Question

The length of a rectangle is $4$ cm more than the breadth, and the perimeter is $11$ cm more than the breadth. Find the length and breadth of the rectangle.

• A. $l=1,b=7$ cm
• B. $l=6,b=3$ cm
• C. $l=7,b=8$ cm
• D. $l=5,b=1$ cm

Answer 1

The correct option is D $l=5,b=1$ cm

Let $l$ and $b$ be the length and breadth of the given rectangle.
$\therefore l=b+4$
Also, $Perimeter=b+11$
$\Rightarrow 2(l+b)=b+11$
$\Rightarrow 2(b+4+b)=b+11\Rightarrow 3b=3\Rightarrow b=1cm$
$\therefore l=1+4=5cm$
Hence, $length=5cm,breadth=1cm$