Math Snap

STEP 1

Assumptions1. The population of Chicago in2017 was,716,450 people. The population density of Chicago in2017 was $\frac{11,898 \text { people }}{1 m i^{}}$
3. The population density is calculated as the total population divided by the total area

STEP 2

We can find the area of Chicago by dividing the total population by the population density. The formula for this is$$Area = \frac{Population}{Population\, density}$$

STEP 3

Now, plug in the given values for the population and population density to calculate the area.
$$Area = \frac{2,716,450\, people}{\frac{11,898\, people}{1\, mi^{2}}}$$

STEP 4

implify the equation by multiplying the numerator and denominator of the fraction by $1\, mi^{2}$.
$$Area = \frac{2,716,450\, people \times1\, mi^{2}}{11,898\, people}$$

STEP 5

The 'people' units cancel out, leaving us with the area in square miles.
$$Area = \frac{2,716,450\, mi^{2}}{11,898}$$

Calculate the area of Chicago.
$$Area = \frac{2,716,450\, mi^{2}}{11,898} \approx228.3\, mi^{2}$$The area of Chicago is approximately228.3 square miles.