Q. 254.4( 22 Votes )
Sanya has a
To Find: Area of land each son and daughter have.
Given: Perimeter of land = 400 m
One of the diagonals = 160 m
If sides of a triangle are a, b, and c, then area of a triangle is given by:
Where s = semiperimeter of the triangle
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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