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

Answer:

55 cm²

Step-by-step explanation:

Given :

Length of the diagonal (AC)=10 cm

Area of quadrilateral ABCD

=ar(△ABC)+ar(△ACD)

=( 1/2×AC×BM) + (1/2×AC×DL)

= 1/2×AC(BM+DL)

= 1/2×10(5+6)

=5×11cm ²

=55cm²