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bvsarathi
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l0rrie
Hmmm I tried doing this one but got stuck sooo bad.. I dont understand why ur dividing by 4.. 3a represents the whole side right, so if you just take 'a' and divide by 4 aren't you talking half of 1 side? I know it's right i just don't seem to get it :(

3a is sum of all sides [ i.e Perimeter] where a = length of 1 side.

Area of Equilateral Triangle is given by (\(\sqrt{3}\)/4) * \(a^2\)

We need to equate Area and Perimeter.
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Perimeter: X
One Side: X/3
Area of equilateral triangle : ((Root3)/4)*side^2 = ((Root3)/4)* (X/3)^2 = X^2/(12Root3).

Above expression is equal to X.

Solve for X to get 12Root3.

What??? It's not in the answer. I am confused. Help please!
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bvsarathi
If the area of an equilateral triangle is x square meters and the perimeter is x meters, then what is the length of one side of the triangle in meters?

The question wording is a little confusing. Area is x \(m^2\)

(A)6
(B)8
(C)4root2
(D)2root3
(E)4root3

Let the side of the triangle be "s"

\(\sqrt{3}/4 * s^2 = x\)

& \(x = 3s\)

Substituting the value of x in 1st equation

\(\sqrt{3}/4 * s^2 = 3 s\)

Thus, \(s = 4\sqrt{3}\)
Hence (E)



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