The sides of a parallelogram relate to each other as 1: 2, and its pre-meter is 30 cm.
September 29, 2021 | education
| 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;
BC = AD.
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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