Question

the lenth of a rectangular filed is 8m less than twice breadth . if the perimeter of rectangular filed is 56 meters, find is length and breadth?​

Answer 1

${\sf{\green{\underline{\overline{Given:-}}}}}$

ʟᴇᴛ ᴛʜᴇ ʙʀᴇᴀᴅᴛʜ ᴏғ ʀᴇᴄᴛᴀɴɢʟᴇ(ʙ) = xᴍ

ᴛʜᴇɴ ʟᴇɴɢᴛʜ(ʟ) = (2x-8) ᴍ

${\sf{\pink{\underline{\overline{To \: find:-}}}}}$

ᴘᴇʀɪᴍᴇᴛᴇʀ ᴏғ ʀᴇᴄᴛᴀɴɢʟᴇ = 56 ᴍ

${\sf{\red{\underline{\overline{Solution:-}}}}}$

$\sf \blue{⇒ 2(l+b) = 56}$

$\sf \pink{⇒ 2(2x-8+x) = 56}$

$\sf \purple{⇒ 3x-8 = 28}$

$\sf \green{⇒ 3x =28+8}$

$\sf \blue{⇒ x = 36/3 = 12 m}$

$\sf \fbox \orange{Therefore :-}$

ʟᴇɴɢᴛʜ(ʟ) = 2x-8 =2×12 - 8 =16 ᴍᴇᴛᴇʀs.

ʙʀᴇᴀᴅᴛʜ(ʙ) = x = 12 ᴍᴇᴛᴇʀs.

${\sf{\pink{\underline{\overline{❀Tʜᴀɴᴋs \: !!}}}}}$

Answer 2

${\sf{\purple{\underline{\overline{Given:-}}}}}$

ʟᴇᴛ ᴛʜᴇ ʙʀᴇᴀᴅᴛʜ ᴏғ ʀᴇᴄᴛᴀɴɢʟᴇ(ʙ) = xᴍ

ᴛʜᴇɴ ʟᴇɴɢᴛʜ(ʟ) = (2x-8) ᴍ

${\sf{\pink{\underline{\overline{To \: find:-}}}}}$

ᴘᴇʀɪᴍᴇᴛᴇʀ ᴏғ ʀᴇᴄᴛᴀɴɢʟᴇ = 56 ᴍ

${\sf{\purple{\underline{\overline{Solution:-}}}}}$

$\tt \pink{⇒ 2(l+b) = 56}$

$\tt\pink{⇒ 2(2x-8+x) = 56}$

$\tt\purple{⇒ 3x-8 = 28}$

$\tt\purple{⇒ 3x =28+8}$

$\tt\pink{⇒ x = 36/3 }\purple{= 12 m}$

$\tt\fbox \purple{Therefore :-}$

Lᴇɴɢᴛʜ(ʟ) = 2x-8 =2×12 - 8 =16 ᴍᴇᴛᴇʀs.

ʙʀᴇᴀᴅᴛʜ(ʙ) = x = 12 ᴍᴇᴛᴇʀs.

${\sf{\pink{\underline{\overline{❀Tʜᴀɴᴋs \: !!}}}}}$