One of the sides of the parallelogram is 3 times larger than the other. Find the length of the shorter side

One of the sides of the parallelogram is 3 times larger than the other. Find the length of the shorter side if the parallelogram perimeter is 32 cm.

Given:

ABCE – parallelogram,

AB = 3 * BC,

the perimeter of ABCE is 32 centimeters.

Find the lengths of the sides of the parallelogram ABCE: AB, CE, BC, AE -?

Decision:

Consider a parallelogram ABCE. Its opposite sides are equal to each other, then BC = AE, AB = CE.

Let the length of the BC side be x centimeters, then the length of the AB side = 3 * x centimeters. We know that the ABCE perimeter is 32 centimeters. Let’s make the equation:

P avce = AB + CE + BC + AE;

32 = 3 * x + 3 * x + x + x;

32 = x * (3 + 3 + 1 + 1);

8 * x = 32;

x = 32: 8;

x = 4 centimeters – the lengths of the sides BC and AE;

4 * 3 = 12 centimeters – the lengths of the sides AB and CE.

Answer: 4 centimeters; 4 centimeters; 12 centimeters; 12 centimeters.