Question

A wire in the shape of an equilateral triangle of side 16 cm is rebent into a regular octagon, Each side of the octagon is

• A. 8 cm
• B. 4 cm
• C. 6 cm
• D. 12 cm

Answer 1

The correct option is C 6 cm

A wire in the shape of an equilateral triangle of side 16 cm. is recent to a regular octagon.

We know, for this type of case the perimeter remains same.

$\therefore$ The perimeter of the triangle $=(3\times 16)cm$

$=48cm[\because$ perimeter = length X number of side]

Now let, the length of the regular octagon be x cm.

Hence perimeter of it = 8x cm.

According to the question, $8x=48\Rightarrow x=6cm.$

Hence each side is 6 cm.

$\therefore$ option C is correct.