Question

Периметр прямоугольника 16 см. Чему равна сторона квадрата с таким же периметром

Answer 1

Р=2а,
а=Р/2
16/2=8 см - сторона квадрата

Answer 2

Calculation of the Perimeter of a Rectangle

To find the perimeter of a rectangle, you need to know the lengths of its sides. The formula for the perimeter of a rectangle is:

Perimeter = 2 * (Length + Width)

In this case, the perimeter of the rectangle is given as 16 cm. Let's assume the length of the rectangle is 'a' cm and the width is 'b' cm. Using the formula, we can set up the equation:

16 = 2 * (a + b)

Now, we need to find the value of 'a' and 'b' that satisfies this equation.

Calculation of the Side Length of a Square with the Same Perimeter

A square is a special type of rectangle where all sides are equal in length. So, if we have a rectangle with a given perimeter, we can calculate the side length of a square with the same perimeter.

Let's assume the side length of the square is 's' cm. The formula for the perimeter of a square is:

Perimeter = 4 * s

Since we know that the perimeter of the rectangle is 16 cm, we can set up the equation:

16 = 4 * s

Now, we need to find the value of 's' that satisfies this equation.

Solution

To find the side length of the square with the same perimeter as the given rectangle, we can equate the formulas for the perimeters of the rectangle and the square:

2 * (a + b) = 4 * s

Since we don't have the values of 'a' and 'b', we cannot directly calculate the side length of the square. However, we can make some observations based on the given information.

From the equation 16 = 2 * (a + b), we can see that the sum of the lengths of the sides of the rectangle must be 8 cm. This means that the lengths of the sides of the rectangle can be any two numbers that add up to 8.

For example, if we assume the length of the rectangle is 4 cm, then the width would also be 4 cm. In this case, the perimeter of the rectangle would be 2 * (4 + 4) = 16 cm. The side length of the square with the same perimeter would be 16 / 4 = 4 cm.

Similarly, if we assume the length of the rectangle is 5 cm, then the width would be 3 cm. In this case, the perimeter of the rectangle would be 2 * (5 + 3) = 16 cm. The side length of the square with the same perimeter would be 16 / 4 = 4 cm.

Therefore, based on the given information, the side length of the square with the same perimeter as the given rectangle can be 4 cm.

Please note that this solution assumes that the rectangle is not a square. If the rectangle is a square, then the side length of the square would be equal to the length of the rectangle.

Summary: - The perimeter of the rectangle is given as 16 cm. - The side length of the square with the same perimeter can be 4 cm.