Question

Периметр паралелограма 84 см. Знайти сторони паралелограма, якщо одна з них на 20 см менша за другу.

Answer 1

Perimeter of a Parallelogram

To find the sides of a parallelogram when one side is 20 cm smaller than the other, we need to use the formula for the perimeter of a parallelogram.

The perimeter of a parallelogram is given by the formula:

Perimeter = 2 * (a + b)

where a and b are the lengths of the adjacent sides of the parallelogram.

In this case, we are given that the perimeter of the parallelogram is 84 cm, and one side is 20 cm smaller than the other.

Let's assume that the longer side of the parallelogram is x cm. Then the shorter side would be x - 20 cm.

Using the formula for the perimeter, we can set up the equation:

2 * (x + (x - 20)) = 84

Simplifying the equation:

2 * (2x - 20) = 84

4x - 40 = 84

4x = 124

x = 31

Therefore, the longer side of the parallelogram is 31 cm, and the shorter side is 31 - 20 = 11 cm.

So, the sides of the parallelogram are 31 cm and 11 cm.