(05.05 LC)

On a coordinate grid, the coordinates of vertices P and Q for Polygon PQRS are P(5, 4) and Q(−2, 4). What is the length of Side PQ of the polygon?

2 units
3 units
7 units
8 units

Respuesta :

The length of side PQ of the polygon is 7 units

Step-by-step explanation:

Given points are:

P(5, 4) and Q(−2, 4)

In order to find the length of PQ, the distance formula for coordinate geometry will be used.

The distance formula is given by:

[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

Here

(x1,y1) = (5,4)

(x2,y2) = (-2,4)

[tex]PQ = \sqrt{(-2-5)^2+(4-4)^2}\\=\sqrt{(-7)^2+(0)^2}\\= \sqrt{49}\\= 7\ units[/tex]

Hence,

The length of side PQ of the polygon is 7 units

Keywords: distance formula, coordinate geometry

Learn more about distance formula at:

  • brainly.com/question/10364988
  • brainly.com/question/10435816

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Answer:

the answer is 7 units

Step-by-step explanation: