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

August 30, 2021 | education

| 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.