Question

Draw and classify the polygon with the given vertices. Find the perimeter and the area of the polygon. A(-2,3), B(2,3), C(4,-1), D(-4,-1)

Answer 1

Trapezoid

21 is the perimeter.

24 is the area.

Explanation:

Let's do the perimeter first, 8 + 4 = 12.

Now we have to get the side lengths. We can do this by using the Pythagoras Theorem by making an imaginary line to form a right triangle. The lengths are 2 and 4. So, 4 + 16 = 20. Square root of 20 + square root of 20 = ~9

12 + 9 = 21

21 is the perimeter.

Now, let's solve the area. The a is 4, b is 8. So 4 + 8 = 12/2 = 6. The height is 4 so 6 * 4 = 24.

24 is the area.

Hope this helped ya

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