Question

Найти стороны параллелограмма АВСД,если его периметр равен 54см,а сторона АВ больше ВС в 2 раза

Answer 1

Одна сторона параллелограмма АВ-х, тогда ВС-2х.
Р=2(АВ+ВС)
54=2(Х+2Х)
3Х=27
Х=9
АВ=9см, 
АВ=СД=9см( противоположенные стороны параллелограмма равны)
ВС=2*9=18см 
ВС=АД=18см

Answer 2

Finding the Sides of Parallelogram ABCD

To find the sides of the parallelogram ABCD, given that its perimeter is 54 cm and the side AB is twice the length of side BC, we can use the following steps:

1. Let's denote the length of side BC as x. 2. Since AB is twice the length of BC, AB = 2x. 3. The perimeter of a parallelogram is given by the formula: P = 2(a + b), where a and b are the lengths of adjacent sides.

Calculating the Lengths of Sides

Using the information provided, we can calculate the lengths of the sides of the parallelogram ABCD:

- Given: Perimeter (P) = 54 cm - Let's denote the length of side BC as a (in cm). - Then, the length of side AB is 2a (in cm).

Applying the Perimeter Formula

We can use the perimeter formula to find the lengths of the sides:

P = 2(a + b)

Substituting the given values: 54 = 2(a + 2a)

Solving for a: 54 = 2(3a) 27 = 3a a = 9

So, the length of side BC (a) is 9 cm, and the length of side AB (2a) is 18 cm.

Therefore, the sides of the parallelogram ABCD are: - AB = 18 cm - BC = 9 cm

This calculation is based on the given information and the formula for the perimeter of a parallelogram.