Question

7 Central Park in New York City is shaped like a rectangle. On a map of the park in the coordinate plane, three of the vertices are located at (-1.25, -0.25), (-1.25, 0.25), and (1.25, 0.25). Distances on the map are in miles. What is the perimeter of Central Park? Show your work.

Answer 1

The problem does not provide us with the fourth vertice, however, as you can see from the attached photo, we can easily infer the last vertice, since the figure is a rectangle, its opposite sides must have the same length. Hence, the last vertice is:

(1.25,-0.25)

Now that we know all the vertices, we can easily find the perimeter. As you may know, the perimeter of a rectangle is equal to the sum of all its sides:

P=2w+2h

Where:

w=width

h=height

In this case, as you can see:

w=2*(1.25)=2.5

h=2*(0.25)=0.5

Therefore, the perimeter of Central park is:

P=2*(2.5)+2(0.5)=5+1=6mi