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The area of the octagon below is 10,391.9 square millimeters. An octagon has an apothem of 56 millimeters and an area of 10,391.90 square millimeters. What is the approximate perimeter of the octagon? Round to the nearest whole number. mm What is the approximate length of one side of the octagon? Round to the nearest whole number. mm

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eldermedinajr

Answer: 371 mm and 46 mm

Step-by-step explanation: I got it right on edge

MrRoyal

The perimeter of the octagon is 371 millimeters, while the length of each side on the octagon is 46 millimeters

The area of a regular polygon from its apothem is calculated as:

[tex]Area=0.5 * ap[/tex]

Where:

a represents the apothem, and p represents the perimeter

So, we have:

[tex]10,391.9=0.5 * 56 * p[/tex]

Evaluate the product

[tex]10,391.9=28 * p[/tex]

Divide both sides by 28

[tex]p = 371[/tex]

So, the perimeter of the octagon is 371 millimeters

The length of each side is then calculated as:

[tex]L = \frac p8[/tex]

So, we have:

[tex]L = \frac {371}8[/tex]

[tex]L = 46[/tex]

Hence, the length of each side on the octagon is 46 millimeters

Read more about regular polygons at:

https://brainly.com/question/2546141

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