    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.  Suggest Corrections  0      Similar questions  Related Videos   Algebraic Solution
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