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?
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Step-by-step explanation:
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Step-by-step explanation:
⇒The Diagonal of Rhombus divide the rhombus into two equal congruent triangle .
Given,
a = 30 m
b = 30 m
c = 48 m
Now Semi - Perimeter find :
= a + b + c /2
= 30 + 30 + 48 / 2 = 54 m
Using Heron's Formula :
=√ s(s-a) (s-b) (s-c)
=√ 54 x 24 x 24 x 6
Now Area of Grass Field = 2 x Area of triangle
⇒ 2 x 432 m²
⇒864 m²
Now area of grass field will each cow be grazing :
⇒864/18 = 48 m²(Answer)
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