Question

the diagonals of a quadrilateral is 26 cm and the perpendicular draw to its from 12.8 cm and 10.2 cm . find the area of quadrilateral.​

Answer 1

Answer:

Given:- AC=26cm

DL=12.8cm

BM=11.2cm

Area of △ACD=

2

1

×AC×DL=

2

1

×26×12.8=166.4cm

2

Area of △ABC=

2

1

×AC×BM=

2

1

×26×11.2=145.6cm

2

Therefore,

Area of quadrilateral =ar(△ACD)+ar(△ABC)

=166.4+145.6=312cm

2