A city planner uses a coordinate grid to model the streets of a city. Each unit on the coordinate grid represents one city block. City hall is located at (0,0).The downtown area is represented by rectangleABCD, which has the vertices listed below. A(9,9) B(9,−2) C(−8,−2) D(−8,9) What is the perimeter of the downtown area?

The perimeter of the downtown area is 56 units.

Step-by-step explanation:

From Geometry we know that perimeter (), dimensionless, is the sum of the lengths of the rectangle, that is, its 4 sides:

(1)

Where , , and are the sides of the rectangle, dimensionless.

Each side length is determined by Pythagorean Theorem:

Then, the perimeter of the downtown area is:

The perimeter of the downtown area is 56 units.

step-by-step explanation: