Question

a copper wire when bent in the from of an equilateral triangle encloses an area of 25√3cm2 if the same wire is bent into the form of a square,find the area of the square

Answer 1

as w know that

area of equilateral triangle = root 3 /4 × side ^2

25root 3 = root3 /4 × side^2

side^2 = 25 root3 × 4/ root 3

side^2 = 25 × 4

side = 10 cm

perimeter of triangle = 10 × 3

= 30 cm

so lenght of wire is 30 cm

If it is bend into square

the side = 30/4

= 7 . 5

area of square = side ^2

= 7.5^2

= 56.25 cm^2