Find the area of the composite figure. (round to the nearest hundredth)

a) 35.26 cm2

b) 41.70 cm2

c) 41.86 cm2

d) 48.46 cm2

We know that
[the area of composite figure]=[area of rectangle]+[area of a half circle]

[area of rectangle]=b*h
where
b=the base
h=the height 
[area of rectangle]=b*h> 4.1*8.6> 35.26 cm²

[area of a circle]=pi*r²
where 
r=the radius
r=4.1/2> 2.05 cm
the figure is a half circle
then 
[area of a half circle]=pi*r²/2> pi*2.05²/2> 6.60 cm²

[the area of composite figure]=35.26+6.60> 41.86 cm²

the answer is
41.86 cm² 

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