What is the area of the shaded shape?

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Answer 1 · 2018-01-15T18:30:23

# 88cm^2#.

Method 1 :

Area #A_1# of the small right-triangle =#1/2*2*8=8cm^2#.

Area #A_2# of the big right-triangle =#1/2*8*(16+2-6)#,

#=4*12=48cm^2#.

Area #A# of the rectangle=#(2+16)8=144cm^2#.

Now, the reqd. area=#A-A_1-A_2#,

#144-8-48=88cm^2#.

Method 2 :

Note that the reqd. area is the area of a trapezium which

has a pair parallel sides of length #16cm and 6cm,# and the

#bot"-distance"# between #|\|# lines is #8cm#.

Hence, the reqd. area#=1/2*8(16+6)=4*22=88cm^2# .as

befiore!**