Question

a rhombus shaped field has green grass for 18 cows to graze. if each side of the rhombus is 30m and it's longer diagonal is 48m, how much area of grass field will each cow be getting?​

Answer 1

Answer:

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Answer 2

Answer:

Let ABCD is a rhombus and length of each side is 30

Length of diagonal AC is 48

From Δ ABC,

Let AB =a =30

AC = b =48

BC = c = 30

Now s = (a+b+c)/2

=> s = (30+48+30)/2

=> s = 108/2

=> s = 54 m

Now area of Δ ABC = √{s*(s-a)*(s-b)*(s-c)}

= √{54*(54-30)*(54-48)*(54-30)}

= √{54*24*6*24}

= √{9*6*24*6*24}

= 3*6*24

= 432 m2

Area of rhombus ABCD = 2* area of Δ ABC (since area of Δ ABC = area of Δ ACD)

= 2* 432

= 864 m2

Now area of grash for 18 cows = 864 m2

So area of grash for 1 cows = 864/18 m2 = 48 m2