Find the height of the rhombus if its area is 54 and its side is 4.

We are given a rhombus whose area is 54 square units, and the side of the rhombus is also known and it is equal to 4 units.

In order to find the height of a rhombus, we will apply the formula for calculating the area of a rhombus through the product of a side by the height dropped on that side.

Let’s write the formula:

S of the rhombus = a * ha.

We express using identical transformations the height from the formula:

ha = S / a.

It remains for us to substitute the values into the formula and perform calculations:

ha = S / a = 54/4 = 13.5.

Answer: 13.5 rhombus height.