Question

In each of the following cases ABCD is a square and PQRS is a rectangle. Find, in each case, the area of the shaded portion.

(All measurements are in metre)

Answer 1

(i) Area of the shaded portion

=Area of the rectangle PQRS -Area of square ABCD

$=3.2\times 1.8-\left(1.4{)}^2\right(\because PQ=3.2$ and PS =1.8) Side of square AB=1.4

=5.76-1.96=3.80=3.8 $m^2$

(ii)Area of the shaded portion

=Area of square ABCD-Area of rectangle PQRS

$=6\times 6-\left(3.6\right)\left(4.8\right)=36-17.28=18.72m^2$