Question

A wire when bent in the form of a square encloses an area of $484{\text{cm}}^2$. Find the length of the wire.

• A. 88 cm
• B. 86 cm
• C. 82 cm
• D. 80 cm

Answer 1

The correct option is A

88 cm

Let the side of the square = $acm$
$\Rightarrow$ area of the square = $a^2$
$\Rightarrow a^2=484$
$={22}^2$
$\Rightarrow a=22cm$

Length of the wire = Perimeter of square
= 4 x Length of Side
= $4\times a$
= $4\times 22$
= $88cm$