A city shaped like a rectangle is given on a grid. The city's population in 2006 was 607,500 people. We need to find the population density in 2006. Population density is defined as population per unit area.

1. Problem Description

A city shaped like a rectangle is given on a grid. The city's population in 2006 was 607,500 people. We need to find the population density in

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6. Population density is defined as population per unit area.

2. Solution Steps

First, we need to determine the dimensions of the rectangular city from the grid. The coordinates of the bottom left corner are (0,0) and the coordinates of the top left corner are (0, 50), where the units are in km. So, the height of the rectangle is 50 km. The coordinates of the top right corner are (50, 50) and the coordinates of the bottom right corner are (50,0). So, the width of the rectangle is 50 km.

Next, we need to calculate the area of the rectangle.

Area = length * width

Area = $50 \text{ km} * 50 \text{ km} = 2500 \text{ km}^2$

Now, we can calculate the population density.

Population Density = $\frac{\text{Population}}{\text{Area}}$

Population Density = $\frac{607,500 \text{ people}}{2500 \text{ km}^2}$

Population Density = $243 \frac{\text{people}}{\text{km}^2}$

3. Final Answer

243 people/km^2