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Identify the polygon that has vertices J(12,−4), U(0,−4), S(4,3), and T(8,3), and then find the perimeter and area of the polygon.

trapezoid; P=16+2√ 65 units; A=56 units2
parallelogram; P = 38 units; A = 56 units2

trapezoid; P=56 units; A=16+2√ 65 units2

kite; P=16+√ 65 units; A=65 units2

answer:

Since we have 4 vertices, we will have a quadrilateral. Plot the 4 vertices (points) on a coordinate system. Then connect them to form a closed shape. You should end up with a trapezoid.

Then to get the side lengths between the points, you can use the distance formula.

d = √[(x1 - x2)2 + (y1 - y2)2]

You will use this formula 4 times because there are 4 sides to this polygon.

Once you have the side lengths, you can find the perimeter and area.

Perimeter = sum of the 4 side lengths

Area = (1/2) * (sum of the parallel sides) * (the vertical side length)

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Step-by-step explanation: