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? (7x 2) feet (2x 7) feet (2x − 7) feet (7x − 2) feet.

Answer 1

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,

$A=a^2$

Here, $a$ 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,

$A=(4x^2 +28x +49)\rm ft^2$

Find the factors of the above equation using the split the middle term method as,

$A=4x^2 +28x +49\\A=4x^2 +14x+14x +49A=x(2x+7)+7(2x+7)\\A=(2x+7)(2x+7)\\A=(2x+7)^2\rm ft^2$

Compare it with the area of the square we get,

$a=(2x+7)\rm ft$

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;

brainly.com/question/1658516