Question

Прямоугольник, периметр которого 72см,разрезали на 3 равных квадрата,Найди площадь и периметр каждой части.

Answer 1

нарисуй прямоугольник, разрез на 3 ровных квадрата, сторона квадрата -Х,  тогда периметр прямоугольника- 72=2(AB+BC)=2(X+3X), 72=8X, X=9, площадь квадрата- S=X*X=81, периметр квадрата- P=4X=36

Answer 2

Problem Analysis

We are given a rectangle with a perimeter of 72 cm. This rectangle is then divided into 3 equal squares. We need to find the area and perimeter of each square.

Solution

Let's start by finding the dimensions of the original rectangle. The perimeter of a rectangle is given by the formula: perimeter = 2 * (length + width).

Let's assume the length of the rectangle is L and the width is W. We can set up the following equation based on the given information:

2 * (L + W) = 72

Simplifying the equation, we have:

L + W = 36

Since the rectangle is divided into 3 equal squares, each square will have a side length of L/3.

Finding the Area and Perimeter of Each Square

To find the area of a square, we use the formula: area = side length * side length.

Let's calculate the area and perimeter of each square:

1. Square 1: - Side length = L/3 - Area = (L/3) * (L/3) = L^2/9 - Perimeter = 4 * (L/3) = 4L/3

2. Square 2: - Side length = L/3 - Area = (L/3) * (L/3) = L^2/9 - Perimeter = 4 * (L/3) = 4L/3

3. Square 3: - Side length = L/3 - Area = (L/3) * (L/3) = L^2/9 - Perimeter = 4 * (L/3) = 4L/3

Final Answer

The area and perimeter of each square are as follows:

1. Square 1: - Area = L^2/9 - Perimeter = 4L/3

2. Square 2: - Area = L^2/9 - Perimeter = 4L/3

3. Square 3: - Area = L^2/9 - Perimeter = 4L/3

Please note that the exact values of the area and perimeter depend on the length (L) of the original rectangle, which we don't have.