Question

Периметр прямоугольника 36 см ,найдите площадь квадрата,имеющего такой же периметр

Answer 1

Квадрат имеет равные стороны, поэтому периметр его равен P=4a, где a - сторона квадрата. a=P/4=36 см / 4 = 9 см. Площадь квадрата равна S=a^2 = 9^2 см^2 = 81 см^2.

Answer 2

36:4=9 (см) - одна сторона прямоугольника
9*9=81 (см) - площадь квадрата
      Ответ: 81 см

Answer 3

Finding the Area of a Square with the Same Perimeter as a Given Rectangle

To find the area of a square with the same perimeter as a given rectangle, we can follow these steps:

1. Calculate the Perimeter of the Given Rectangle: - The perimeter of a rectangle is given by the formula: \(2 \times (length + width)\). - Given that the perimeter of the rectangle is 36 cm we can use this information to find the values of length and width.

2. Determine the Side Length of the Square: - Since the perimeter of the square is the same as the rectangle, we can use the formula for the perimeter of a square: \(4 \times \text{side length}\). - By equating the perimeters of the rectangle and the square, we can find the side length of the square.

3. Calculate the Area of the Square: - Once we have the side length of the square, we can use the formula for the area of a square: \(\text{side length}^2\).

Let's proceed with these calculations.

Calculations:

1. Calculate the Perimeter of the Given Rectangle: - Using the formula for the perimeter of a rectangle: \(2 \times (length + width) = 36\). - Solving for the values of length and width.

2. Determine the Side Length of the Square: - Equate the perimeter of the square to the given perimeter of the rectangle: \(4 \times \text{side length} = 36\). - Solve for the side length of the square.

3. Calculate the Area of the Square: - Once we have the side length of the square, use the formula for the area of a square: \(\text{side length}^2\).

Let's perform these calculations step by step.

Step 1: Calculate the Perimeter of the Given Rectangle:

Using the formula for the perimeter of a rectangle: \(2 \times (length + width) = 36\).

We can solve for the values of length and width.

Step 2: Determine the Side Length of the Square:

Equate the perimeter of the square to the given perimeter of the rectangle: \(4 \times \text{side length} = 36\).

We can solve for the side length of the square.

Step 3: Calculate the Area of the Square:

Once we have the side length of the square, we can use the formula for the area of a square: \(\text{side length}^2\).

Let's proceed with these calculations and find the area of the square with the same perimeter as the given rectangle.