Question

A rectangular gym has an area of 4x^2 ft². The school decides to add a new weight room. The total area of the gym and the weight room is (4x² + 520) ft². What does

the constant term represent in terms of this problem?

Answer 1

The constant term represent the area of the weight room

Explanation:

Let

R-----> the area of the rectangular gym

W-----> the area of the weight room

A-----> the area total

we know that

`A=R+W`

In this problem we have

`R=4x^(2)\ ft^(2)`

`A=(4x^(2)+520)\ ft^(2)`

substitute in the formula above and solve for W

`(4x^(2)+520)=4x^(2)+W`

`W=520\ ft^(2)`

therefore

The constant term W represent the area of the weight room

Answer 2

For this case the new area is the sum of two areas:
Area = rectangular gym + weight room
Area = (4x² + 520) ft²
In addition, we know that
rectangular gym = 4x ^ 2 ft²
Therefore, the term 520 represents a new weight room
answer
The constant term represent a new weight room