What is the area, rounded to the nearest tenth of square inch, of an equilateral triangle that has a perimeter of 24 inches?

27.7 square inches.

Step-by-step explanation:

Let 'a' be the side of equilateral triangle.

Then the perimeter of the triangle = a+a+a=3a

Given: Perimeter of the equilateral triangle = 24 inches

We know that the area of a equilateral triangle is given by :-

Step-by-step explanation:

Perimeter of equilateral triangle =

We are given that an equilateral triangle that has a perimeter of 24 inches

So,  

Area of equilateral triangle =

a is the side

So, Area of equilateral triangle =

So, Area of equilateral triangle =

Hence the area of equilateral triangle is

step-by-step explanation:

1. practice, practice & more practice

2. review errors

3. master the key concepts

do not try to memorise the processes.

4. understand your doubts.

5. create a distraction free study environment

6. create a mathematical dictionary

7. apply maths to real world problems.