Question

знайдіть сторони прямокутника, периметр якого дорівнює 24 см, якщо відомо, що одна із його сторін вдвічі більше другої сторони

Answer 1

Ответ:

Пусть 1 сторона х тогда 2 2х

(х+2х)×2=24

3х=12

х=4 1 сторона

4×2=8 2 сторона

Answer 2

Finding the Sides of a Rectangle with a Perimeter of 24 cm

To find the sides of a rectangle when the perimeter is 24 cm and one side is twice the length of the other side, we can use algebraic equations.

Let's assume that the shorter side of the rectangle is represented by 'x' cm. According to the given information, the longer side is twice the length of the shorter side, so it can be represented as '2x' cm.

The perimeter of a rectangle is given by the formula: perimeter = 2 * (length + width).

In this case, the perimeter is given as 24 cm. Substituting the values into the formula, we get:

24 = 2 * (x + 2x)

Simplifying the equation:

24 = 2 * 3x

Dividing both sides of the equation by 2:

12 = 3x

Finally, dividing both sides of the equation by 3:

x = 4 cm

So, the shorter side of the rectangle is 4 cm, and the longer side is twice that length, which is:

2x = 2 * 4 cm = 8 cm

Therefore, the sides of the rectangle are 4 cm and 8 cm.