A piece of land is in the shape of a rhombus ABCD in which each side measures 100m and diagonal AC is 160m long. Find the area of the rhombus.

Question

Philoid · Accepted Answer

Let the sides of triangle be 100m, 160m, and 100m

Semi perimeter,

Now, using Heron’s formula,

= 4800 m²

Now, we know that, diagonal divides a parallelogram into two triangles of equal areas.

Area of parallelogram ABCD = 2(area of ΔABC)

= 2 × 4800

= 9600 m²