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Andreas93 [3]
3 years ago
7

Plot the points in the coordinate plane. Then find the perimeter and area of the polygon.

Mathematics
1 answer:
anyanavicka [17]3 years ago
7 0

Answer:

The answer to your question is below

Step-by-step explanation:

See the graph below

Process

1.- Find the distance from A to B, B to C, C to D, A to D

Formula

d = \sqrt{(x2 - x1)^{2} + (y2 - y1)^{2}}

d AB = \sqrt{(1 + 3)^{2} + (6 - 5)^{2}}  = \sqrt{17}

dBC = \sqrt{(-2 -6)^{2} + (3 - 1)^{2}}  = \sqrt{68}

dCD = \sqrt{(-1 - 3)^{2} + (-3 +2)^{2}}  = \sqrt{17}

dAD = \sqrt{(-1 + 3)^{2} + (-3 - 5)^{2}}  = \sqrt{68}

2.- Find the perimeter

Perimeter = 2\sqrt{17} + 2\sqrt{68} = 6\sqrt{17} u

3.- Find the area

Area = \sqrt{17} x \sqrt{68}

Area = \sqrt{17x68} = \sqrt{1156} = 34 u^{2}

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