Question

ПОМОГИТЕ ОЧЕНЬ СРОЧНО! ЕСТЬ КТО НИБУДЬ УМНЫЙ?Периметр параллелограмма равен 48 см. найдите стороны параллелограмма если: А)одна сторона на 3см больше другой; Б)одна из сторон в два раза больше другой. Если можно то с оформлением и фото!

Answer 1

Периметр паралелограмма - Р=2(a+b)
а) Пусть другая сторона будет х см, а одна - (х+3) см. Периметр паралелограмма 48 см. Сложим уравнение:
$P=2(a+b) \\ 48=2(x+x+3)|:2 \\ 24=2x+3 \\ 2x=24-3 \\ 2x=21 \\ x=21:2 \\ x=10.5$
Итак, вторая сторона равна 10,5 см, а одна - 10,5+3=13,5 см.

Ответ: 10,5 см и 13,5см.

б) Пусть другая сторона равна х см, а одна - 2х см. Периметр паралелограмма равна 48 см. Сложим уравнение
$P=2(a+b) \\ 48=2(x+2x)|:2 \\ 24=3x \\ x=24:3 \\ x=8$
Значит, одна сторона равна 2х=2*8=16 см, а вторая 8см

Ответ: 16см и 8 см

Answer 2

Perimeter of a Parallelogram

To find the sides of a parallelogram given its perimeter, we need to consider two scenarios: when one side is 3 cm longer than the other, and when one side is twice as long as the other.

Let's solve each scenario separately.

# Scenario A: One side is 3 cm longer than the other

Let's assume the shorter side of the parallelogram is represented by x cm. According to the given information, the longer side will be x + 3 cm.

The perimeter of a parallelogram is calculated by adding the lengths of all four sides. In this case, the perimeter is given as 48 cm.

So, we can set up the equation:

2(x + x + 3) = 48

Simplifying the equation:

4x + 6 = 48

4x = 42

x = 10.5

Therefore, the shorter side of the parallelogram is 10.5 cm, and the longer side is 13.5 cm.

# Scenario B: One side is twice as long as the other

Let's assume the shorter side of the parallelogram is represented by x cm. According to the given information, the longer side will be 2x cm.

Using the same perimeter equation as before:

2(x + 2x) = 48

Simplifying the equation:

4x = 48

x = 12

Therefore, the shorter side of the parallelogram is 12 cm, and the longer side is 24 cm.

Summary of Results

For Scenario A: - Shorter side: 10.5 cm - Longer side: 13.5 cm

For Scenario B: - Shorter side: 12 cm - Longer side: 24 cm

Please note that the provided information does not specify the angles or other dimensions of the parallelogram. If you need further assistance or have any additional questions, feel free to ask!