Question

In the given figure ABCDE, EY=CY =4cm , AX=BX=6cm, DE=DC= 5cm, DX= 9cm.DXis perpendicular to EC and AB.Find the area of ABCDE.


PLEASE ANSWER IT QUICKLY. ​

Answer 1

Answer:

1080cm.sq

Step-by-step explanation:

(4*6*5*9)cm.sq

Answer 2

Answer:

In △DEY, (DE)

2

=(EY)

2

+(DY)

2

So, 5

2

=4

2

+(DY)

2

⟹DY=3

DX=DY+XY=3+XY

So, XY=6 and DX=9

Ar(ABCDE)=Ar(ABCE)+Ar(△DCE)

Ar(ABCDE)=

2

1

(AB+CE)×XY+

2

1

(EC)(DY)

=

2

12+8

(6)+

2

1

(8)(3)=72cm

2