Q. 254.4( 22 Votes )

Sanya has a

Answer :

To Find: Area of land each son and daughter have.

Given: Perimeter of land = 400 m


One of the diagonals = 160 m


Concept Used:


If sides of a triangle are a, b, and c, then area of a triangle is given by:



Where s = semiperimeter of the triangle



Diagram:



Explanation:


ABCD is the field, and it is divided by the diagonal BD = 160 m into two equal parts.


The perimeter of rhombus = 400 m


4 × side = 400 m


Side = 100 m


Now, the area of Δ ABD and Δ BDC are equal.


Let us calculate the area of Δ ABD




s = 180 m




Area = 4800 m2.


Hence, each of the children of Sanya will get 4800 m2 of land.


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