The sides of the parallelogram are 1: 4 and its perimeter is 150 cm, find the sides of the parallelogram.

Given:
ABCE – parallelogram,
AB: BC = 1: 4,
P avce = 150 centimeters.
Find the sides of the parallelogram: AB, BC, CE, AE -?
Decision:
Consider a parallelogram ABC. Its opposite sides are equal.
Let the side length AB = CE = x centimeters, then the side length BC = AE = 4 * x centimeters. We know that the perimeter of a parallelogram is 150 centimeters. Let’s make the equation:
x + x + 4 * x + 4 * x = 150;
x * (1 + 1 + 4 + 4) = 150;
x * 10 = 150;
x = 150: 10;
x = 15 centimeters – the length of the sides AB and CE;
15 * 4 = 60 centimeters – the length of the sides BC and AE.
Answer: 15 centimeters; 60 centimeters; 15 centimeters; 60 centimeters.