Question

The perimeter of a rectangle
is 48cm . The length of the rectangle is 3cm more than
twice its breathe . Find the
length and breadth?​

Answer 1

Answer:

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Mark Brainer.

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Answer 2

$\huge \fbox{Answer}$

$\large \underline{ \underline{ \frak{ \color{blue}{Given:}}}}$

$\mapsto \sf{Perimeter \: of \: rectangle=48cm}$

$\mapsto \sf{Breadth \: of \: rectangle= { \bf b}cm}$

${\mapsto \sf{Length\: of \: rectangle= 2{ \bf b} + 3cm}}$

$\large \underline{ \underline{ \frak{ \color{orange}{To \: find:}}}}$

${ \leadsto \sf{Length \: and \: Breadth \: of \: rectangle. }}$

$\large \underline{ \underline{ \frak{ \color{cyan}{Formula \: required:}}}}$

$\dag\underline{ \red{ \boxed{ \blue{\rm{Perimeter \: of \: rectangle=2(length + breadth)}}}}}$

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

$\bf \underline{Let's \: start \: now!!!}$

${ \dashrightarrow \sf{Perimeter \: of \: rectangle=2(length + breadth)}}$

${ \dashrightarrow \sf{48cm=2(2{ \bf b} + 3+ {\bf b)}}}$

${ \dashrightarrow \sf{ \frac{48}{2} cm= 2{ \bf b} + 3+ {\bf b}}}$

${ \dashrightarrow \sf{ \cancel{ \frac{48}{2}}cm= 2{ \bf b} + 3+ {\bf b}}}$

${ \dashrightarrow \sf{ 24cm= 2{ \bf b} + 3+ {\bf b}}}$

${ \dashrightarrow \sf{ 24cm= 3{ \bf b} + 3 }}$

${ \dashrightarrow \sf{3{ \bf b} = 24cm - 3cm}}$

${ \dashrightarrow \sf{3{ \bf b} = 21cm}}$

${ \dashrightarrow \sf{{ \bf b} = \frac{21}{3} cm}}$

${ \dashrightarrow \sf{{ \bf b} = \cancel{\frac{21}{3}} cm}}$

${ \dashrightarrow \sf{{ \bf b} = 7 cm}}$

$\bf \underline{Then,}$

${ \mapsto \sf{Breadth \: of \: rectangle= { \bf b}cm = 7cm}}$

${\mapsto \sf{Length\: of \: rectangle= 2{ \bf b} + 3cm = 2 \times 7cm + 3} = 17cm}$

$\large \underline{ \underline{ \frak{ \color{black}{ \red{ \checkmark}}{Verification:}}}}$

${ \dashrightarrow \sf{Perimeter \: of \: rectangle=2(length + breadth)}}$

${ \dashrightarrow \sf{48cm=2(17cm+ 7cm)}}$

${ \dashrightarrow \sf{48cm=2 \times 24cm}}$

${ \dashrightarrow \sf{48cm = 48cm}}$

${ \dashrightarrow \sf{L.H.S.=RH.S.}}$

$\bf \underline{Hence,}$

$\: \: \: \: \: \star{\underline{ \blue{ \boxed{ \red{\rm{Breadth \: of \: rectangle= 7cm}}}}}}$

$\: \: \: \: \: \star{\underline{ \blue{ \boxed{ \red{\rm{Length\: of \: rectangle= 17cm}}}}}}$