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Find the perimeter of the polygon graphed below. Round your answer to the nearest
tenths place.
3
Perimeter =
units

Find The Perimeter Of The Polygon Graphed Below Round Your Answer To The Nearest Tenths Place 3 Perimeter Units class=

Sagot :

Using the perimeter concept, it is found that the perimeter of the polygon is of 24.1 units.

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  • The perimeter of a polygon is the sum of the lengths of all its sides.
  • One side has length 1 unit.

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  • The second side is the hypotenuse of a right triangle with sides of length 3 and 4, thus, applying the Pytagorean Theorem:

[tex]s^2 = 3^2 + 4^2[/tex]

[tex]s^2 = 9 + 16[/tex]

[tex]s^2 = 25[/tex]

[tex]s = 5[/tex]

  • One of the sides has length of 5 units.

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  • The third side is the hypotenuse of a right triangle of sides with lengths 5 and 7, thus:

[tex]s^2 = 5^2 + 7^2[/tex]

[tex]s^2 = 25 + 49[/tex]

[tex]s^2 = 74[/tex]

[tex]s = 8.6[/tex]

  • Length of 8.6 units.

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  • The final side is the hypotenuse of a right triangle with sides of lengths  3 and 9, thus:

[tex]s^2 = 3^2 + 9^2[/tex]

[tex]s^2 = 9 + 81[/tex]

[tex]s^2 = 90[/tex]

[tex]s = 9.5[/tex]

  • Length of 9.5 units.

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  • The lengths of the sides are: 1, 5, 8.6 and 9.5.
  • Thus, the perimeter is of:

[tex]P = 1 + 5 + 8.6 + 9.5 = 24.1[/tex]

The perimeter of the polygon is of 24.1 units.

A similar problem is given at https://brainly.com/question/6139098

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