Question

the perimeter of a square field is 444m, find the area of the field. also find the cost of ploughing the field at rs 35 per m²​

Answer 1

Answer:

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The cost of ploughing a square field at rupees 13.50 per square meter is ...

23-Sep-2018 · 2 answers

Click here to get an answer to your question ✍️ The cost of ... Find the cost of fencing the field at rupees 28.50 per meter. 2 ... Find the area of the square field: ... Find the perimeter

Step-by-step explanation:

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Answer 2

$\huge \underline{ \rm{Answer}}$

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

${ \mapsto \sf{Perimeter \: of \: square \: field=444m}}$

${ \mapsto \sf{Cost \: of \: plughing \: square \: field=35 \: per \: {m}^{2} }}$

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

$\leadsto \sf{Area \: of \: square \: field. }$

${ \leadsto \sf{Cost \: of \: ploughing \: the \: square \: field. }}$

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

$\dag {\underline \blue { \boxed{ \rm \green {Side \: of \: square \: field= \frac{Perimeter}{4} }}}}$

$\dag \underline{ \red{ \boxed{ \rm \green{Area \: of \: square \: field= {(side)}^{2} }}}}$

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

${{ \dashrightarrow{ \sf{Side \: of \: square \: field= \frac{Perimeter}{4} }}}}$

${{ \dashrightarrow{ \sf{Side \: of \: square \: field= \frac{444}{4}m }}}}$

${{ \dashrightarrow{ \sf{Side \: of \: square \: field= \cancel\frac{444}{4}m }}}}$

${{ \dashrightarrow{ \sf{Side \: of \: square \: field= 111m }}}}$

$\bf \underline{Again, }$

${ { \dashrightarrow{ \sf{Area \: of \: square \: field= {(side)}^{2} }}}}$

${ { \dashrightarrow{ \sf{Area \: of \: square \: field= {(111m)}^{2} }}}}$

${ { \dashrightarrow{ \sf{Area \: of \: square \: field=12,321 {m}^{2} }}}}$

$\bf \underline{Then, }$

${ \dashrightarrow \sf{Cost \: of \: ploughing \: the \: square \: field =₹( 35 \times Total \: area \: of \: square \: field )}}$

${ \dashrightarrow \sf{Cost \: of \: ploughing \: the \: square \: field = ₹(35 \times 12,321 {m}^{2} ) }}$

${ \dashrightarrow \sf{Cost \: of \: ploughing \: the \: square \: field =₹(35 \times 12,321 {m}^{2} ) }}$

$\bf \underline{Hence, }$

$\: \: \: \: \: \star\underline{ \red{ \boxed{ \rm \green{Area \: of \: square \: field=12,321 {m}^{2} }}}}$

$\: \: \: \: \: \star\underline{ \blue{ \boxed{ \rm \green{Cost \: of \: ploughing \: the \: square \: field=₹4,31,235}}}}$