To find the altitude of a rhombus, we can use the formula for the area of a parallelogram, which is applicable to a rhombus as well.

The formula for the area of a parallelogram is: Area = base * height

In a rhombus, the base is equal to one side length, and the height is the altitude.

Let’s assume the side length of the rhombus is “s” and the altitude is “h”.

Given that the area of the rhombus is 56 m², we can write the equation as:

56 = s * h

We are also given that the perimeter of the rhombus is 28 m. Since a rhombus has four equal sides, each side length is 28/4 = 7 m.

Substituting the value of s into the equation, we have:

56 = 7 * h

Dividing both sides of the equation by 7, we get:

h = 8 m

Therefore, the altitude of the rhombus is 8 m.