A rhombus field has green grass for 20 cows to graze if each side
of the Rhombus is 52 M and longer diagonal is 96 M how much area of the grass field will each cow be getting
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Step-by-step explanation:
Since a rhombus has all its sides equal ,each side =52m
Diagonal = 96m
The rhombus can be divided equally into two triangles , ∆1 and ∆2
In ∆1: a= 52 m
b=52 m
c=96m
Using heron's formula ;
Semi-perimeter (s)= a+b+c/2
=200/2=100
Area of ∆1= √s(s-a)(s-b)(s-c)
=100(100-52)(100-52)(100-96)
√100*48*48*4
=√10*10*8*6*8*6*2*2
=10*8*6*2
=960m^2
∆1=∆2
∆2 area=960 m^2
Area of rhombus = ∆1+∆2
=960+960=1920 m^2
Therefore,area of grass for each cow= 1920/20=96m^2
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