Q5. 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?
To find the area of the rhombus:
We first join the diagonal AC of quadrilateral ABCD. (See figure)
Here, the sides of triangle ABC are,
So, the semi-perimeter of the triangle will be:
Therefore, the area of the triangle given by the Heron's formula,
Hence, the area of the quadrilateral will be:
Therefore, the area grazed by each cow will be given by,