Question

The area of a rectangle is same as the area of a square. If length and breadth of the rectangle is 8 cm and 4.5 cm, then the side of the square is​

Answer 1

Answer:

6 cm square

Step-by-step explanation:

area of rect. = l x b

= 8 * 4.5 = 36

area of square = s ^2 =36

                           =       $\sqrt{36}$

                            = 6 cm square

Answer 2

$\huge \fbox{Answer}$

$\large \underline{ \underline{ \bf{ \color{magenta}ɢɪᴠᴇɴ:}}}$

$\mapsto \sf{Area _{(rectangle)}=Area_{(square)}}$

$\mapsto \sf{Length \: of \: rectangle=8cm}$

$\mapsto \sf{Breadth\: of \: rectangle=4.5cm}$

$\large \underline{ \underline{ \bf{ \color{m}ᴛᴏ \: ғɪɴᴅ:}}}$

$\leadsto \sf{Side \: of \: square. }$

$\large \underline{ \underline{ \bf{ \color{green}ғᴏʀᴍᴜʟᴀ \: ʀᴇϙᴜɪʀᴇᴅ:}}}$

$\mp \red{ \boxed{ \blue{ \rm{Area \: of \: rectangle=length(l) ×breadth(b)}}}}$

$\mp \red{ \boxed { \blue{\rm{Side \: of \: square= \sqrt{Area} }}}}$

$\large \underline{ \underline{ \bf{ \color{blue}ᴀᴄᴄᴏʀᴅɪɴɢ \: ᴛᴏ \: ϙᴜᴇsᴛɪᴏɴ:}}}$

${ \dashrightarrow{ \sf{Area \: of \: rectangle=length(l) ×breadth(b)}}}$

${ \dashrightarrow{ \sf{Area \: of \: rectangle=8cm \times 4.5cm}}}$

${ \dashrightarrow{ \sf{Area \: of \: rectangle= 36{cm}^{2} }}}$

$\bf \underline{Then,}$

$\dashrightarrow{\sf{Side \: of \: square= \sqrt{Area} }}$

$\dashrightarrow{\sf{Side \: of \: square= \sqrt{36 {cm}^{2} } }}$

$\dashrightarrow{\sf{Side \: of \: square= 6cm} }$

$\bf \underline{ʜence,}$

$\: \: \: \: \: \star \underline\blue{ \boxed { \red{\rm{Side \: of \: square= {6cm} }}}}$