Question

a square and an equilateral triangle have equal perimeters. if a side of the triangle is 3cm longer than a side of the square, find the length of a side of the square

Answer 1

let side of square be x
side of triangle = 3+x

perimeter of square =4x
perimeter of triangle = 9+3x

4x = 9 + 3x
x = 9

Answer 2

let side of square be a
so side of triangle atq is a+3
now
since their perimeters are equal
so
3(3+a)=4a
9+3a=4a
9=4a-3a
a=9
so side of square=a=9cm