Question

A rectangle having area $24$ sq cm will have largest perimeter if its sides are:

• A. $4cm,6cm$
• B. $1cm,24cm$
• C. $3cm,8cm$
• D. $2cm,12cm$

Answer 1

The correct option is B

$1cm,24cm$

Perimeter of a rectangle = $2(length+breadth)$

Consider Option B: which is $1cm,24cm$

So, length is $24cm$ and breadth is $1cm$

$\Rightarrow$Perimeter = $2(1+24)$=$2\times 25$=$50cm$

When we check perimeter for all the given options, the answer will be less than $50$.

Therefore the side having largest perimeter is $1cm\&24cm$.

Hence Option B is Correct.