SOLUTION: If the perimeter of an equilateral triangle of sides x is doubled, by how much does the area increase?

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Question 500660: If the perimeter of an equilateral triangle of sides x is doubled, by how much does the area increase?
Answer by solver91311(24713) About Me  (Show Source):
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If you double the perimeter of an equilateral triangle, you must, perforce, double the length of each of the sides. Since the area of an equilateral triangle is given by a numerical constant multiplied times the square of the measure of one of the sides, if you double the measure of a side, you must increase the area by the square of 2, i.e. 4.

John

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