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Joined: 13 Jan 2018
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WE:Consulting (Consulting)
Re: If the length of each side of an equilateral triangle were increased
[#permalink]
23 Oct 2018, 21:07
Let the length of each side be 'a'
So the area of the triangle is A = \(\sqrt{3}\)/4 \(a^2\)
Now the side is increased by 50% i.e, \(a\) becomes \(1.5a\)
So the area becomes \(\sqrt{3}\)/4 \((1.5a)^2\)
= \(\sqrt{3}\)/4 * \(2.25a^2\)
= 2.25 * \(\sqrt{3}\)/4 \(a^2\)
= 2.25 * A
The area became 2.25 times the initial area, in turn, 125% more than the original area.
OPTION: C