the area of rectangle is 102sq. CM if the length is 17 what is the perimeter
Answers
46 m
Step-by-step explanation:
Given:
We are given that, area and length of the rectangle is 102 cm² and 17 cm respectively.
To find:
We need to find the perrimeter of rectangle.
Solution:
To find the perimeter of rectangle, firstly we should know the value of breadth. By applying area of rectangle formula, we can find the breadth of the rectangle.
⇒ Area = Length × Breadth
⇒ Breadth = Area/Length
⇒ Breadth = 102/17
⇒ Breadth = 6 cm
Hence, breadth of the rectangle is 6 cm. Now, on using perimeter of rectangle formula, we get:
⇒ Perimeter = 2 × (Length + Breadth)
⇒ Perimeter = 2 × (17 + 6)
⇒ Perimeter = 2 × 23
⇒ Perimeter = 46 m
Hence, the perimeter of the rectangle is 46 m.
•ɢɪᴠᴇɴ-
- ᴀʀᴇᴀ ᴏꜰ ᴛʜᴇ ʀᴇᴄᴛᴀɴɢʟᴇ = 102ᴄᴍᒾ
- ʟᴇɴɢᴛʜ ᴏꜰ ᴛʜᴇ ʀᴇᴄᴛᴀɴɢʟᴇ = 17ᴄᴍᒾ
•ᴛᴏ ꜰɪɴᴅ-
- ᴘᴇʀɪᴍᴇᴛᴇʀ ᴏꜰ ᴛʜᴇ ʀᴇᴄᴛᴀɴɢʟᴇ
~ᴡᴇ ᴋɴᴏᴡ ᴛʜᴀᴛ
ᴀ = ʟ × ʙ
~ᴡʜᴇʀᴇ
ᴀ = ᴀʀᴇᴀ
ʟ = ʟᴇɴɢᴛʜ
ʙ = ʙʀᴇᴀᴅᴛʜ
☆ꜰɪɴᴅɪɴɢ ᴛʜᴇ ʙʀᴇᴀᴛʜ☆
ᴀʀᴇᴀ = ʟ × ʙ
ᴀʀᴇᴀ = 17 ᴄᴍ × ʙʀᴇᴀᴅᴛʜ
ʙʀᴇᴀᴅᴛʜ = ᴀʀᴇᴀ/ʟᴇɴɢᴛʜ
= 102/17 ᴄᴍ
= 6 ᴄᴍ
•ꜱᴏʟᴜᴛɪᴏɴ-
~ᴡᴇ ᴀʟꜱᴏ ᴋɴᴏᴡ ᴛʜᴀᴛ
ᴘᴇʀɪᴍᴇᴛᴇʀ = 2( ʟ + ʙ )
= 2 ( 17 + 6 )
= 2 × 23
= 46 ᴄᴍᒾ
ʜᴇɴᴄᴇ,
ᴛʜᴇ ᴘᴇʀɪᴍᴇᴛᴇʀ ᴏꜰ ᴛʜᴇ ʀᴇᴄᴛᴀɴɢʟᴇ ɪꜱ 46 ᴄᴍᒾ
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