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)
1 answer:
Answer:
Trapezoid
21 is the perimeter.
24 is the area.
Step-by-step 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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Moreover, let CH=y and BC=z
Now, AHC, CHB and ABC are all right triangles. If we write the pythagorean theorem for each of them, we have the following system
If we solve the first two equations for y squared, we have
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(we can't accept the negative root because negative lengths make no sense)