Question

The perimeter of a rhombus is 560 meters and one of its diagonals has a length of 76 meters. Find the area of the rhombus.

Answer 1

The perimeter is the sum of the side lengths of a shape.  A diagonal is a line segment joining two vertices of a polygon or polyhedron when those vertices are not on the same edge. We calculate as follows:

Perimeter = 4a
560 = 4a
a = 140 meters

A=(1/2)d√(4a^2 - d^2)
A = 10240.56 m^2