Question

in the adjoining figure abcd is rectangle of size 18 cm by 10 cm. in abc, cone e 90° and ec 8 cm

find the area of the shaded region

Answer 1

Answer:

In △BCE

⇒EB

2

+EC

2

=BC

2

⇒EB

2

=BC

2

−EC

2

⇒EB=

100−64

=

36

=6cm

Area of the △EBC=

2

1

×EB×EC

=

2

1

×6cm×8cm=24cm

2

Area of rectangle ABCD=18cm×10cm=180cm

2

Area(shaded region) =ar(rectangle)−ar(△BCE)

180cm

2

−24cm

2

=156cm

2

solution