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

ABCD is a rhombus. 

Area(∆ABD) = Area(∆BDC). 

In ∆ABD, 

a = 30 m, b = 30 m, c = 48 m. 

∴ Perimeter= a + b + c 

= 30 + 30 + 48 = 108 m

But, Area of whole field = 2 × area of ∆ABD 

= 2 × 432 = 864 sq.m. 

∴ Are required for growing grass for 18 cows is 864 sq.m. 

∴ Area required for growing grass for 1 cow ………. ?? 

\(\frac{864}{18}\) = 48 sq.m.