# Find the sides of the parallelogram ABCD, if its perimeter is 24 cm, and the side AB is 2 times larger than BC.

July 28, 2021 | education

| The perimeter of a figure is the sum of all its sides. We know the perimeter of the parallelogram, which means that the sum of all its sides is 24 cm.In the parallelogram, the opposite sides are parallel and equal, which means:

AB = DC;

AD = BC;

Let’s solve the problem using the equation, where:

x – side of the aircraft;

2x – side AB (since it is twice more than BC);

Let’s compose the equation for the perimeter:

x + x + 2x + 2x = 24 cm;

6x = 24;

x = 24/6;

x = 4 cm – side BC = AD;

2x = 2 * 4 = 8 cm – side AB = DC.

Answer: 4 cm, 4 cm, 8 cm, 8 cm

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