A map of the Orchid Hill Neighborhood is shown. The population of Orchid Hill Neighborhood is 360 people. The length of each block is the same and the length of 20 blocks is 1 mile.

The question is incomplete. The complete question is :

A map of the Orchid Hill Neighborhood is shown. The population of Orchid Hill Neighborhood is 360 people. The length of each block is the same and the length of 20 blocks is 1 mile.

a). What is the area in square miles of Orchard Hill?

b). What is the population density of the Orchard Hill Neighborhood, given as a number of people per square mile?

Solution :

It is given that :

The total population of Orchid Hill Neighborhood is = 360

The length of 20 blocks = 1 mile

So, 20 blocks = 1 mile

       ∴

                       = 0.05 mile

So the length of the neighborhood is = 4 x 0.05

                                                             = 0.20 mile

    The width of the neighborhood is = 3 x 0.05

                                                             = 0.15 mile

a). Therefore, the area of the Orchid Hill Neighborhood in square miles is

A = length x width

  = 0.20 x 0.15

  = 0.03 square miles

b). Population density is defined as the number of people living in an unit area.

i.e.

  = 12,000 people per square mile