Polygon ABCD has the following vertices: A(−3, 3), B(5, 5), C(5, −4), and D(−3, −4) Calculate the area of the polygon.

52 units squared 56 units squared 64 units squared 72 units squared


YES IT IS MULTIPLE CHOICE ANSWER FOR 5O POINTS 

Respuesta :

To solve this problem you must apply the proccedure shown below:

1. When you plot the given points, you obtain a trapezoid, therefore, you must apply the formula for calculate the area of a trapezoid, which is:

[tex] A=\frac{(B+b)h}{2} [/tex]

Where [tex] B [/tex] is the larger base, [tex] b [/tex] is the smaller base and [tex] h [/tex] is the height.

2. The dimensions are:

[tex] B=9units\\ b=7units\\ h=8units [/tex]

3. Substitute values:

[tex] \\A=\frac{(9 units+7units)(8units)}{2} A=64 units^{2} [/tex]

The answer is: [tex] 64 units^{2} [/tex]

Answer:

64 units

Step-by-step explanation:

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