Question

Find perimeter of an equilateral triangle whose area is 225√3 sq.m?

Answer 1

Hello,

We know that,

The area of the equilateral triangle can be given as,

$area = \frac{ \sqrt{3} }{4} \times {side}^{2}$

Given,

Here,

Area=225√3 sq. m

From the above mentioned formula,

We have,

225√3=(√3/4)side^2

Solving,

We get

Side^2=225*4

Side=15*2

Side=30m

Now perimeter of equilateral triangle is,

Perimeter =3*side

Perimeter =3*30

Perimeter =90m

Hope this helps!