Question

There are three hallways at Wilson Middle School, as represented in the coordinate plane below. Four points are plotted on the coordinate plane to represent the end of each hallway.
Clockwise from the top left, the points reed, A, negative 20, 60, D, 50, 75, C, 50, negative 25, B, negative 20, negative 25.

Part A
Each unit represents $1$ meter. What is the total length of the three hallways? Show or explain your work.

Respond in the space provided.

Question 2
Part B
The Wilson Middle School flagpole is $28$ meters to the right of point $D$ . Give the coordinates of the point that represents the location of the school’s flagpole.

Respond in the space provided.

Answer 1

The total length is 226.59 units. The flagpole is at (78,75)

Step-by-step explanation:

To find the distance between two points given the coordinates apply the formula for distance as;

$d=\sqrt{(y_2-y_1)^2+ (x_2-x_1)^2}$

For segment ;

AB, A(-20,60) and B(-20,-25)

$d=\sqrt{(-25-60)^2} \\\\d=\sqrt{(-85)^2} \\\\d=85$

For segment AD

A(-20,60) and D(50,75)

$d=\sqrt{(75-60)^2+(50--20)^2} \\\\d=\sqrt{(15)^2+(70)^2} \\\\d=\sqrt{5125} \\\\d=71.59$

For segment

BC

B(-20,-25) and C(50,-25)

$d=\sqrt{(50--20)^2} \\\\d=\sqrt{70^2} \\\\d=70$

Total length of the three hallways is 85+71.59+70 =226.59 units

PART B

The flagpole is 28 meters to the right of point D

Point D(50,75)

Flagpole will be (50+28,75), = (78,75)

Learn More

To find length of a segments using coordinates :brainly.com/question/13502098

Keywords :coordinate plane, plot, clockwise

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