A rectangular hall 20 m long and 15 m broad is surrounded by a path of uniform width of 2.5m. Find the area of the path(in sq. m).
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αɳรωεɾ
➡️Tʜᴇ ʜᴀʟʟ ɪs Sᴜʀʀᴏᴜɴᴅᴇᴅ ʙʏ ᴠᴇʀᴀɴᴅᴀʜ
➡️Sᴏ, Aᴅᴅɪᴛɪᴏɴᴀʟ ɪɴᴄʀᴇᴀsᴇ ɪɴ ʟᴇɴɢᴛʜ ᴡɪʟʟ ʙᴇ =2∗2.5=5
➡️Sɪᴍɪʟᴀʀʟʏ , Aᴅᴅɪᴛɪᴏɴᴀʟ ɪɴᴄʀᴇᴀsᴇ ɪɴ ᴡɪᴅᴛʜ ᴡɪʟʟ ʙᴇ =2∗2.5=5
➡️Sᴏ Aʀᴇᴀ ᴏғ Hᴀʟʟ + Vᴇʀᴀɴᴅᴀʜ =(20+5)(15+5)=25∗20=500
➡️ᴀɴᴅ Aʀᴇᴀ ᴏғ Hᴀʟʟ =20∗15=300
➡️Aʀᴇᴀ ᴏғ ᴠᴇʀᴀɴᴅᴀʜ =500−300=200
➡️Rᴀᴛᴇ ᴏғ 1 sϙ ᴍᴇᴛʀᴇ =17.5
➡️Rᴀᴛᴇ ᴏғ 200 sϙ ᴍᴇᴛʀᴇ 17.50∗200=3500
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Explanation:
Since, The hall is Surrounded by verandah
So, Additional increase in length will be =2∗2.5=5
Similarly , Additional increase in width will be =2∗2.5=5
So Area of Hall + Verandah =(20+5)(15+5)=25∗20=500
and Area of Hall =20∗15=300
Area of verandah =500−300=200
Rate of 1 sq metre =17.5
Rate of 200 sq metre 17.50∗200=3500
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