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Rhett decides to build a square room for his movie and music collection. If the area of the room is 16x2 − 24x + 9 square feet, what is the length of one side of the room?

(4x + 3) feet
(16x + 3) feet
(16x − 3) feet
(4x − 3) feet

Respuesta :

Answer:

(4x-3) feet

Step-by-step explanation:

All you have to do for this problem is factor the equation. I would be hard to explain on this so I recomment you watch a video on it. If you did not know how to factor, you could have muliplied each of the answers by themselves to determine the correct answer because it is a square.

anvimalik867

(4x + 3) feet is the answer.

The length of one side of the room = (4x-3) feet.

Given: The area of the room is  16x2 − 24x + 9

Which can be written as

16x2-12x-12x-9

=4x(4x-3)-3(4x-3)=(4x-3)(4x-3)

Since the area of a square = (side) x (side)

Hence, the length of one side of the room = (4x-3) feet.

What an area?

The area is the region bounded by the shape of an object. The space covered by the figure or any two-dimensional geometric shape, in a plane, is the area of the shape.

What is the answer to area of the square?

A square is a 2D figure in which all the sides are of equal measure. Since all the sides are equal, the area would be length times width, which is equal to side × side. Hence, the area of a square is side square.

Learn more about square here:https://brainly.com/question/25092270

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