Question

Периметр параллелограма равен 48 см. Найдите стороны параллелограма, если одна сторона на 3 см больше другой

Answer 1

ABCD - параллелограмм
AB=CD
AD=BC
P=48
а)AB=CD=x
  AD=BC=x+3
  AB+CD+BC+AD=48
  x+x+x+3+x+3=48
  x=10,5
 
  AD=BC=10,5+3=13,5

Answer 2

Perimeter of a Parallelogram

To find the sides of a parallelogram when one side is 3 cm longer than the other and the perimeter is 48 cm, we can use the formula for the perimeter of a parallelogram.

The formula for the perimeter of a parallelogram is:

Perimeter = 2 * (Length + Width)

Let's assume that the shorter side of the parallelogram is represented by x cm. Since one side is 3 cm longer than the other, the longer side can be represented by x + 3 cm.

According to the given information, the perimeter is 48 cm. Substituting the values into the formula, we get:

48 = 2 * (x + (x + 3))

Simplifying the equation:

48 = 2 * (2x + 3)

48 = 4x + 6

Subtracting 6 from both sides:

42 = 4x

Dividing both sides by 4:

x = 10.5

Therefore, the shorter side of the parallelogram is 10.5 cm, and the longer side is 13.5 cm (10.5 + 3).

So, the sides of the parallelogram are 10.5 cm and 13.5 cm.