Question

find the area of the shaded region​

Answer 1

Answer:

area of the shaded region is 144 cm^2

Step-by-step explanation:

in ∆ABC

by PYTHAGORAS THEOREM

H^2 =B^2 + P^2

52^2=48^2 + P^2

2,704=2,304 + P^2

400=P^2

20=P

now area of triangle abc

area=1/2×base×height

=1/2×24×20

=240 cm ^2

in ∆ADB

by PYTHAGORAS theorem

h^2=b^2+p^2

20^2=16^2+ p^2

400=256+ p^2

144=p^2

12=p

now area of ∆ADB

area=1/2×base×height

=1/2×16×12

=96 cm^2

now subtract the area of both the triangle to get the area of shaded region:

240-96=144 cm^2

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