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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?


A

2 m, 20 m

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B

26 m, 20 m

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C

56 m, 40 m

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D

2 m, 3 m

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Solution

The correct option is B

26 m, 20 m


Let l and b be the length and breadth of the room respectively.
Then, the perimeter of the room is 2(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=20 m

l=20+6=26 m

Therefore, length and breadth are 26 m and 20 m long respectively.


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