taylornae167 taylornae167

08-12-2016
Mathematics

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a square with a side length of x+6 has the same perimeter as an equilateral triangle with a side length of 4x. what is the area of the square

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wizard123 wizard123

09-12-2016

First equate the perimeters:
4(x+6) = 3(4x)

Distribute:
4x +24 = 12x

Solve for x:
8x = 24
x = 3

Sub in x=3 into x+6 to find length of side:
3+6 = 9

Find Area of square:
Area = 9*9 = 81

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