Question

Периметр параллелограмма равен 50 см.Найти стороны параллелограмма ,если одна из сторон в 4 раза больше другой .

Answer 1

АВ=СD

BC=AD(по признаку параллелограмма)

Пусть AB-x,

тогда BC-4x

x+x+4x+4x=50

10x=50

x=50/10

x=5.

AB=CD=5

BC=AD=5*4=20

Ответ:5 и 20 см.

Answer 2

Perimeter of a Parallelogram

To find the sides of a parallelogram when the perimeter is 50 cm and one side is 4 times larger than the other, we can use the following steps:

1. Let's assume the length of the shorter side is x cm. 2. Since one side is 4 times larger than the other, the length of the longer side is 4x cm. 3. The perimeter of a parallelogram is calculated by adding the lengths of all four sides. In this case, the perimeter is given as 50 cm. 4. We can set up an equation to represent the perimeter: 2x + 2(4x) = 50. 5. Simplifying the equation, we get 2x + 8x = 50. 6. Combining like terms, we have 10x = 50. 7. Dividing both sides of the equation by 10, we find x = 5.

Therefore, the length of the shorter side is 5 cm and the length of the longer side is 20 cm.