Please send the answer of this question.
20. Parul has a piece of land which is in the shape of a rhombus (see fig.) She wants her daughter and son to work on the land and produce different crops. She divided the land in two equal parts. If the perimeter of the land is 400 m and one of the diagonal is 160 m, how much area each of them will get for their crops?
Figure
Dear Student,
Since perimeter of Rhombus = 400 m,
each side = 100 m.
Using Pythagoras theorem,
AO² = 100² - 80² = 10000 - 6400 = 3600
AO = 60m
SO AC = 2(AO) =120m
Area of Rhombus = 1/2 * Product of diagonals = 1/2 * 160 * 120 = 9600 m²
The area that each of the children get = 9600/2 = 4800 m²
Regards