Question

The ratio of the length of a swimming pool to its width is 4:5. Find its width if thelength is 16 meters.

A. 10
B. 15
C. 20
D. 25

Answer 1

$\huge \fbox{Answer}$

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

${\mapsto \sf{Ratio \: of \: length \: and \: breadth \: of \: swimming \: pool=4:5}}$

${ \mapsto \sf{Length \: of \: swimming \: pool=16m}}$

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

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

$\large \underline{\underline {\frak{ \color{indigo}Concept \: required::}}}$

$\sf{Here,we \: used \: linear \: equation \: from \: algebra. }$

$\bf{For \: example, }$

${ \rightarrow{ \sf{Length \: of \: swimming \: pool=4x=16m}}}$

↬$\sf{So,we \: first \: find \: the \: value \: of \: x. }$

$\large \underline { \underline{\frak {\pink{According \: to \: Question:: }}}}$

${ \implies{ \sf{Length \: of \: swimming \: pool=4x=16m}}}$

${ \implies{ \sf{x= \frac{16}{4} = 4 }}}$

${ \implies{ \sf{Breadth \: of \: swimming \: pool=5x}}}$

↬$\sf{Here,\: value \: of \: x \: is \: 4.}$

${\implies{ \sf{5x = 5 \times 4 = 20m}}}$

$\bf{Hence, }$

$\: \: \: \: \: \: \: \: \: \: ❈{ \fbox{ \sf{Breadth \: of \: swimming \: pool=20m}}}❈$

$\large \underline{\underline {\frak{ \color{cya}Verification::}}}$

${ \implies{ \sf{Length \: of \: swimming \: pool=4x=16m}}}$

${ \implies{ \sf{4 \times 4=16m}}}$

${ \implies{ \sf{16m=16m}}}$

${ \implies{ \sf{L.H.S.=R.H.S.}}}$

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