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

Options

A. 45 cm
B. 60 cm
C. 90 cm
D. 120 cm

Answer

To find the length of the rectangle formed by a wire of 180 cm, with a given width of 30 cm, we can follow these steps:

### Step 1: Understand the perimeter of the rectangle
The perimeter (P) of a rectangle is given by the formula:
\[ P = 2L + 2W \]
where \( L \) is the length and \( W \) is the width.

### Step 2: Substitute the known values
In this case, the perimeter is 180 cm and the width \( W \) is 30 cm. We can substitute these values into the perimeter formula:
\[ 180 = 2L + 2(30) \]

### Step 3: Simplify the equation
Now, simplify the equation:
\[ 180 = 2L + 60 \]

### Step 4: Isolate the term with L
To isolate \( 2L \), subtract 60 from both sides:
\[ 180 - 60 = 2L \]
\[ 120 = 2L \]

### Step 5: Solve for L
Now, divide both sides by 2 to find \( L \):
\[ L = \frac{120}{2} \]
\[ L = 60 \]

### Conclusion
The length of the rectangle is 60 cm.

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