The length of a rectangular Hall is 4m less than 3 times the bredth of the hall . what is te length, if the bredth is b metres
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ʟᴇɴɢᴛʜ ᴏғ ʀᴇᴄᴛᴀɴɢᴜʟᴀʀ ʜᴀʟʟ = (3ʙ -4)ᴍ
ᴡᴇ ᴀʀᴇ ɢɪᴠᴇɴ ᴛʜᴇ ᴅɪᴍᴇɴsɪᴏɴs ᴏғ ᴀ ʀᴇᴀᴄᴛᴀɴɢᴜʟᴀʀ ʜᴀʟʟ, ʙʀᴇᴀᴅᴛʜ ɪs ʙ ᴍᴇᴛᴇʀs
sᴏ, ᴀᴄᴄᴏʀᴅɪɴɢ ᴛᴏ ɢɪᴠᴇɴ ᴅᴀᴛᴀ :
ʟᴇɴɢᴛʜ ɪs 3ᴛɪᴍᴇs ᴛʜᴇ ʙʀᴇᴀᴅᴛʜ = 3ʙ ᴍ
ᴀʟsᴏ, 4 ʟᴇss ᴛʜᴀɴ ᴛʜᴇ ʙʀᴇᴀᴅᴛʜ :
sᴏ,ʟᴇɴɢᴛʜ ɪs = (3ʙ -4)ᴍ
➠
• ɴᴏᴡ,ɪғ ᴀʀᴇ ɢᴏɪɴɢ ᴛᴏ ғɪɴᴅ ᴛʜᴇ ᴀʀᴇᴀ ᴏғ ʜᴀʟʟ ᴛʜᴇ ғᴏʀᴍᴜʟᴀ ᴡɪʟʟ ʙᴇ ;
➠ᴀʀᴇᴀ ᴏғ ʜᴀʟʟ = ʟᴇɴɢᴛʜ × ʙʀᴇᴀᴅᴛʜ
➠ᴀʀᴇᴀ ᴏғ ʜᴀʟʟ = (3ʙ -4)ʙ ᴜɴɪᴛs
• ᴏʀ,ɪғ ᴡᴇ ᴀʀᴇ ɢᴏɪɴɢ ᴛᴏ ғɪɴᴅ ᴘᴇʀɪᴍᴇᴛᴇʀ ᴛʜᴇɴ,ғᴏʀᴍᴜʟᴀ ᴡɪʟʟ ʙᴇ;
➠ᴘᴇʀɪᴍᴇᴛᴇʀ ᴏғ ʜᴀʟʟ = 2(ʟᴇɴɢᴛʜ + ʙʀᴇᴀᴅᴛʜ)
➠ᴘᴇʀɪᴍᴇᴛᴇʀ ᴏғ ʜᴀʟʟ = 2(3ʙ - 4 + ʙ) ᴜɴɪᴛs
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Answer:
let breadth = b .
A.T.Q.
length = 3b-4 metres
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