Answer :

The area of the given polygon which is a rectangle is; 28 sq. units

What is the area of the polygon with vertices?

We are given the coordinates of the polygon as;

A(3,7)

B(5,7)

C(3,-7)

D(5,-7)

Now, by close inspection of the coordinates, we can tell that this polygon is a rectangle. Thus, we can deduce that;

AB = 5 - 3 = 2

CD = 5 - 3 = 2

BC = 7 + 7 = 14

AD = 7 + 7 = 14

Formula for area of a rectangle is;

A = Length * Width

A = 14 * 2

A = 28 sq. units

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