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Sagot :
The length of one side of the square room of Rhett for his movie and music collection is (2x+7) feet.
What is area of square?
Area of square is the square of its sides length. It can be given as,
[tex]A=a^2[/tex]
Here, [tex]a[/tex] is the length of the side of the square
Rhett decides to build a square room for his movie and music collection. The area of the room is given by the polynomial equation as,
[tex]A=(4x^2 +28x +49)\rm ft^2[/tex]
Find the factors of the above equation using the split the middle term method as,
[tex]A=4x^2 +28x +49\\A=4x^2 +14x+14x +49A=x(2x+7)+7(2x+7)\\A=(2x+7)(2x+7)\\A=(2x+7)^2\rm ft^2[/tex]
Compare it with the area of the square we get,
[tex]a=(2x+7)\rm ft[/tex]
Hence, the length of the square room of Rhett for his movie and music collection is (2x+7) feet.
Learn more about the area of square here;
https://brainly.com/question/1658516
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