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What is the perimeter of the figure in the diagram (round to three decimal places if necessary)? A) 54.5 B) 42.634 C) 39.5 D) 27.634

What is the perimeter of the figure in the diagram round to three decimal places if necessary A 545 B 42634 C 395 D 27634 class=

Respuesta :

Matthieu14

Answer:

D

Step-by-step explanation:

First add all the simple line up so;

[tex]8 + 7 + 3 + 2 = 20[/tex]

Then use Pythagoras to work out the lengths of the remaining lines

[tex] \sqrt{ {2}^{2} + {4}^{2} } = 2 \sqrt{5} \\ \sqrt{ {3}^{2} + {1}^{2} } = \sqrt{10} \\ 20 + \sqrt{10} + 2 \sqrt{5} = 27.63441362 [/tex]

So to three decimal places it would be;

[tex]27.634[/tex]

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