A rhombus shaped field has green grass for 18 cows to graze. If each side of the rhombus is 30 m and it's linger diagonal is 48m, how much area of grass field will each cow be getting ?
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Answer:
Given:
⇒ABCD is a rhombus
⇒For ΔBCD
Perimeter
=8+30+30
=108 cm
⇒2S=108 cm, S=54 cm
⇒Area of ΔBCD
A=
s(s−a)(s−b)(s−c)
=
54(54−48)(54−30)(54−30)
=
54×6×24×24
=
72×6
=432m
2
⇒Area of field
=2× Area of ΔBCD
=2×432 m
2
=864 m
2
⇒Area of grass field each cow be getting
=
18
864
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=48 m
2
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