Question

периметр прямоугольника 66 см.Какова его длина и ширина, если длина в 10 раз больше ширины? решение без уравнения

Answer 1

Perimeter of a Rectangle

To find the length and width of a rectangle given its perimeter, we can use the information provided in the question. Let's break down the problem step by step.

1. We are given that the perimeter of the rectangle is 66 cm. 2. We are also given that the length of the rectangle is 10 times greater than its width.

Let's assume that the width of the rectangle is x cm. According to the given information, the length of the rectangle would be 10x cm.

Calculating the Perimeter

The perimeter of a rectangle is calculated by adding the lengths of all its sides. In this case, we have two equal sides (width) and two equal sides (length).

The formula for the perimeter of a rectangle is:

Perimeter = 2 * (Length + Width)

Substituting the values we have:

66 = 2 * (10x + x)

Simplifying the equation:

66 = 2 * 11x

66 = 22x

Dividing both sides of the equation by 22:

x = 3

So, the width of the rectangle is 3 cm.

Calculating the Length

We know that the length of the rectangle is 10 times greater than its width. Since the width is 3 cm, the length would be:

Length = 10 * Width

Length = 10 * 3

Length = 30

Therefore, the length of the rectangle is 30 cm.

Conclusion

Based on the given information, the width of the rectangle is 3 cm and the length is 30 cm.