Question

A wire is in the form of a rectangle whose length is $22$ $cm$ and breadth is $10$ $cm$. If the same wire is rebent in the shape of a square, then the measure of the side of the square is

• A. $16$ $cm$
• B. $22$ $cm$
• C. $18$ $cm$
• D. $32$ $cm$

Answer 1

The correct option is A

$16$ $cm$

Find the side of the square

We have given, Length of the Rectangle $=$$22$ $cm$

The breadth of the Rectangle $=$$10$ $cm$

Here, the Same length of wire is used to form a square from a rectangle

The perimeter of Square $=$ Perimeter of rectangle

$\Rightarrow$ $4\times$Side $=$ $2$(length $+$ breadth)

$\Rightarrow$ $4\times$Side $=$$2(22+10)$ $cm$

$\Rightarrow$ Side $=$$\frac{2\times 32}{4}$ $cm$

$\Rightarrow$ Side$=$$16$ $cm$

Hence, the side of the square is $16$ $cm$