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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 Ă— side. Hence, the area of a square is side square.

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

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