SOLUTION: The area of a regular polygon is 36 square inches. Find the length of a side if the polygon has the given number of sides. Round your answer to the nearest tenth.
a. 3 b. 4
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Question 581438: The area of a regular polygon is 36 square inches. Find the length of a side if the polygon has the given number of sides. Round your answer to the nearest tenth.
a. 3 b. 4 c. 6
d. Suppose the polygon is a pentagon. What would you expect the lenght of its side to be? Explain.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
The area of a regular polygon is 36 square inches. Find the length of a side if the polygon has the given number of sides. Round your answer to the nearest tenth.
a. 3 b. 4 c. 6
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where n = # of sides & s = side length
n = 3: --> s = 9.118 inches
n = 4: --> s = 6.000 inches
n = 5: --> s = 4.574 inches
n = 6: --> s = 3.722 inches
d. Suppose the polygon is a pentagon. What would you expect the lenght of its side to be?
It's between the lengths of 4 & 6. As the # of sides increases, the length decreases.
n = 20 --> s = 1.06788 inches
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