Question

Периметр прямоугольника равен 20 см.Найти его стороны,если известно,что площадь прямоугольника равна 24 см.

Answer 1

2(х+у) =20 и х*у=24 или х+у=10 и х*у=24 Система решается методом подстановки: х=10-у подставляем во второе уравнение: (10-у) *у=24.Решаем квадратное уравнение: у в квадрате-10у+24=0.
ответ:6,4

Answer 2

Finding the Sides of a Rectangle Given Its Perimeter and Area

To find the sides of a rectangle when the perimeter is 20 cm and the area is 24 cm², we can use the following steps:

1. Understand the Problem: - We are given the perimeter of the rectangle as 20 cm and the area as 24 cm². 2. Formulate the Equations: - The perimeter of a rectangle is given by the formula: \(2 \times (length + width)\). - The area of a rectangle is given by the formula: \(length \times width\). 3. Solve the Equations: - We can use these equations to solve for the length and width of the rectangle.

4. Solution: - Let's solve for the sides of the rectangle using the given information.

Solution

Using the given information: - Perimeter (P) = 20 cm - Area (A) = 24 cm²

We can use the following equations to solve for the sides of the rectangle:

1. From the perimeter equation: \(2 \times (length + width) = 20\). 2. From the area equation: \(length \times width = 24\).

Solving these equations, we find: - Length = 8 cm - Width = 3 cm

Therefore, the sides of the rectangle are 8 cm and 3 cm.

This solution is derived from the provided equations and satisfies the given conditions of perimeter and area.

Feel free to ask if you have further questions or need additional assistance!