Answer :
I will have to try to explain in words since I don't have a square root icon
FORMULA USED is A=1/2 a X P
substitute the given info
150 sq. rt 3= 1/2 X 5 sq, rrt, 3 X P
multiply all terms by 2 to eliminate the fraction
300 sq, rt 3= 5 sq, rt 3 X P
DIVIDE by sq rt of three
300= 5P
60= Perimeter since the figure is a hexagon ( 6 sides)
divide the perimeter by 6
the side 10
I hope can understand the solution
If the perimeter of the regular hexagon is 60 cm. Then the side length of the hexagon will be 10 cm.
What is the area of the regular polygon?
Let 'a' be the apothem and 'p' be the perimeter of the regular polygon.
Then the area of the regular polygon will be
A = (1/2) × a × p
The area of a regular hexagon is 150√3 square cm. If the apothem is 5√3 cm.
Then the perimeter of the hexagon will be
A = (1/2) × a × p
150√3 = (1/2) × 5√3 × p
300/5 = p
p = 60
We know that the perimeter of the regular hexagon is given as,
p = 6L
Where L is the length of the hexagon. Then we have
60 = 6L
L = 60 / 6
L = 10 cm
If the perimeter of the regular hexagon is 60 cm. Then the side length of the hexagon will be 10 cm.
More about the area of the regular polygon link is given below.
https://brainly.com/question/12000718
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