Question

The perimeter of a rectangle is $12m$. The length is $3$ more than twice its width. What is the value of length and width in $m.$?

• A. $3,2$
• B. $3,3$
• C. $5,1$
• D. $4,2$

Answer 1

The correct option is C $5,1$

Let length and width be $l$ and $b$.

The perimeter of the rectangle is given by
$2(l+b)=12$
$\Rightarrow l+b=6$

According to the given condition
$l=3+2b$
$\Rightarrow 6-b=3+2b$
$\Rightarrow 3b=3$
$b=1$

Using this value of $b$,

$l+1=6$

$\Rightarrow l=5$