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?
Answers
Answer:
hey mates your answer is here
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
may be it's help full for u
Answer:
please refer to the attachment.....