a part 1 metre wide is built inside a square Park of side 30 M along its side find the area of the path calculate the cost of constructing the path @ rupees 75 per metre
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sɪᴅᴇ ᴏғ sϙᴜᴀʀᴇ ᴘᴀʀᴋ (A) = 30ᴍ
ᴡɪᴅᴛʜ ᴏғ ᴘᴀᴛʜ = 1ᴍ
sɪᴅᴇ ᴏғ ɪɴɴᴇʀ ᴘᴀʀᴋ (ᴀ) = 30-1-1 = 28ᴍ
ᴄᴏsᴛ ᴏғ ᴄᴏɴsᴛʀᴜᴄᴛɪᴏɴ = 70 ᴘᴇʀ ᴍ^2
Aʀᴇᴀ ᴏғ ᴘᴀᴛʜ = Aʀᴇᴀ ᴏғ sϙᴜᴀʀᴇ ᴘᴀʀᴋ - ᴀʀᴇᴀ ᴏғ ᴘᴀʀᴋ ɪɴsɪᴅᴇ ᴛʜᴇ ᴘᴀᴛʜ
= A^2 - ᴀ^2
= 30^2 - 28^2
= 900 - 784
= 116ᴍ^2
Cᴏsᴛ ᴏғ ᴄᴏɴsᴛʀᴜᴄᴛɪᴏɴ ᴏғ ᴘᴀᴛʜ = 70×116
=8120
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