Find the perimeter of the polygon with the vertices A (−1, 1), B (4, 1), C (4,−2), and D(−1,−2). The perimeter of ABCD is ___ units.

Could someone explain how I can figure this out?

The perimeter of polygon ABCD is 16 units

The coordinates are given as:

Start by calculating the distance between the coordinates using the following distance formula

So, we have:

The perimeter is then calculated as:

Substitute values for AB, BC, CD and DA

Hence, the perimeter of the polygon is 16 units

Read more about perimeters at:

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Given:

The vertices of a polygon are A (−1, 1), B (4, 1), C (4,−2), and D(−1,−2).

To find:

The perimeter of ABCD.

Solution:

Distance formula:

Using distance formula, we get

Similarly,

Now, perimeter of ABCD is

Therefore, the perimeter of ABCD is 16 units.

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step-by-step explanation:

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