Question

If the side of an equilateral triangle is tripled, then number of times the new area becomes to that of previous area is A. three times B. nine times C. Four times D. twenty seven times.
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Answer 1

Answer:

B. nine times

Step-by-step explanation:

Area of equilateral triangle is

$(\sqrt{3} \div 4) \times {side}^{2}$

So if an equilateral triangle side is tripled. That means side is now 3*side

Therefore new area of triangle is:

$(\sqrt{3} \div 4) \times ({3 \times side})^{2}$

Hence, new area of triangle is

${3}^{2} \times previous \: area$

i.e. 9 times the previous area