The area of the rhombus is 15, its height is 3. Find the perimeter of the rhombus.

It is known from the condition that the area of the rhombus is 15, and its height is 3.

Let’s remember the formula for finding the area of a rhombus through the side and the height dropped on it.

Rhombus area:

S = h * a, where h is the height of the rectangle and a is the side to which the height is dropped.

Let’s plug in the known values and solve the resulting equation.

3a = 15;

We are looking for a variable as an unknown factor, for this we divide the product by a known factor:

a = 15: 3;

a = 5.

We are looking for the perimeter of the rhombus by the formula:

P = 4a;

P = 4 * 5 = 20 rhombus perimeter.



One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.