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 m^{2}.

**Hence, each of the children of Sanya will get 4800 m ^{2} of land.**

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