Rhett decides to build a square room for his movie and music collection. If the area of the room is 9x2 − 6x + 1 square feet, what is the length of one side of the room?
A. (3x + 1) feet
B. (9x − 1) feet
C. (3x − 1) feet
D. (9x + 1) feet
I am stuck on this question please help thank you
Since it is a perfect square, it's easy to check.
(a-b)^2 = a^2-2ab+b^2
so you know that a=3 and b=1
(3x-1)^2 = 9x^2-6x+1
so it would be c?
Yes, C is correct
To find the length of one side of the square room, we need to identify the expression in the given options that represents the square root of the area of the room.
The area of a square is given by the formula A = s^2, where A is the area and s is the length of one side.
Comparing this formula to the given area of the room, which is 9x^2 - 6x + 1, we can see that the area expression matches with s^2.
Therefore, s = √(9x^2 - 6x + 1).
Now, let's check which option represents this expression.
A. (3x + 1) feet: This is not correct as it does not match with our expression.
B. (9x - 1) feet: This is not correct as it does not match with our expression.
C. (3x - 1) feet: This is not correct as it does not match with our expression.
D. (9x + 1) feet: This is correct as it matches with our expression s = √(9x^2 - 6x + 1).
Therefore, the length of one side of the room is (9x + 1) feet.
Hence, the answer is option D. (9x + 1) feet.