Question

Find the perimeter of the polygon graphed below. Round your answer to the nearest

Answer 1

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:

$s^2 = 3^2 + 4^2$

$s^2 = 9 + 16$

$s^2 = 25$

$s = 5$

• 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:

$s^2 = 5^2 + 7^2$

$s^2 = 25 + 49$

$s^2 = 74$

$s = 8.6$

• 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:

$s^2 = 3^2 + 9^2$

$s^2 = 9 + 81$

$s^2 = 90$

$s = 9.5$

• 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:

$P = 1 + 5 + 8.6 + 9.5 = 24.1$

The perimeter of the polygon is of 24.1 units.

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