Question
Half the perimeter of a rectangular room is 46 m, and its length is 6 m more than its breadth. What is the length and breadth of the room?
Answer: Option B
:
B
Let land b be the length and breadth of the room respectively.
Then, the perimeter of the room is2(l+b) metres.
From the question,
l=6+b ...(1)
12×2(l+b)=46
⇒l+b=46 ...(2)
Let's solve these two equations using substitution method.
On substituting the value of l from (1) in (2), we get
6+b+b=46
⇒ 6+2b=46
⇒2b=40
⇒b=20m
⇒l=20+6=26m
Therefore, length and breadth are 26 m and 20 m long respectively.
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:
B
Let land b be the length and breadth of the room respectively.
Then, the perimeter of the room is2(l+b) metres.
From the question,
l=6+b ...(1)
12×2(l+b)=46
⇒l+b=46 ...(2)
Let's solve these two equations using substitution method.
On substituting the value of l from (1) in (2), we get
6+b+b=46
⇒ 6+2b=46
⇒2b=40
⇒b=20m
⇒l=20+6=26m
Therefore, length and breadth are 26 m and 20 m long respectively.
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