Find the area of the following polygon with given vertices. Round to the nearest tenth if necessary.
Parallelogram ABCD
The area is
Vertices: A(0,0), B(5,0), C(8,4), D(3,4)
square units.

Find the area of the following polygon with given vertices Round to the nearest tenth if necessary Parallelogram ABCD The area is Vertices A00 B50 C84 D34 squar class=

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Answer:

To find the area of the parallelogram ABCD, you can use the formula for the area of a parallelogram, which is given by the base multiplied by the height.

1. **Find the base:** The base can be the distance between points A and B or between points C and D. Let's use the distance between A and B.

\[ \text{Base} = \sqrt{(5-0)^2 + (0-0)^2} = \sqrt{25} = 5 \]

2. **Find the height:** The height can be the vertical distance between points B and C (or A and D).

\[ \text{Height} = |4-0| = 4 \]

3. **Calculate the area:**

\[ \text{Area} = \text{Base} \times \text{Height} = 5 \times 4 = 20 \]

So, the area of parallelogram ABCD is \(20\) square units.