Four sheets of 50 cm `xx` 5 cm are to be arranged in such a manner that a square could be formed. What will be the area of inner part of the square so formed ?

Options

A. 2000 `cm^(2)`
B. 2025 `cm^(2)`
C. 1800 `cm^(2)`
D. 2500 `cm^(2)`

Answer

To solve the problem step by step, let's break it down:

### Step 1: Understand the dimensions of the sheets
We have 4 sheets, each measuring 50 cm by 5 cm.

### Step 2: Determine the arrangement of the sheets
The sheets are arranged to form a square. Since there are 4 sheets, we can assume they are placed in such a way that they create a larger square.

### Step 3: Calculate the side length of the square
To find the side length of the square formed by the arrangement of the sheets, we need to consider the total length of the sheets used to form the square.

- The width of each sheet is 5 cm.
- When the sheets are arranged, the effective side length of the square will be the length of the sheets minus the width of the sheets.

So, the side length of the square (RQ) can be calculated as:
\[ RQ = 50 \, \text{cm} - 5 \, \text{cm} = 45 \, \text{cm} \]

### Step 4: Calculate the area of the inner square
The area of a square is given by the formula:
\[ \text{Area} = \text{side} \times \text{side} \]
Using the side length we calculated:
\[ \text{Area} = 45 \, \text{cm} \times 45 \, \text{cm} = 2025 \, \text{cm}^2 \]

### Final Answer
The area of the inner part of the square formed is **2025 cm²**.

---