Question

A wire is in the shape of a square having an area of 81 cm². It is then bent in the shape of an equilateral triangle. Find the area of triangle.

Answer 1

Area of square = side²
81 = side²
side =√81 = 9 cm
Perimeter of square= 4*side = 4*9 = 36cm = Length of wire
Perimeter of equilateral triangle= 3*side
36 cm = 3*side
side= 12cm
Area of equilateral triangle= √3/4*side² = √3/4*12² = 62.35cm²(approx)