Question

8281 mango trees are planted in a garden in such a way that there are as many trees in a row as there are in the garden. find the total number of rows and the number of trees in each rows.​

Answer 1

$\frak{ \pmb{given}} \sf\: - \: total \: no. \: of \: mango \: trees = 8281$

$\frak{\pmb{find} }\begin{cases} \sf \:the \: total \: no. \: of \:rows \\ \sf the \: number \: of \: trees \: in \: each \: row \end{cases}$

$\odot \: \frak{\pmb{according \: to \: the \: question}}$

$\tt\: in \: the \: garden \: mango \: trees \: are \: planted \: in \: such \\ \tt \: a \: way \: that \: there \: are \: as \: many \: trees \: in \: a \: row \: as \: there \: are \: in \: the \: garden$

$\dagger \sf\: let \: the \: number \: of \: trees \: in \: each \: row \: \leadsto \: \red x$

$\sf \dagger \: let \: the \: number \: of \: rows \: \leadsto \: \red x$

$\bold{ \therefore \: total \: number \: of \: trees \: = {x}^{2}}$

$\hookrightarrow \bold{ {x}^{2} = 8281} \\ \hookrightarrow\bold{ x = \sqrt{8281} }$

$\hookrightarrow \: \underline{\overline{ \fbox{ x = 91}}}$

$\underline{ \underline \bold{ \blacksquare \: the \: total \: number \: of \: rows = \pink{91}}}$

$\underline{\underline \bold{ \blacksquare \: number \: of \: trees \: in \: each \: row = \pink{91}}}$

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Answer 2

Step-by-step explanation:

$\frak{ \pmb{given}} \sf\: - \: total \: no. \: of \: mango \: trees = 8281$

$\frak{\pmb{find} }\begin{cases} \sf \:the \: total \: no. \: of \:rows \\ \sf the \: number \: of \: trees \: in \: each \: row \end{cases}$

$\odot \: \frak{\pmb{according \: to \: the \: question}}$

$\tt\: in \: the \: garden \: mango \: trees \: are \: planted \: in \: such \\ \tt \: a \: way \: that \: there \: are \: as \: many \: trees \: in \: a \: row \: as \: there \: are \: in \: the \: garden$

$\dagger \sf\: let \: the \: number \: of \: trees \: in \: each \: row \: \leadsto \: \red x$

$\sf \dagger \: let \: the \: number \: of \: rows \: \leadsto \: \red x$

$\bold{ \therefore \: total \: number \: of \: trees \: = {x}^{2}}$

$\hookrightarrow \bold{ {x}^{2} = 8281} \\ \hookrightarrow\bold{ x = \sqrt{8281} }$

$\hookrightarrow \: \underline{\overline{ \fbox{ x = 91}}}$

$\underline{ \underline \bold{ \blacksquare \: the \: total \: number \: of \: rows = \pink{91}}}$

$\underline{\underline \bold{ \blacksquare \: number \: of \: trees \: in \: each \: row = \pink{91}}}$

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