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Find the area of a polygon with the given vertices W (3,4), X (7,4), Y (7,1), Z (3,1)

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Answer: 12 units²

Finding what formula to use:

I can see that we have pairs of points with the same x-coordinate values and the same y-coordinate values. This leads me to believe the polygon given is a rectangle. To check, I will graph the points given. After graphing, it appears I was correct! Now we can solve this problem.

-> See attached

Explanation:

Since this is a rectangle, we will use A = L * W

A = L * W

A = 4 * 3

A = 12

A = 12 units²

The area of the given polygon is 12 units².

Find the area of a polygon with the given vertices W (3,4), X (7,4), Y (7,1), Z (3,1)-example-1
User Mukesh Methaniya
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