that the area of the square is 124 square feet. Replacing A by this value, we get:

`124=L^(2)`

Then, isolating L by making a square root on both sides, we get:

`√(124) =\sqrt{L^(2) } \\√(124)=L\\ 11.135=L`

Finally, the side L of the square have a length of 11.135, so the nearest tenth of that length is 11.1 feets.