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in Area of Plane Figures by (31.2k points)
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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?

1 Answer

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Best answer

Here triangles ABC and ADC are congruent

ar (∆ABC) = ar (∆ADC)

Also triangles ABC and ADC have equal perimeters.

Therefore, area of rhombus ABCD 

= 2 x area of ∆ABC = 2 x 432 

= 864 m2

Also area of grass field each cow will graze 

\(\frac { 864 }{ 18 }\) m2 = 48 m2.

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