What is the value of x in the regular polygon below?

x=40

Step-by-step explanation:

The ploygon has 6 sides.  The sum of the interior angles  of a polygon with n sides is (n – 2)180.

(6-2) *180

4*180 = 720

The total of the sum of the angles is 720

We have 6 interior angles of 3x

6*3x = 720

18x = 720

Divide each side by 18

18x/18 = 720/18

x=40

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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