Thread: Perimeter of an equilateral triangle

The perimeter of an equilateral triangle exceeds the perimeter of a square by 1989cm. The length of each side of the triangle exceeds the length of each side of the square by d cm. The square has perimter greater than 0. How many positive integers are not possible values for d?

t for side of triangle s for side of square

3t = 4s + 1989

t - s = d

t= s +d

3s + 3d = 4s + 1989

3d = s + 1989
d = s/3 + 663

it doesn't seem to make sense.

Pls help.

Originally Posted by Veronica1999

The perimeter of an equilateral triangle exceeds the perimeter of a square by 1989cm. The length of each side of the triangle exceeds the length of each side of the square by d cm. The square has perimter greater than 0. How many positive integers are not possible values for d?

t for side of triangle s for side of square

3t = 4s + 1989

t - s = d

t= s +d

3s + 3d = 4s + 1989

3d = s + 1989
d = s/3 + 663

it doesn't seem to make sense.

Pls help.

663 positive integers are not possible values for d. They are: 1, 2, 3, ... , 663.