A 180 cm long wire is formed into a rectangle. If the width of this rectangle is 30 cm, what is its length ?

The correct option is 60 cm.

Step-by-step Explanation:

1. Understand the Given Information:
- The total length of the wire is equal to the perimeter of the rectangle formed by it.
Perimeter of the rectangle = 180 cm
- The width of the rectangle ($w$) = 30 cm

2. Use the Formula for the Perimeter of a Rectangle:
The perimeter ($P$) of a rectangle is given by the formula:

$P=2\times (\text{Length}+\text{Width})$

Let the length of the rectangle be $l$.

3. Substitute the Known Values into the Formula:

$180=2\times (l+30)$

4. Solve for Length ($l$):
Divide both sides of the equation by 2:

$\frac{180}{2}=l+30$

$90=l+30$

Subtract 30 from both sides to find $l$:

$l=90-30$

$l=60\text{cm}$

Therefore, the length of the rectangle is 60 cm.