# The sides of the parallelogram are 1: 2 and its perimeter is 30 cm. Find the sides of the parallelogram.

Given:
ABCE – parallelogram,
AB: BC = 1: 2,
the perimeter of ABCE is 30 centimeters.
Find the lengths of the sides of the parallelogram ABCE: AB, CE, BC, AE -?
Solution:
Consider a parallelogram ABCE. Its opposite sides are equal to each other, then BC = AE, AB = CE.
Let the length of the side AB be x centimeters, then the length of the side BC = 2 * x centimeters. We know that the ABCE perimeter is 30 centimeters. Let’s make the equation:
P avce = AB + CE + BC + AE;
30 = 2 * x + x + 2 * x + x;
x * (2 + 1 + 2 + 1) = 30;
6 * x = 30;
x = 30: 6;
x = 5 centimeters – the lengths of the sides AB and CE;
2 * 5 = 10 centimeters – the lengths of the sides BC and AE.
Answer: 5 centimeters; 5 centimeters; 10 centimeters; 10 centimeters.

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