One of the sides of the parallelogram is 6 times smaller than the other side.

One of the sides of the parallelogram is 6 times smaller than the other side. Find the length of the longer side if the parallelogram perimeter is 56 cm.

Let’s solve this problem using the equation.
In a parallelogram, the opposite sides are equal to each other. Let the length of the first side be x centimeters, then the length of the second side is 6 * x centimeters. We know that the perimeter of the parallelogram is 56 centimeters. Let’s make the equation:
x + x + 6 * x + 6 * x = 56;
x * (1 + 1 + 6 + 6) = 56;
14 * x = 56;
x = 56: 14;
x = 4 centimeters – the length of one of the opposite sides;
4 * 6 = 24 centimeters – the length of the second of the opposite sides.
Answer: 4 centimeters; 4 centimeters; 24 centimeters; 24 centimeters.