Question

one diagonal of a quadrilateral measure 20.8 cm. if the perpendicular drawn to it from the opposite vertices are 12 cm and 15cm then find the area of the quadrilateral​

Answer 1

Step-by-step explanation:

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

Answer 2

Answer:

area of a quadrilateral = 1/2 * d * (h1 + h2)

= 1/2 * 20.8 *(12+15)

= 280.8