Question

find the percentage increase in the area of a triangle if its each side is doubled

Answer 1

Here, We will take our favourite equalateral triangle who area is

Area A
${ \sqrt{3} } \div 4a ^{2}$
and When there's sides are doubled then ,

New Area A' =

$\sqrt{3} \div 4(2a)^{2}$
Therefore finding the increase in triangle area

A'-A = 3✓3a^2 ÷ 4

Therefore in % = ,

A'-A * 100
A

3✓3a^2 ÷ 4 * 100 === 300% is the answer
----------------
✓3a^2 ÷ 4