Question

Периметр ромба составляет 50% от периметра прямоугольника. Найдите длины сторон ромба, если периметр прямоугольника ра- вен 60 см. Помогите пожалуйста решить ​

Answer 1

Ответ:

Пошаговое объяснение:

1) 50% от 60 = 0.5*60=30см - периметр ромба

2) по формуле периметр ромба P=4a=30

4a=30

a=30:4=7,5 см

У ромба все стороны равны

Ответ длины сторон ромба равны 7,5 см

Answer 2

Finding the Perimeter of the Rectangle

To find the lengths of the sides of the rhombus, we first need to find the perimeter of the rectangle. The problem states that the perimeter of the rectangle is 60 cm.

Calculating the Perimeter of the Rhombus

The problem also states that the perimeter of the rhombus is 50% of the perimeter of the rectangle. To find the perimeter of the rhombus, we can use the formula:

Perimeter of Rhombus = 0.5 * Perimeter of Rectangle

Substituting the given value of the perimeter of the rectangle (60 cm) into the formula, we get:

Perimeter of Rhombus = 0.5 * 60 cm = 30 cm

Finding the Lengths of the Sides of the Rhombus

A rhombus is a quadrilateral with all sides of equal length. Since the perimeter of the rhombus is 30 cm, and all sides are equal, each side of the rhombus will be:

Length of each side of the Rhombus = Perimeter of Rhombus / 4

Substituting the value of the perimeter of the rhombus (30 cm) into the formula, we get:

Length of each side of the Rhombus = 30 cm / 4 = 7.5 cm

Therefore, the lengths of the sides of the rhombus are 7.5 cm each.

Conclusion

The lengths of the sides of the rhombus are 7.5 cm each, given that the perimeter of the rectangle is 60 cm and the perimeter of the rhombus is 50% of the perimeter of the rectangle.