Question

seg DH is perpendicular to side EF and seg GK is perpendicular to side EF. If DH=12cm,GK=20cm and A(tri DEF) =300cm² then A(quadrilateral DEGF)=? ​

Answer 1

Step-by-step explanation:

(1) ar(△DEF)=

2

1

×EF×12=300cm

2

⟹EF=

12

300×2

=50cm

(2) ar(△GEF)=

2

1

×EF×GK

=

2

1

×50×30=500cm

2

(3) ar(□DFGE)=ar△DEFar+△GEF

=300cm

2

+500cm

2

=800cm

2