emileetownsend15
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Given the coordinates of the vertices of a quadrilateral, determine whether it is a square, a rectangle, or a parallelogram. Then find the area of the quadrilateral.
A(2, -3), B(7, -3), C(9, 2), D(4, 2)

a. parallelogram; 25 units2
b. rectangle; 20 units2
c. square; 10 units2
d. none of these

Respuesta :

sqdancefan

Answer:

  a.  parallelogram; 25 units^2

Step-by-step explanation:

A plot of the points can be helpful. It lets us see that opposite sides are parallel (have the same slope), and that the base and height are both 5 units. The corners are not 90°, so the figure is not a square or rectangle.

The figure is a parallelogram, and its area is ...

  A = base×height = (5 units)(5 units) = 25 units²

Ver imagen sqdancefan

The area of the quadrilateral should be  option a.  parallelogram; [tex]25\ units^2[/tex]

Calculation of the area of the quadrilateral:

Here the opposite sides should be parallel that contains the same slope, and the base and height are both 5 units.

So, the area should be

[tex]Area = base\times height \\\\= (5 units)(5 units) \\\\= 25 units^2[/tex]

Learn more about the area here: https://brainly.com/question/21676565

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