A rhombus shaped field has green grass for 18 cows to graze. If each side of the
rhombus is 30 m and its longer diagonal is 48 m, how much area of grass field will each cow be getting?

Let ABCD be a rhombus.

Area of the rhombus ABCD

= 2 × area of

As we know that, in a rhombus, diagonals divides it in two equal parts.

In

AB = 30 m, BD = 48 m, DA=30 m

Now, we know that,

Now, Area of triangle

=

(Since, Heron's formula [area =

=

=

=

=

Thus, from Equation (i),

Area of rhombus

= 2 × 432m

= 864 m

Also, Number of cows = 18

So, therefore, Area of grass field per cow

=