Question

A circular wire of radius $42$ cm is cut and bent it into the form of rectangle whose sides are in the ratio of $6:5$. The smaller side of the rectangle is

• A. $30$ cm
• B. $60$ cm
• C. $72$ cm
• D. $132$ cm

Answer 1

The correct option is B $60$ cm

$l=6x,b=5x$
$2\pi r=2(l+b)\Rightarrow 2\times \frac{22}{7}\times 42=2\left(11x\right)$
$2\times 6=x\Rightarrow x=12$
$b=5x=5\times 12=60$