Question

24.
Find the area of the shaded portions given below:
2m
2m
18m
3m
9m
27m
(B) 192 cm²
(C) 183 cm²
(D) 182 cm²
(A) 188 cm²
(E) None of these​

Answer 1

Answer:

First divide the figure and label it as in the attachment.

Formula used:-

Area of rectangle=l×b

Solution:-

Area of given figure=Area of rectangle ABCD+Area of rectangle CJEF+Area of rectangle HGIJ

In the rectangle ABCD:-

AB=2m

AC=AE-(GF-HI)

=18m-(9m-3m)

=18m-6m

=12 m

Area of rectangle=ABCD

=12m×2m

$= 24 {m}^{2}$

In the rectangle CJEF:-

CE=GF-HI

=9m-3m

=6m

EF=27m

Area of rectangle=27×6

$= 162 {m}^{2}$

In the Rectangle HGIJ:-

HI=3m

HG=2m

Area of rectangle=3m×2m

$= 6 {m}^{2}$

Therefore,

$Area \: \: of \: \: the \: \: given \: \: figure=162 {m}^{2} + 6 {m}^{2} + {24m}^{2}$

$= 192 {m}^{2}$