Question

the area of an equilateral triangle is numerically equal to its perimeter find its perimeter correct to two decimal places

Answer 1

Perimeter = 3 × side
Area = side² × √3/4


Given that area is equal to perimeter,



Then,


3 × side = side² × √3/4

3 × 4 = (side² × √3)/(side)

12 = side × √3

12/√3 = side

(12×√3)/(√3×√3) = side


12√3/3 = side

==========================

Perimeter = 3×side

Perimeter = 3 × (12√3)/3

Perimeter = 12√3

Perimeter = 12 × 1.732

Perimeter = 20.784 units



I hope this will help you


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