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For a regular pentagon, the area is 336 mm^2 and the apothem is 9.6 mm. Find the side length, in millimeters of the pentagon. Round your ans
Question
For a regular pentagon, the area is 336 mm^2 and the apothem is 9.6 mm. Find the side length, in millimeters of the pentagon. Round your answer to the nearest whole number
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Mathematics
4 years
2021-08-16T03:44:23+00:00
2021-08-16T03:44:23+00:00 1 Answers
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Answer:
Step-by-step explanation:
The area of a pentagon = a * p / 2
Area = 336 mm^2
a = 9.6 mm
336 = 1/2 * 9.6 * p Multiply by 2
672 = 9.6 p Divide by 9.6
672/9.6 = 9.6 * p / 9.6
70 = p
A pentagon has 5 sides
s = p / # sides
s = 70 / 5
s = 14