Question

if the area of an equilateral triangle is equal to the area of a square. prove that the perimeter of the equilateral triangle is greater than the perimeter of the square?

Answer 1

area of square is
${a}^{2}$
and triangle is
$\frac{1}{2} bh$
therefore as "a" is different from "l+b"
perimeter of square is
$4a$
and triangle is
$ab + bc + ca$
therefore perimeter of triangle is greater