Question

If perimeter of a rectangle is $101\text{cm}$ and its breadth is $12.5\text{cm}$ ,then its length is

• A. $50.5\text{cm}$
• B. $38\text{cm}$
• C. $34.5\text{cm}$
• D. $76\text{cm}$

Answer 1

The correct option is B

$38\text{cm}$

We know that the perimeter of the rectangle is $=2\times (\text{length+breadth)}$

But here perimeter is $=101\text{cm}$

And $2\times (\text{length+breadth)=101}$

So,

$$\begin{gathered} \text{length+breadth =101÷2=50.5} \\ \text{length+12.5=50.5} \\ \text{length=50.5-12.5=38 cm} \end{gathered}$$

Hence, option(B) is the correct answer and all other options are incorrect answers.