Question

5 класс Одну сторону квадрата увеличили на 9 см, а другую уменьшили в 5 раз. В результате получили прямоугольник, периметр которого равен 66 см. Найти длину стороны квадрата. Просто написать как решить, то есть уравнение.

Answer 1

X - 1/5 стороны квадрата
X+x*5+9=66:2
X*6+9=33
X*6=33-9=24
X=4
4*5=20
Ответ:20.
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Answer 2

Problem Analysis

We are given a square, where one side is increased by 9 cm and the other side is decreased by 5 times. The resulting shape is a rectangle with a perimeter of 66 cm. We need to find the length of the side of the original square.

Solution

Let's assume the original side length of the square is x cm.

According to the problem, one side of the square is increased by 9 cm, so the length of one side of the resulting rectangle is x + 9 cm.

The other side of the square is decreased by 5 times, so the length of the other side of the resulting rectangle is x / 5 cm.

The perimeter of a rectangle is given by the formula: 2 * (length + width).

Using this formula, we can write the equation for the perimeter of the resulting rectangle:

2 * (x + 9 + x / 5) = 66

Simplifying the equation:

2x + 18 + 2x / 5 = 66

Multiplying through by 5 to eliminate the fraction:

10x + 90 + 2x = 330

Combining like terms:

12x + 90 = 330

Subtracting 90 from both sides:

12x = 240

Dividing both sides by 12:

x = 20

Therefore, the length of the side of the original square is 20 cm.

Answer

The length of the side of the square is 20 cm.