Question

find the area of the shaded portion in each case​

Answer 1

$\huge \fbox{Answer}$

$\large \underline{ \bf{ \color{red}Given:}}$

$\mapsto\sf{Length_{(outer \: rectangle)}=60m}$

$\mapsto\sf{Breadth_{(outer \: rectangle)}=40m}$

$\mapsto\sf{Length_{(inner \: rectangle)}=56m}$

$\mapsto\sf{Breadth_{(inner \: rectangle)}=36m}$

$\large \underline{ \bf{ \color{re}To \: find:}}$

$\leadsto \sf{Area \: of \: shaded \: portion.}$

$\large \underline{ \bf{ \color{blue}Formula \: required:}}$

$\dag{ \boxed{ \rm{Area_{(shaded \: portion)}=Area_{(outer \: rectangle)} - Area _{(inner \: rectangle)}}}}$

$\dag{ \boxed{ \rm{Area_{(rectangle)} = length \times breadth}}}$

$\large \underline{ \bf{ \color{indigo}According \: to \: Question:}}$

${ : : \implies{ \sf{Area_{(shaded \: portion)}=Area_{(outer \: rectangle)} - Area _{(inner \: rectangle)}}}}$

${ : : \implies{ \sf{Area_{(shaded \: portion)}=60m \times 40m - 56m \times 36m}}}$

${ : : \implies{ \sf{Area_{(shaded \: portion)} = 2400 {m}^{2} - 2016 {m}^{2} }}}$

${ : : \implies{ \sf{Area_{(shaded \: portion)} = 384{m}^{2} }}}$

$\bf{Hence, }$

$\: \: \: \: \: \: \: \: \: \: \: \: \star \underline{ \boxed{ \rm{Area_{(shaded \: portion)}=384 {m}^{2} }}}$