Question

Периметр прямокутника дорівнює 96см. Знайдіть його сторони, якщо вони відносяться як 1:3.​

Answer 1

Стороны прямоугольника попарно равны.

Периметр прямоугольника - сумма длин его сторон.

Меньшую сторону возьмём за x, тогда большая сторона - 3х.

Составим и решим уравнение.

3х+3х+х+х=96

8х=96

х=12

Значит, две его стороны = 12см, а две другие по 12*3=36см.

Ответ: 36, 12, 36, 12.

Answer 2

Problem Analysis

We are given that the perimeter of a rectangle is 96 cm and the sides are in the ratio of 1:3. We need to find the lengths of the sides.

Solution

Let's assume that the shorter side of the rectangle is x cm. According to the given ratio, the longer side will be 3x cm.

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

In this case, the perimeter is 96 cm, so we can write the equation as: 2(x + 3x) = 96

Simplifying the equation: 2(4x) = 96 8x = 96 x = 12

Therefore, the shorter side of the rectangle is 12 cm, and the longer side is 3 times that, which is 36 cm.

Answer: The shorter side of the rectangle is 12 cm, and the longer side is 36 cm.

Explanation

To solve this problem, we used the formula for the perimeter of a rectangle and the given ratio of the sides. By setting up an equation and solving for the unknown variable, we were able to find the lengths of the sides of the rectangle.

I hope this helps! Let me know if you have any further questions.