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 48m how much area of grass field will each cow be getting

Answer 1

Answer: 48 sq. Metres of grass

Step-by-step explanation:

We need to find the length of the other diagonal of the rhombus to find the area of the field

So we know one of the diagonals and the sides of the rhombus

We also know that diagonals of a rhombus are perpendicular bisectors of each other

So using this, we can find the other diagonal of the rhombus by using the Pythagoras theorem.

=> (30)^2 = (48/2)^2 + (X)^2 [ let X be the value of half the unknown diagonal]

Solving the equation we get X = 18

Therefore, the length of the other diagonal is 18*2 = 36

Area of a rhombus = (1/2)*(diagonal 1)*(diagonal 2) = (1/2)*(36)*(48) = 864

Each cow will get (area of the rhombus) / (total number of cows) area of grass to feed on

Therefore, each cow will get 864 / 18 = 48 sq. metres of grass to feed on