Question

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

Answer 1

Perimeter of rectangle $=$ Circumference of circle

$=2\pi r$

$=2\times \frac{22}{7}\times 42$

$=264$ cm

Now perimeter of rectangle $=2\times (6x+5x)$

$\Rightarrow 2\times \left(11x\right)=264$

$\Rightarrow x=\frac{264}{22}=12$cm

$\therefore$ Smaller side of rectangle $=5x=5\times 12=60$ cm