Question

A rhombus shaped field has green grass for 18 cows to graze. if each side of rhombus is 30 and its longer diagonal is 48 metre ,how much area of grass field will each cow be getting.​

Answer 1

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

=432m²

⇒Area of field

=2× Area of ΔBCD

=2×432 m² =864 m ²

⇒Area of grass field each cow be getting

=

$\frac{864}{18} = 48m {}^{2}$

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