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barxatty [35]
3 years ago
5

Which property justifies the statement below

Mathematics
1 answer:
yawa3891 [41]3 years ago
4 0

Answer:

identify a property is the answer

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Find the perimeter of the polygon. Round your answer to the nearest tenth.
lakkis [162]

Answer:

Option B.

Step-by-step explanation:

From the given figure it clear that the the vertices of the polynomial are Q(2,0), R(4,5), S(8,7), T(6,4) and U(10,3).

Distance formula:

d=\sqrt{(x-2-x_1)^2+(y_2-y_1)^2}

Using distance formula, we get

QR=\sqrt{\left(4-2\right)^2+\left(5-0\right)^2}=\sqrt{29}

RS=\sqrt{\left(8-4\right)^2+\left(7-5\right)^2}=2\sqrt{5}

ST=\sqrt{\left(6-8\right)^2+\left(4-7\right)^2}=\sqrt{13}

TU=\sqrt{\left(10-6\right)^2+\left(3-4\right)^2}=\sqrt{17}

QU=\sqrt{\left(10-2\right)^2+\left(3-0\right)^2}=\sqrt{73}

Now, the perimeter of the polynomial is

Perimeter=QR+RS+ST+TU+QU

Perimeter=\sqrt{29}+2\sqrt{5}+\sqrt{13}+\sqrt{17}+\sqrt{73}

Perimeter=26.12996

Perimeter\approx 26.1 units.

Therefore, the correct option is B.

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