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Bingel [31]
2 years ago
15

A polygon has an area of 225 square meters. If the area is tripled, how does each side length change?

Mathematics
1 answer:
krok68 [10]2 years ago
3 0
Let me tell you the process so that you get to the answer
Remember first that the area of a regular polygon with x sides has  each of them a length which can be represented by y 

<span>A = 1/4 * xy^2 * Cot(180/x) </span>
<span>The purpose is to solve for y, so we get </span>
<span>y^2 = 4A/(xCot(180/x)) </span>
<span>y = √(4A/(xCot(180/x)))

The thing we need to change is A in the previous formula and with that we can use the equaation to be a constant. This could be represented by Z
</span><span>Z = √(4/(xCot(180/x)))
so
</span><span>Y = Z√A 
</span><span>If we increase area by a factor s, y increases by a factor of √x.
</span>So if you want to know the triple then you need to increase it by <span> √3 </span> <span>  </span>
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