Question

A wire is bent in the shape of a square with each side =12 cm. If the same wire is bent in the form of an equilateral triangle, find the length of each side of the triangle?

• A. 12 cm
• B. 15 cm
• C. 16 cm
• D. 20 cm

Answer 1

The correct option is C 16 cm


Perimeter of a square = $4\times side$
= $4\times 12$
=$48cm$
So the total length of the wire is 48 cm. Since the same wire is bent to form an equilateral triangle,
Perimeter of the equilateral triangle = $3\times side$ = $48cm$
$\Rightarrow$ Side of the triangle = $Perimeter÷3$
= $\frac{48}{3}$
= $16cm$