Question

Calculate the area of a quadrilateral ABCD when length of the diagonal AC=10 cm and
the lengths of perpendiculars from B and D on AC be 5 cm and 6 cm respectively.​

Answer 1

Step-by-step explanation:

Given : Length of the diagonal (AC)=10 cm

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

=(

2

1

×AC×BM)+(

2

1

×AC×DL)

=

2

1

×AC(BM+DL)

=

2

1

×10(5+6)

=5×11cm

2

=55cm

2