The perimeter of a rectangular sheet is 100 cm. If the length is 35 cm, find its breadth. Also find the area

Options

A. 525 cm
B. 625 cm
C. 425 cm
D. 825 cm

Answer

To solve the problem step by step, we will follow the given information about the rectangular sheet.

**Step 1: Understand the given information.**
- The perimeter of the rectangular sheet is 100 cm.
- The length of the rectangular sheet is 35 cm.
- We need to find the breadth and the area of the rectangle.

**Step 2: Recall the formula for the perimeter of a rectangle.**
The formula for the perimeter (P) of a rectangle is:
\[ P = 2 \times (Length + Breadth) \]

**Step 3: Substitute the known values into the perimeter formula.**
We know the perimeter is 100 cm and the length is 35 cm. So we can write:
\[ 100 = 2 \times (35 + B) \]
where B is the breadth.

**Step 4: Simplify the equation.**
First, divide both sides by 2:
\[ 50 = 35 + B \]

**Step 5: Solve for the breadth (B).**
Now, subtract 35 from both sides:
\[ B = 50 - 35 \]
\[ B = 15 \text{ cm} \]

**Step 6: Calculate the area of the rectangle.**
The area (A) of a rectangle is given by the formula:
\[ A = Length \times Breadth \]
Substituting the values we have:
\[ A = 35 \times 15 \]

**Step 7: Perform the multiplication.**
Calculating the area:
\[ A = 525 \text{ cm}^2 \]

**Final Results:**
- The breadth of the rectangular sheet is 15 cm.
- The area of the rectangular sheet is 525 cm².

---