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

Answer 1

The correct option is B

(26,20)

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

Given, $l=6+b$ (1)

Half of the perimeter, $2\times \frac{l+b}{2}$ = 46
$\Rightarrow l+b=46$ (2)
By putting (1) in (2), we get:
$b=20m$
Thus, $l=26m$