Question

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

Answer 1

If the area of the room is 9x2 − 6x + 1 square feet, then the length of one side of the room is (3x − 1) feet. The correct answer between all the choices given is the third choice or letter C. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

Answer 2

The length of one side of the room is (3x-1) feet

What is a square?

A square is a quadrilateral with four sides and four right angles.

It has four lines of symmetry and each diagonal divide it into two right angled triangles.

Analysis:

Area of square room = 9$x^{2}$-6x+1

simplifying this area we have,  9$x^{2}$ -3x -3x +1

 3x(3x-1) -1(3x - 1)

(3x-1)(3x-1) = $(3x-1)^{2}$ square feet

To find the length of one side we take the square root of the area

length of one side of the room = $\sqrt{(3x-1)^{2} }$ = (3x-1) feet

Learn more about squares: brainly.com/question/25092270

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