The perimeter of an equilateral triangle is 77 inches more than the perimeter of a square, and the side of the triangle is 55 inches longer than the side of the square. find the side of the triangle. (hint: an equilateral triangle has three sides the same length.)

143 inches

Step-by-step explanation:

Let the triangle be inches long.

Then the perimeter of the equilateral triangle will be inches.

Let the length of the square also be inches.

Then the perimeter is

It was given that the perimeter of the equilateral triangle is 77 inches more than the perimeter of the square.

So we can write the relation

Also, the side of the triangle is 55 inches longer than the side of the square.

So we write or

We put equation (2) into equation (1) to get;

We expand the bracket to get;

Hence  the triangle is 143 inches long.