One side of the parallelogram is 6 cm larger than the other, and its perimeter is 48 cm. Find the sides of the parallelogram.

Given:
ABCE – parallelogram,
AB – BC = 6 centimeters,
the perimeter of ABCE is 48 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 = 6 + x centimeters. We know that the ABCE perimeter is 48 centimeters. Let’s make the equation:
P avce = AB + CE + BC + AE;
48 = 6 + x + 6 + x + 5+ x + x;
4 * x = 48 – 12;
4 * x = 36;
x = 36: 4;
x = 9 centimeters – the lengths of the sides BC and AE;
9 + 6 = 15 centimeters – the lengths of the sides AB and CE.
Answer: 15 centimeters; 15 centimeters; 9 centimeters; 9 centimeters.