Question

a rhombus shaped field has green grass from 18 pouch to grass cow if each side of the Rhombus hundred and long diagram is 160 how many area of feel each cow getting​

Answer 1

Answer:

Let ABCD be a rhombus of side 30m

AB=BC=CD=DA=30m

Also, diagonal=48m

BD=48m

Area of rhmbus=Area△ABD+Area△BCD

For △ABD,

Area of triangle=

s(s−a)(s−b)(s−c)

Here,s is the semi perimeter, and a,b,c are the sides of the triangle.

Here a=30m,b=30m and c=48m

S=

2

a+b+c

=

2

30+30+48

=

2

108

=54m

Area of △ABD=

s(s−a)(s−b)(s−c)

Here a=30m,b=30m ,c=48m and s=54,

=

54(54−30)(54−30)(54−48)

=

54×24×24×6

=432m

2

Hence Area of △ABD=432m

2

As both △ABD and △BCD have the same sides,

Area of △BCD=432 m

2

So, Area of rhombus ABCD

= Area of △ABD + Area of △BCD=432+432=864m

2

Thus, Area of Rhombus=864m

2

Given that 18 cows to graze the field.

So, Area of 18 cows=Area of the rhombus.

Area of Each cow=

18

Areaofrhombus

=

18

864

=48m

2

Thus, each cow will get 48m

2

area of the grass field.