A rectangular display board depicting “BE DISCIPLINED” is kept near the main gate of the school. Length of the board is 4m more than its breadth b. If the perimeter of the board is 84m , find the length and breadth of the rectangle.
Answers
Answered by
5
Answer:
Let breadth be x
Then length is x+4
Perimeter of rectangle=2(l+b)
84meters=2(x+4+x)
84=4x+8
4x=76
x=19meters
Breadth is 19 meters
Length is 4 more than breadth
Length=x+4=19+4
Length=23 meters
Step-by-step explanation:
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Answered by
5
Answer:
ᴛʜᴇ ʙʀᴇᴀᴅᴛʜ ᴏꜰ ᴛʜᴇ ʀᴇᴄᴛᴀɴɢʟᴇ ʙᴇ " x " ᴍᴇᴛʀᴇꜱ .
ᴛʜᴇɴ ʟᴇɴɢᴛʜ = ( x + 4 ) ᴍᴇᴛʀᴇꜱ
ᴘᴇʀɪᴍᴇᴛᴇʀ = 84
ᴀᴄᴄᴏʀᴅɪɴɢ ᴛᴏ Qᴜᴇꜱᴛɪᴏɴꜱ ,
2 ( x + x + 4 ) = 84
⇒ 2 ( 2x + 4 ) = 84
⇒ 2 ( 2x + 4 ) = 84
⇒ 4x = 84 - 8
⇒ 4x = 76
⇒ x = 76/4
⇒ x = 19
ʜᴇɴᴄᴇ , ʙʀᴇᴀᴅᴛʜ ᴏꜰ ʀᴇᴄᴛᴀɴɢʟᴇ = 19ᴍ ᴀɴᴅ
ʟᴇɴɢᴛʜ ᴏꜰ ʀᴇᴄᴛᴀɴɢʟᴇ = 19 + 4 = 23ᴍ
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