Area of a Rhombus

Activity

make a rhombus as shown in the figure.

Here, Draw a diagonal BD. Now, the rhombus you made is divided into two triangles.

Hence, the area of rhombus
=
Area of △ABD + Area of △CBD
=
12 × d2 × (OA) + 12 × d2 × (OC)
=
12 × d2 × (OA + OC)
=
12 × BD × AC
=
12 × d1 × d2
So, Area of rhombus = ½ × d₁ × d₂