Question

Rhett decides to build a square room for his movie and music collection. If the area of the room is 4x2 + 28x + 49 square feet, what is the length of one side of the room?. . (2x + 7) feet. (7x - 2) feet. (7x + 2) feet. (2x - 7) feet

Answer 1

The correct option is A) (2x + 7) feet.

this is correct; i took the test

(on my test this answer is B, but everything else should be correct)

Answer 2

Answer: The correct option is (A) (2x + 7) feet.

Step-by-step explanation: Given that Rhett decides to build a square room for his movie and music collection and the area of the room is (4x2 + 28x + 49) square feet.

We are to find the length of one side of the room.

We know that the area of a square having side length of 'a' units is a² square units.

So, to find the side length of the square room, we need to convert the area in form of a perfect square.

The are of the square room is

`A=4x^2+28x+49=(2x)^2+2* 2x* 7+7^2=(2x+7)^2~\textup{sq. feet}.`

Since the area of the square room is (2x + 7)², so the length of one side of the room will be (2x + 7) feet.