# The sides of a parallelogram relate to each other as 1: 2, and its pre-meter is 30 cm.

The sides of a parallelogram relate to each other as 1: 2, and its pre-meter is 30 cm. Find the sides of the parallelogram.

A parallelogram is a quadrangle ABCD, in which the sides AB and CD, as well as BC and AD are parallel in pairs, and have equal length.

AB = CD;

Since the length of the sides of the parallelogram is 1: 2, and the perimeter is 30 cm, we express these sides as follows:

x is the length of the sides AB and CD;

2x – the length of the sides ВС and АD;

x + 2x + x + 2x = 30;

6x = 30;

x = 30/6 = 5;

AB = CD = 5 cm;

ВС = АD = 2,5 = 10 cm.

Answer: sides AB and CD are 5 centimeters, sides BC and AD are 10 centimeters.

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