Question

the cost of fenicing a rectangular field at Rs 18 per meter is Rs 1980.if the field is 23 m,find the length

Answer 1

i hope this will help you

Answer 2

$\huge {\mathbb {\orange{solu}\gray{ti}\pink{on}\blue{!}}}$

• ʟᴇᴛ ᴛʜᴇ ʟᴇɴɢᴛʜ ᴏғ ᴛʜᴇ ʀᴇᴄᴛᴀɴɢᴜʟᴀʀ ғɪᴇʟᴅ ʙᴇ $\small{\underline{\mathcal{\green{X\: m }}}}$

• ᴛʜᴇ ᴄᴏsᴛ ᴏғ ғᴇɴᴄɪɴɢ ɪᴛ ᴀᴛ ʀs 18 ᴘᴇʀ ᴍᴇᴛᴇʀ = $\small{\underline{\mathcal{\green{ʀs\: 1980 }}}}$

• •°• ᴘᴇʀɪᴍᴇᴛᴇʀ ᴏғ ᴛʜᴇ ғɪᴇʟᴅ = $\small{\underline{\mathcal{\red{1980/18}}}}$ = $\small{\underline{\mathcal{\red{110\:m---(i) }}}}$

• $\orange\longrightarrow$ᴡɪᴅᴛʜ ᴏғ ᴛʜᴇ ғɪᴇʟᴅ = $\small{\underline{\mathcal{\red{23\:m}}}}$

• •°• ᴘᴇʀɪᴍᴇᴛᴇʀ ᴏғ ᴛʜᴇ ғɪᴇʟᴅ =$\small{\underline{\mathcal{\blue{2\: (23 + x) m---(ii)}}}}$

$\orange\longrightarrow$•°• 2 (23 + x) = $\small{\underline{\mathcal{\blue{110-- ғʀᴏᴍ(i) ᴀɴᴅ (ii)}}}}$

⠀⠀⠀⠀⠀⠀$\orange\longrightarrow$•°• 23 + x = $\small{\underline{\mathcal{\pink{110/2}}}}$

⠀⠀⠀⠀⠀⠀$\orange\longrightarrow$•°• 23 + x = $\small{\underline{\mathcal{\pink{55}}}}$

⠀⠀⠀⠀⠀⠀$\orange\longrightarrow$•°•ㄨ = 55 - 23 = $\small{\underline{\mathcal{\purple{32 m}}}}$

⠀⠀$\gray{ \tt{\:ᴛʜᴇ \:ʟᴇɴɢᴛʜ\: ᴏғ\: ᴛʜᴇ\: ғɪᴇʟᴅ \:= \:32 \:m}}$⠀⠀•──────────✧─────────•