1.

anya has a piece of land which is in the shape of a rhombus13). She wants her one daughter and one son to work on the land andthe land in two equal parts. If the perimeter of490 m and one of the diagonals is 160 m, how much area each of them wills theEam. theproduce different crops. She dividedthe langet for their crops?d is

Answer»

Let ABCD be the field. Given perimeter = 400 m

So, each side = 400/4 = 100 m

Diagonal BD = 160 m

Let a = 100 m, b = 100 m, c = 160 m

∴s = (a + b + c)/2 = (100 + 100 + 160)/2 = 180 m.

Therefore, Area of△ABD = root under (√s(s - a)(s - b)(s - c))

=root under (√180(180 - 100)(180 - 100)(180 - 160))

=root under (√180 x 80 x 80 x 20) = 4800 m2

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