Question
The rectangular gym has an area of 3x^2 ft^2. The school decided to add a new weight room. The total area of the gym and the weight room is (3x^2+500)ft^2
Answers
GPT-4o mini
To find the area of the new weight room, we can subtract the area of the gym from the total area after the weight room is added.
The area of the gym is given as \(3x^2\) ft², and the total area after adding the weight room is \(3x^2 + 500\) ft².
To find the area of the weight room, we can set up the equation:
\[
\text{Area of weight room} = \text{Total area} - \text{Area of gym}
\]
Substituting in the given values:
\[
\text{Area of weight room} = (3x^2 + 500) - 3x^2
\]
Simplifying this gives:
\[
\text{Area of weight room} = 500 \text{ ft}^2
\]
So, the area of the new weight room is \(500\) ft².
The area of the gym is given as \(3x^2\) ft², and the total area after adding the weight room is \(3x^2 + 500\) ft².
To find the area of the weight room, we can set up the equation:
\[
\text{Area of weight room} = \text{Total area} - \text{Area of gym}
\]
Substituting in the given values:
\[
\text{Area of weight room} = (3x^2 + 500) - 3x^2
\]
Simplifying this gives:
\[
\text{Area of weight room} = 500 \text{ ft}^2
\]
So, the area of the new weight room is \(500\) ft².