Find the sides of an isosceles triangle whose perimeter is 54 cm, the base is 4 times smaller than the side.

Let the base of an isosceles triangle be equal to X cm. Then each side of it is equal to 4X (since the sides of an isosceles triangle are equal).
The perimeter of a triangle is equal to the sum of all its sides, which, according to the problem, equals 54 cm.
Let’s make the equation:
X + 4X + 4X = 54
9X = 54
X = 6
This means that the length of the base of the triangle is 6 cm, and the sides are 4×6 = 24 (cm)
Answer: 6 cm, 24 cm, 24 cm.