Question

A rhombus shaped field has green grass for 16 cows to grace if each side of the rhombus is 40m and its diagonal is 48m,then area of the grass field which each cow can graze is

Answer 1

Step-by-step explanation:

Given  

A rhombus shaped field has green grass for 16 cows to grace if each side of the rhombus is 40 m and its diagonal is 48 m,

Given side of rhombus = 40 m

So AB = BC + CD = AD = 40 m

Also diagonal = 48 m

So BD = 48 m

Now area of rhombus = area of ΔABD + area of ΔBCD

ΔABD

Area of triangle = √s(s – a)(s – b)(s – c)

Here a = 40 m, b = 40 m , c = 48 m

S = a + b + c / 2

  = 40 + 40 + 48 / 2

  = 128 / 2

  = 64 m

Now area of triangle ABD, s = 64, a = 40 , b = 40 and c = 48

                       = √64(64 – 40)(64 – 40)(64 – 48)

                       = √64 (24)(24)(16)

                     =  8 x 4 x 24

                    = 768 sq m

So area of Δ ABD = 768 sq m  

Similarly area of Δ BCD = 768 sq m

Now area of rhombus ABCD = Area of Δ ABD + area of Δ BCD

                                                 = 768 + 768

                                                    = 1536 sq m

Now area of rhombus = 1536 sq m

Given 16 cows to graze the field

Area of each cow will be = Area of rhombus / 16

                                      = 1536 / 16

                                     = 96 sq m

Therefore each cow will get 96 sq m area of grass field.

Reference link will be

https://brainly.in/question/1426070