Question

Задан прямоугольник со сторонами 5 см и 9 см найди его периметр и площадь Нарисуйте квадрат с таким же периметром и Найдите его площадь

Answer 1

Ответ:

Периметр квадрата (5+9)×2=28 а площадь 5×9=45 а квадрат с таким же периметром (28) это квадрат со стороной 7 так периметр квадрата Р=а×4 соответственно площадь такого квадрата будет S=7×7=49.

Пошаговое объяснение:

Р=(a+b)×2

S=a×b

P=a×4

S=a×a

Answer 2

Calculating the Perimeter and Area of the Given Rectangle

To find the perimeter and area of the given rectangle with sides of 5 cm and 9 cm, we can use the following formulas:

1. Perimeter (P) of a Rectangle: The perimeter of a rectangle is given by the formula: \[ P = 2 \times (length + width) \]

2. Area (A) of a Rectangle: The area of a rectangle is given by the formula: \[ A = length \times width \]

Let's calculate the perimeter and area of the given rectangle:

- Perimeter (P): \[ P = 2 \times (5 + 9) = 2 \times 14 = 28 \, \text{cm} \]

- Area (A): \[ A = 5 \times 9 = 45 \, \text{cm}^2 \]

Drawing a Square with the Same Perimeter

To draw a square with the same perimeter as the given rectangle (28 cm), we can calculate the side length of the square using the formula for the perimeter of a square:

\[ P_{\text{square}} = 4 \times \text{side length} \]

Solving for the side length: \[ \text{side length} = \frac{P_{\text{square}}}{4} = \frac{28}{4} = 7 \, \text{cm} \]

Now, let's calculate the area of the square with a side length of 7 cm:

- Area (A): \[ A = \text{side length} \times \text{side length} = 7 \times 7 = 49 \, \text{cm}^2 \]

So, the area of the square with the same perimeter as the given rectangle is 49 cm².