Find the perimeter of quadrilateral ABCD with vertices A(0, 4), B(4, 1), C(1, -3), and D(-3, 0).

Given:

The vertices of a quadrilateral ABCD are A(0, 4), B(4, 1), C(1, -3), and D(-3, 0).

To find:

The perimeter of quadrilateral ABCD.

Solution:

Distance formula:

Using the distance formula, we get

Similarly,

And,

Now, the perimeter of the quadrilateral ABCD is:

Therefore, the perimeter of the quadrilateral ABCD is 20 units.

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step-by-step explanation: