Hello, snigdha!

is a parallelogram.

Point is on such that: .

produced meets produced at

If area of , find:

1. area of

2. area of

3. area of parallelogramCode:D R C o - - - - - - - - - + - -o / * : / / * : / / * : / / * :/ / o P / /: * / / : * o - - - - - - - - - - - -o- + - - - - - o A B S Q

Draw line segment

. . Area of

Draw altitude through point

Since , then: .

. . That is: .

Area of

Area of

. . Hence: .

Then: .

Hence: . .(1)

We see that: .

. . and has twice the base and twice the height of

Hence: . .(2)

The area of is: .

Hence:. .

Note that: . = area of parallelgram

Therefore: .area of .(3)