Question

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?

Answer 1

Clearly, the diagonal AC of the rhombus divides it into two congruent triangles. 

For triangle ABC, a = b = 30 m, c = 48 m. 

∴ s = a +b + c/ 2  =   30 +30 + 48 /2 m = 54 m 

∴ Area of the rhombus = 2 × 432 m² = 864 m² 

Number of cows = 18 

Hence, area of the grass field which each cow gets 

= 864/ 18 m² = 48 m² Ans.