A rectangle of dimensions 10 cm and 5 cm is placed adjacent to another rectangle of the same size to draw and L shape figure. Find the perimeter of the shape so fomed

Options

A. 100 cm
B. 40 cm
C. 50 cm
D. 60 cm

Answer

To find the perimeter of the L-shaped figure formed by placing two rectangles of dimensions 10 cm and 5 cm adjacent to each other, we can follow these steps:

### Step 1: Understand the Shape
We have two rectangles, each with dimensions 10 cm (length) and 5 cm (breadth). When placed adjacent to each other, they form an L-shape.

### Step 2: Visualize the L-Shape
Draw the two rectangles:
- The first rectangle is placed horizontally.
- The second rectangle is placed vertically, adjacent to one end of the first rectangle.

### Step 3: Identify the Perimeter Components
The perimeter of the L-shape can be calculated by adding the lengths of all the outer sides. The dimensions of the L-shape will be:
- The total length of the horizontal part is 10 cm (length of the first rectangle).
- The vertical part will have a height of 10 cm (length of the second rectangle) and a width of 5 cm (breadth of both rectangles).

### Step 4: Calculate the Perimeter
The perimeter \( P \) of a shape is given by the formula:
\[ P = 2 \times (\text{Length} + \text{Breadth}) \]

However, since we have an L-shape, we need to consider the outer edges:
- The outer edges consist of:
- One side of 10 cm (horizontal length)
- One side of 5 cm (vertical breadth)
- One side of 10 cm (vertical length)
- One side of 5 cm (horizontal breadth)

So, the perimeter can be calculated as:
\[ P = 10 + 5 + 10 + 5 + 5 = 50 \text{ cm} \]

### Final Calculation
Thus, the total perimeter of the L-shaped figure is:
\[ P = 50 \text{ cm} \]

### Answer
The perimeter of the L-shaped figure is **50 cm**.

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