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
• B. 26 m, 20 m
• C. 56 m, 40 m
• D. 2 m, 3 m

Answer 1

The correct option is B

26 m, 20 m

Let $l$ and $b$ be the length and breadth of the room.

Given,
$\Rightarrow l=6+b$....(1)

Half of the perimeter is 46 m
$\Rightarrow l+b=46$....(2)

Substituting (1) in (2), we get:
$\Rightarrow 6+2b=46$
$\Rightarrow b=20\text{m}$

Putting $b=20\text{m}$ in (1) we get $l=26\text{m}$.

Thus, $l=26\text{m}$ and $b=20\text{m}$.