Question

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

Answer 1

Answer:

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Answer 2

(4x + 3) feet

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

Explanation:

Given : The area of the room is $16x^2- 24x + 9$

Which can be written as

$16x^2-12x-12x + 9$

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

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

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

Hence, the correct answer is (4x + 3) feet.

# Learn more :

The floor in the room measures 13 feet 3 inches by 11 feet by 5 inches. What is the total area of the room in square feet?

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