Question

2. У прямокутнику одна сторона вдвічі мен- ша за другу. Чому дорівнює периметр, якщо площа становить 50 см²?​

Answer 1

Ответ:

30 см

Пошаговое объяснение:

1 сторона = х см

2 сторона = 2х см

S = 50 см²

Р = ? см

х * 2х = 50

2х² = 50

х² = 50 : 2

х² = 25

х = ± 5

1 сторона = (х) = 5 см

2 сторона = (2х) = 2 * 5 = 10 см

S = 5 * 10 = 50 см²

Р = 2 * (5 + 10) = 2 * 15 = 30 см

Answer 2

Given Information:

We are given that in a rectangle, one side is twice as long as the other side, and the area of the rectangle is 50 cm².

Finding the Perimeter:

To find the perimeter of the rectangle, we need to know the lengths of both sides. Let's assume that the shorter side of the rectangle is 'x' cm. According to the given information, the longer side will be twice as long, so it will be '2x' cm.

Calculating the Area:

The area of a rectangle is calculated by multiplying the length and width. In this case, the length is '2x' cm and the width is 'x' cm. So, the area of the rectangle is:

Area = length * width 50 cm² = (2x cm) * (x cm)

Solving for x:

To find the value of 'x', we can solve the equation for x:

2x² = 50 cm²

Simplifying the Equation:

To simplify the equation, we can divide both sides by 2:

x² = 25 cm²

Finding the Value of x:

To find the value of 'x', we can take the square root of both sides of the equation:

√(x²) = √(25 cm²) x = 5 cm

Calculating the Perimeter:

Now that we know the value of 'x' is 5 cm, we can calculate the lengths of both sides of the rectangle. The shorter side is 5 cm, and the longer side is twice as long, so it is 2 * 5 cm = 10 cm.

To find the perimeter, we add the lengths of all four sides of the rectangle:

Perimeter = 2 * (length + width) Perimeter = 2 * (5 cm + 10 cm) Perimeter = 2 * 15 cm Perimeter = 30 cm

Answer:

Therefore, if the area of the rectangle is 50 cm² and one side is twice as long as the other side, the perimeter of the rectangle is 30 cm.