Question

if each side of eq. triangle is triples then what is %increase in area

Answer 1

You can take the side as x also

Answer 2

We know that, Area of triangle which is Equilateral triangle is √3/4*side

Let the side be a

Then area is √3/4a²

Now a=3a

So,Area of triangle is √3/4(3a)²= 9(√3/4a²)

%increase in area = area after increase of side - earlier area /earlier area *100

= 9(√3/4a²)- √3/4a²/ √3/4a²*100

= √3/4a²(9-1)/ √3/4a²*100

= (9-1)*100

=800%

Therefore, Percent increase in area is 800%