Question

The length of each side of a square

is 2 inches less than the length of the side of
an equilateral triangle. The perimeters of the
two shapes are the same. Find the lengths of
the sides of each figure.

Answer 1

square's side is 6

triangle's side is 8

Explanation:

let the side of the equilateral triangle be x

then the side of the square is x-2

since the perimeters are equal

4(x-2)= 3x

solve for x

x = 8

and

1. square's side length is 8-2 = 6