Question

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

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

Answer 1

The correct option is B $60cms$

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