The perimeter of a rectangular sheet is 100 cm. If the length is 35 cm, then breadth will be

Options

A. 15 cm
B. 25 cm
C. 35 cm
D. 45 cm

Answer

To find the breadth of a rectangular sheet given its perimeter and length, we can follow these steps:

### Step 1: Write down the formula for the perimeter of a rectangle.
The formula for the perimeter (P) of a rectangle is given by:
\[ P = 2 \times (L + B) \]
where \( L \) is the length and \( B \) is the breadth.

**Hint:** Remember that the perimeter is the total distance around the rectangle, which includes both lengths and both breadths.

### Step 2: Substitute the known values into the formula.
We know that the perimeter is 100 cm and the length \( L \) is 35 cm. Substituting these values into the formula gives:
\[ 100 = 2 \times (35 + B) \]

**Hint:** Make sure to replace the variables with the values provided in the question.

### Step 3: Simplify the equation.
First, divide both sides of the equation by 2 to simplify:
\[ 50 = 35 + B \]

**Hint:** Dividing by 2 helps to isolate the sum of length and breadth.

### Step 4: Solve for the breadth \( B \).
Now, subtract 35 from both sides to find \( B \):
\[ B = 50 - 35 \]
\[ B = 15 \]

**Hint:** When isolating a variable, you can move terms from one side of the equation to the other by performing the opposite operation.

### Conclusion:
The breadth of the rectangular sheet is 15 cm.

**Final Answer:** Breadth \( B = 15 \) cm

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