Question

If one of the diagonals of a quadrilateral is 25 units and offsets drawn on to its diagonal
are 14.5 units, 17.5 units then the area is

Answer 1

Answer:

Given that:

AC=10cm,DM=3cm,DM

′

=5cm

To find:

Area of the quadrilateral =?

Solution:

Area of the quadrilateral = Area of the △ADC+ Area of the △ABC

=

2

1

×DM×AC+

2

1

×DM

′

×AC

=

2

1

×3cm×10cm+

2

1

×5cm×10cm

=15cm

2

+25cm

2

=40cm

2

∴ Area of the quadrilateral =40cm

2