8. A square garden of side 158 m, a road 2 metre wide is built all around. What is the area of the remaining part
of the garden?
Answers
Answer:
ʜɪ ᴅᴜᴅᴇ ʜᴇʀᴇ ɪs ᴜʀ ᴀɴsᴡᴇʀ.
Step-by-step explanation:
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ʟᴇɴɢᴛʜ ᴏғ ɢᴀʀᴅᴇɴ: ᴍ
ᴀʀᴇᴀ ᴏғ ɢᴀʀᴅᴇɴ : ×
= ᴍ^
ᴀʀᴇᴀ ᴏғ ʀᴏᴀᴅ : ( ᴛʜᴇ sɪᴅᴇs ʟᴇɴɢᴛʜ ᴡɪsᴇ)
× ×
ᴍ
ᴀʀᴇᴀ ᴏғ ʀᴏᴀᴅ : ( ʙʀᴇᴀᴅᴛʜ ᴡɪsᴇ)
- ×
×
ᴍ ^
ᴛʜᴇʀᴇғᴏʀᴇ ᴛᴏᴛᴀʟ ᴀʀᴇᴀ ᴏғ ʀᴏᴀᴅ : +
ᴍ ^
ʜᴇɴᴄᴇ ᴀʀᴇᴀ ᴏғ ʀᴇᴍᴀɪɴɪɴɢ ᴘᴏʀᴛɪᴏɴ :
ᴀʀᴇᴀ ᴏғ ɢᴀʀᴅᴇɴ - ᴀʀᴇᴀ ᴏғ ʀᴏᴀᴅ
-
ᴍ ^
ᴛʜᴇʀᴇғᴏʀᴇ ᴛʜᴇ ᴄᴏᴍᴘʟᴇᴛᴇ ᴀɴsᴡᴇʀ ɪs ᴍ
ʀᴇғᴇʀ ᴛᴏ ᴀ ᴅᴀɪɢʀᴀᴍ ғᴏʀ ʙᴇᴛᴛᴇʀ ᴜɴᴅᴇʀsᴛᴀɴᴅɪɴɢ
ʜᴏᴘᴇ ᴜ ɢᴏᴛ ɪᴛ.
ᴘʟᴇᴀsᴇ ᴅᴏ ᴍᴀʀᴋ ᴍᴇ ᴀs ʙʀᴀɪɴʟɪᴇsᴛ⭐⭐⭐
ʜᴀᴠᴇ ᴀ ɢᴏᴏᴅ ᴅᴀʏ ✌✌✌
Step-by-step explanation:
Let a = side of the square garden
b = side of the remaining part of the garden
Given:
a = 158m
Solution:
a = 2m + 2m + b
158m = 2m + 2m + b
Transpose 2m + 2m to the left side
b = 158 - 2m - 2m
b = 154m
To find the area of the remaining square graden use the formula:
A(b) = b²
A(b) = (154 m)²
A(b) = 23, 716 m² ANSWER
The area of the remaining part of the garden is 23, 716 m²