Two friends need a triangular chart paper for a project. They buy a rectangular chart paper of length 30 inches and breadth 20 inches. They cut is across the diagonal and keep one piece each for their respective projects. Find the area of each friend's chart paper.

Answer

To find the area of each friend's triangular chart paper after cutting a rectangular chart paper, we can follow these steps:

### Step 1: Understand the dimensions of the rectangular chart paper.
The given dimensions of the rectangular chart paper are:
- Length = 30 inches
- Breadth = 20 inches

### Step 2: Calculate the area of the rectangular chart paper.
The area \( A \) of a rectangle is calculated using the formula:
\[ A = \text{length} \times \text{breadth} \]
Substituting the values:
\[ A = 30 \, \text{inches} \times 20 \, \text{inches} = 600 \, \text{square inches} \]

### Step 3: Understand how the rectangular chart paper is cut.
The rectangular chart paper is cut across the diagonal, which divides it into two equal triangular pieces.

### Step 4: Calculate the area of one triangular piece.
Since the area of the rectangle is 600 square inches and it is cut into two equal triangles, the area of each triangular piece is:
\[ \text{Area of each triangle} = \frac{\text{Area of rectangle}}{2} = \frac{600 \, \text{square inches}}{2} = 300 \, \text{square inches} \]

### Step 5: Conclusion.
Each friend will have a triangular chart paper with an area of:
\[ \text{Area of each friend's chart paper} = 300 \, \text{square inches} \]