if length=12 and area=60sqcm .find perimeter of rectangle
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Given,
- length = 12 cm
- area = 60 cm sq
Area = length * breadth
60 = 12* breadth
So, breadth = 5 cm
Perimeter of rectangle = 12 + 5 cm = 17 cm
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33
ɢɪᴠᴇɴ :
ʟᴇɴɢᴛʜ ᴏғ ᴛʜᴇ ʀᴇᴄᴛᴀɴɢʟᴇ = 12 ᴄᴍ
ᴀʀᴇᴀ ᴏғ ᴛʜᴇ ʀᴇᴄᴛᴀɴɢʟᴇ = 60 sǫ.ᴄᴍ
ᴛᴏ ғɪɴᴅ :
ᴡᴇ ʜᴀᴠᴇ ᴛᴏ ᴛʜᴇ ᴘᴇʀɪᴍᴇᴛᴇʀ ᴏғ ᴛʜᴇ ʀᴇᴄᴛᴀɴɢʟᴇ.
sᴏʟᴜᴛɪᴏɴ :
ʟᴇᴛ ᴛʜᴇ ʙʀᴇᴀᴅᴛʜ ᴏғ ᴛʜᴇ ʀᴇᴄᴛᴀɴɢʟᴇ ʙᴇ x.
ᴀʀᴇᴀ ᴏғ ᴀ ʀᴇᴄᴛᴀɴɢʟᴇ = ʟᴇɴɢᴛʜ × ʙʀᴇᴀᴅᴛʜ
60 sǫ.ᴄᴍ = 12 ᴄᴍ × x
60 sǫ.ᴄᴍ/12 ᴄᴍ = x
==> x = 5 ᴄᴍ
Sᴏ, ᴛʜᴇ ʙʀᴇᴀᴅᴛʜ ᴏғ ᴛʜᴇ ʀᴇᴄᴛᴀɴɢʟᴇ ɪs 5 ᴄᴍ.
ᴘᴇʀɪᴍᴇᴛᴇʀ ᴏғ ᴛʜᴇ ʀᴇᴄᴛᴀɴɢʟᴇ=2(ʟᴇɴɢᴛʜ+ʙʀᴇᴀᴅᴛʜ)
==> 2 (12 ᴄᴍ + 5 ᴄᴍ)
==> 2 (17 ᴄᴍ)
==> 34 ᴄᴍ
Tʜᴇʀᴇғᴏʀᴇ, ᴛʜᴇ ᴘᴇʀɪᴍᴇᴛᴇʀ ᴏғ ᴛʜᴇ ʀᴇᴄᴛᴀɴɢʟᴇ ᴡʜᴏsᴇ ʟᴇɴɢᴛʜ ɪs 12 ᴄᴍ ᴀɴᴅ ᴀʀᴇᴀ ɪs 60 sǫ.ᴄᴍ ɪs 34 ᴄᴍ.
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