Question

Периметр параллелограмма равен 60 м. Известно, что одна сторона в 4 раз больше другой. Вычисли стороны параллелограмма. Меньшая сторона равна ___ м Большая сторона равна ___ м

Answer 1

Меньшая сторона - х
Большая сторона - 4х
х+х+4х+4х=60
10х=60
х=6
4х=24
Меньшая сторона = 6
Большая сторона = 24

Answer 2

Understanding the problem

We are given that the perimeter of a parallelogram is 60 meters, and one side is 4 times larger than the other side. We need to calculate the lengths of the sides of the parallelogram.

Solution

Let's denote the length of the smaller side as 'x' meters. Since we are given that one side is 4 times larger than the other side, the length of the larger side will be 4 times 'x', which is '4x' meters.

The perimeter of a parallelogram is the sum of the lengths of all its sides. In this case, we have two sides of length 'x' and two sides of length '4x'. Therefore, the perimeter 'P' can be calculated as:

P = 2x + 2(4x)

Given that the perimeter is 60 meters, we can set up the equation:

60 = 2x + 2(4x)

Simplifying the equation: 60 = 2x + 8x 60 = 10x

Now, let's solve for 'x':

10x = 60 x = 60/10 x = 6

So, the length of the smaller side of the parallelogram is 6 meters, and the length of the larger side is 4 times that, which is 24 meters.

Therefore, the smaller side is 6 meters and the larger side is 24 meters.

To summarize: - The length of the smaller side is 6 meters. - The length of the larger side is 24 meters.