Question

A rhombus shaped field has green grass for 18 cows to graze. If each side of the rhombus is 30m and its longer diagonal is 48m. How much area of grass will each cow get?​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

Step-by-step explanation:

Let ABCD is a rhombus shaped field whose each side is 30m and longer diagonal AC is 48m.

Clearly, the diagonal AC divides the rhombus into two triangles, ΔABC and ΔADC have equal perimeters.

Now, semi perimeter of ΔABC,

s=a+b+c/2

=30+30+48/2

=108/2

=54m

Therefore,of ΔABC

=√s(s-a)(s-b) (s-c)

=√54(54-30)(54-30)(54-48)

=√54(24)(24)(6)

=√18(3)(24)(24)(6)

=18(24)

=432m sq

Therefore,area of rhombus ABCD =2(area of ΔABC

=2(432)

=864m sq

Now, each cow will get =864/18=48m sq

Hence, each cow will get 48m sq area.