Q4. - Geometry

Question

Find the area of each figure.

Step-by-Step Solution

Answer

The area of given figure is$4\sqrt{3}$  Square units.

Step 1. Given information.

The sides of triangle are 4 .

Step 2. Concept used.

An equilateral triangle is a triangle in which all three sides have the same length. So, the given triangle is an equilateral triangle as the sides of triangle are equal.

Area of equilateral triangle can be found using the formula 

 $A=\frac{\sqrt{3}}{4}{a}^2$

Where, 

$a=$  Side of an equilateral triangle. 

Step 3. Find the area of given figure.

Calculation:

 $A=\frac{\sqrt{3}}{4}{a}^2$

$=\frac{\sqrt{3}}{4}{\left(4\right)}^2$

     

 $=4\sqrt{3}$     Square units

Therefore, the area of given figure is $4\sqrt{3}$ Square units.