Question

A rectangular gym has an area of 4x^2ft^2. The school decides to add a new
weight room. The total area of the gym and the weight room is (4x^2+480)ft^2.
What does the constant term represent in terms of this problem?

Answer 1

Answer:

The constant term is the area of weight room.

Step-by-step explanation:

A rectangular gym has an area of $4x^2$  square feet

The school decides to add a new  weight room.

The total area of the gym and the weight room is $(4x^2+480)$ ft^2.

Here, 480 is the area of the weight room because $4x^2$ is the area of gym and the total area will be addition of both the areas.

Hence, the constant term is the area of weight room.

Answer 2

The area of the weight room is 480 square ft and the constant term 480 represents the area of the weight room.

What is the area of the rectangle?

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

We have:

The area of the rectangular gym = 4x² square ft

The total area of the gym and the weight room = (4x² + 480) square ft

Let A be the area of the weight room:

Total area = area of gym + area of weight room

4x² + 480 = 4x² + A

A = 480 square ft

Thus, the area of the weight room is 480 square ft and the constant term represents the area of the weight room.

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