Question

JO] 1 19) A piece of a string is 30 cm long. What will be the length of each side if the string i5 used to form a square? .​

Answer 1

When the string is used to form a square, the perimieter of the square will be equal to the length of the string.

Therefore,

Perimeter of square = Length of string

=> 4a = 30 cm

=> a = 30/4 cm

=> a = 7.5 cm (Ans)

Answer 2

$\purple{ \dag} \widetilde{ \huge{ \bf{ \color{red}{ \underline{ \underline{ \colorbox{black}{ \color{lime}{AnsWeꋪ♡︎}}}}}}}} \purple{ \dag}$

$\large{ \sf{Solution:-</p><p></p><p>}}$

$\sf{The \: string \: length \: is \: the \: perimeter \: of \: the \: shape.}</p><p></p><p></p><p>$

$\sf{For \: each \: case,  \: perimeter=30cm}$

$\red{ \sf{(i) Square}}$

$\sf{A \: square \: has \: all \: the \: side \: equal.</p><p>}</p><p></p><p>$

$\sf{Perimeter \: =4×(side \: of \: square)}$

$\green {\sf{side  \: of  \: square \: = \frac{perimeter}{4} = \frac{30}{4} = 7.5} }$

$\sf{ \rm{Hence, \:  length \: of \: each \: side \: if \: the \: string \: is \: used \: to \: form \:  a \: square \: will \: be \: 7.5 cm.}}$

$\underline{ \underline{ \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }}}$

$\sf{(ii) Equilateral \: triangle}$

$\sf{An \: equilateral \: triangle \: has \: three \: equal \: sides.}$

$\sf{Perimeter \: =3×(side)}$

$\sf{side \: = \frac{perimeter}{3} = \frac{30}{3} = 10cm \: }$

$\sf{ \orange{Hence, \: length \: of \: each \: side \: if \: the \: string \: is \: used \: to \: form \: an \: equilateral \: triangle \: will \: be \: 10 \: cm}}$

$\underline{ \underline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }}$

$\blue{ \sf{(iii) Regular \: hexagon}}$

$\sf{A \: regular \: hexagon \: has \: six \: equal \: sides.}$

$\sf{Perimeter=6×(side)}$

$\sf{side= \frac{perimeter}{6} = \frac{30}{6} = 5cm}$

$\sf{ \pink{Hence, \: length \: of \: each \: side \: if \: the \: string \: is \: used \: to \: form \: a \: \:regular \: hexagon \: will \: be \: 5 cm.}}$

${\red{ \sf{♧︎︎︎ \: hope \: its \: help \: u}}}$