Question

Одна із сторін паралелограма в 5 разів більша за другу, а його периметр дорівнює 48 см. Знайдіть сторони паралелограма.

Answer 1

Ответ:

4, 20, 4, 20

Объяснение:

x+5x+x+5x=48

12x=48

x=4

Answer 2

Finding the sides of a parallelogram

To find the sides of a parallelogram, we need to use the information given in the problem. Let's break down the problem step by step:

1. One side of the parallelogram is 5 times larger than the other side. 2. The perimeter of the parallelogram is 48 cm.

Let's assume the shorter side of the parallelogram is represented by 'x'. According to the problem, the longer side is 5 times larger, so it can be represented as '5x'.

The perimeter of a parallelogram is calculated by adding the lengths of all four sides. In this case, we have two sides of length 'x' and two sides of length '5x'. Therefore, the perimeter equation can be written as:

Perimeter = 2x + 2(5x)

Given that the perimeter is 48 cm, we can set up the equation:

48 = 2x + 2(5x)

Simplifying the equation:

48 = 2x + 10x

Combining like terms:

48 = 12x

Now, we can solve for 'x' by dividing both sides of the equation by 12:

x = 48 / 12 x = 4

So, the shorter side of the parallelogram is 4 cm, and the longer side is 5 times larger, which is 5 * 4 = 20 cm.

Therefore, the sides of the parallelogram are 4 cm and 20 cm.