Patrick is riding his bike on a rectangular path around his city. There is a rest area at each of the path's four corners. The city map shows the corners marked with coordinates of (–2, 2), (1, 2), (1, –2), and (–2, –2). Each unit represents 2.5 miles.

Question:

What is the perimeter of the path, in miles?

35 miles

Step-by-step explanation:

Given

Let the corners be ABCD

First, we calculate the perimeter of the corners in units.

This is done by calculating the distance between the corners.

Distance is calculated as:

For AB:

For BC

For CD:

For DA

The perimeter P in units is:

Given that:

Multiply both sides by 14

Hence, the perimeter is 35 miles