ABCD is a trapezium and CDEF is a parallelogram. Find the shaded area.
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ABCD is a trapezium and CDEF is a parallelogram. Find the shaded area.
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Step-by-step explanation:
AD=24 cm
GC=9cm
AB= Height of the trapezium ABCD= 8cm
HC=6CM = Height of parallelogram HEDC
in trapezium AGCD
formula of trapezium = (AD+GC)×AB÷2
= (24+9)*×8÷2
= 33×8÷2
=33×4
=132cm^2......... 1
In parallelogram FCDE
formula of parallelogram = length × height
= DC × HC
= 14×6
= 84 cm^2 ............2
Area of trapezium AGCD - Area of parallelogram FCDE =
Area of shaded figure.
from 1 subtracting 2
=132cm^2 - 84 cm^2
=48 cm^2
48cm^2 is the area of shaded figure