Find the area of a rectangle whose perimeter and breadth are 200m and

1.	Find the area of a rectangle whose perimeter and breadth are 200m and 30m respectively.
Answer» $\LARGE\underline\mathfrak{AnSwEr:}$ $\star$ ᴀʀᴇᴀ ᴏғ ʀᴇᴄᴛᴀɴɢʟᴇ ɪs 2100 sǫ.ᴍ $\LARGE\underline\mathfrak{Step \: by \: step \: explanation :}$ $\large{\sf{\underline{\underline \blue{Given-}}}}$ •ᴘᴇʀɪᴍᴇᴛᴇʀ = 200ᴍ •ʙʀᴇᴀᴅᴛʜ = 30ᴍ $\large{\sf{\underline{\underline \blue{To find -}}}}$ •ᴀʀᴇᴀ ᴏғ ʀᴇᴄᴛᴀɴɢʟᴇ $\large{\sf{\underline{\underline \blue{Figure-}}}}$ $\setlength{\unitlength}{0.78cm}\begin{picture}(12,4)\thicklines\put(5.6,9.1){$A$}\put(5.5,5.8){$B$}\put(11.1,5.8){$C$}\put(11.05,9.1){$D$}\put(4.5,7.5){$30\:m$}\put(8.1,5.3){$70\:m$}\put(11.5,7.5){$30\:m$}\put(8.1,9.5){$70\:m$}\put(6,6){\line(1,0){5}}\put(6,9){\line(1,0){5}}\put(11,9){\line(0,-1){3}}\put(6,6){\line(0,1){3}}\end{picture}$ $\large{\sf{\underline{\underline \blue{Solution-}}}}$ ➠ ${\boxed{\sf \red{ Perimter \: = \: 2(length \: + \: breadth) }}}$ ʙʟᴏᴄᴋ ᴛʜᴇ ᴠᴀʟᴜᴇs ɪɴ ᴀᴠᴀɪʟᴀʙʟᴇ ᴅᴀᴛᴀ; ➠ $\large\tt\ 200 \: = \: 2( length \: + \: 30)$ ➠ $\large\tt\frac{200}{2} \: = \: length \: + \: 30$ ➠ $\large\tt\ 100 \: = \: length \: + \: 30$ ➠ $\large\tt \ length \: = \: 100 \: - \: 30 \: = \: 70$ ➠ ${\boxed{\sf{Length \: = \: 70m }}}$ ɴᴏᴡ,ᴡᴇ ʜᴀᴠᴇ ᴛᴏ ғɪɴᴅ ᴀʀᴇᴀ ᴏғ ʀᴇᴄᴛᴀɴɢʟᴇ; ➠ ${\boxed{\sf \red{Area \: = \: length \times\ breadth}}}$ ➠ $\large\tt\ Area \: = \: 70 \times\ 30$ ➠ $\large\tt\ Area \: = \: <klux>2100</klux>$ ➠ ${\boxed{\sf{Area \: of \: rectangle \: = \: 2100\: m^{2} }}}$

Find the area of a rectangle whose perimeter and breadth are 200m and 30m respectively.

Answer»

$\LARGE\underline\mathfrak{AnSwEr:}$

$\star$ ᴀʀᴇᴀ ᴏғ ʀᴇᴄᴛᴀɴɢʟᴇ ɪs 2100 sǫ.ᴍ

$\LARGE\underline\mathfrak{Step \: by \: step \: explanation :}$

$\large{\sf{\underline{\underline \blue{Given-}}}}$

•ᴘᴇʀɪᴍᴇᴛᴇʀ = 200ᴍ

•ʙʀᴇᴀᴅᴛʜ = 30ᴍ

$\large{\sf{\underline{\underline \blue{To find -}}}}$

•ᴀʀᴇᴀ ᴏғ ʀᴇᴄᴛᴀɴɢʟᴇ

$\large{\sf{\underline{\underline \blue{Figure-}}}}$

$\setlength{\unitlength}{0.78cm}\begin{picture}(12,4)\thicklines\put(5.6,9.1){$A$}\put(5.5,5.8){$B$}\put(11.1,5.8){$C$}\put(11.05,9.1){$D$}\put(4.5,7.5){$30\:m$}\put(8.1,5.3){$70\:m$}\put(11.5,7.5){$30\:m$}\put(8.1,9.5){$70\:m$}\put(6,6){\line(1,0){5}}\put(6,9){\line(1,0){5}}\put(11,9){\line(0,-1){3}}\put(6,6){\line(0,1){3}}\end{picture}$