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

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

Answer 2

Answer:

The constant term represent the area of the weight room

Step-by-step 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