there are 50 employees who work in a 15,000 - square - foot office. the company is planning to open a second…

there are 50 employees who work in a 15,000 - square - foot office. the company is planning to open a second office location. it will add 15 employees to this new office. the company wants to have the same density of workers in both offices. approximately how big should the new office be? 1,000 square feet 3,000 square feet 4,500 square feet 5,500 square feet

there are 50 employees who work in a 15,000 - square - foot office. the company is planning to open a second office location. it will add 15 employees to this new office. the company wants to have the same density of workers in both offices. approximately how big should the new office be? 1,000 square feet 3,000 square feet 4,500 square feet 5,500 square feet

Answer

Explanation:

Step1: Calculate the density in the first office

Density = $\frac{\text{Number of employees}}{\text{Office area}}=\frac{50}{15000}=\frac{1}{300}$ employees per square - foot.

Step2: Calculate the area of the new office

Let the area of the new office be $A$. We know the number of employees in the new office is 15, and the density is $\frac{1}{300}$ employees per square - foot. Using the density formula $\text{Density}=\frac{\text{Number of employees}}{\text{Office area}}$, we can solve for $A$. So $A = 15\div\frac{1}{300}=15\times300 = 4500$ square feet.

Answer:

4,500 square feet