Mathematics: 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?

A city planner uses a coordinate grid to model the

lulustar13

11.02.2022

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:

p = AB + BC + CD + DA (1)

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

Each side length is determined by Pythagorean Theorem:

$AB = \sqrt{(9-9)^{2}+(-2-9)^{2}}$

AB = 11

$BC = \sqrt{(-8-9)^{2}+[-2-(-2)]^{2}}$

BC = 17

$CD = \sqrt{[-8-(-8)]^{2}+[9-(-2)]^{2}}$

CD = 11

$DA = \sqrt{[9-(-8)]^{2}+(9-9)^{2}}$

DA = 17

Then, the perimeter of the downtown area is:

p = 11+17+11+17

p = 56

The perimeter of the downtown area is 56 units.

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jodonw5616

13.12.2022

It's 3 x 7 pond or a 7 x 3 pond

Step-by-step explanation:

Let the rectangular pond have dimensions l x b.

ATQ, l*b=21 and 2(l+b)=20. Solving it, we get l=3 or 7 and b=7 or 3.

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