Area Of Rhombus

Calculate the side length of the rhombus. Since the perimeter of a rhombus is four times the side length, the side length is:

Use the properties of the rhombus to find the length of the other diagonal. Assume the diagonals of a rhombus are and . We know:

Using the Pythagorean theorem in one of the right triangles:

Substitute and into the equation:

Subtract 576 from both sides:

So,

Therefore,

Calculate the area of the rhombus using the formula:

Substitute the values for the diagonals: