Question

Sanya has a piece of land which is in the shape of a rhombus (see Fig. 12.13). She wants her one daughter and one 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 diagonals is 160 m, how much area each of them will get for their crops? ​

Answer 1

Answer:

In the attachment

In the attachment...

Hope This helps you mate ☺️

#Siddharth here!

Answer 2

Alternative Method:-

Draw CE$\perp$BD

As BD = 160m,we have

DE = 160m÷2 = 80m

And, DE²+CE²=DC², which gives

CE = $\sqrt{DC²-DE²}$

$\implies$CE = $\sqrt{100²-80²}$m= 60m

Therefore, Area of ∆BCD = $\frac{1}{2}×160×60$m² = 4800m².