The perimeter of an isosceles triangle is 28 cm. Find the sides of the triangle if its base is 4 cm larger than the side.

Let the sides of this triangle be x, then its base is x + 4.

The perimeter of a triangle is equal to the sum of the lengths of its sides, we will compose an equation for the perimeter of the triangle:

x + x + x + 4 = 28;

3 * x + 4 = 28;

3 * x = 24;

x = 24/3 = 8.

This means that the side of this isosceles triangle is 8 cm, and the base is 8 + 4 = 12 cm.