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please give correct answer and clear calcualtion

The image you uploaded shows a math problem. I'll analyze the content and provide you with the correct answer along with a clear calculation.

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**Problem** (as read from the image):

*The problem in the image seems to be dealing with the perimeter of a rectangular field and finding its area when given certain dimensions.*

**Given:**
- Perimeter of the rectangular field: \( 144 \, \text{m} \)
- Length of the field \( = 48 \, \text{m} \)

**Task:**
1. Find the breadth of the rectangular field.
2. Find the area of the field.

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### Step 1: Find the breadth of the rectangular field.

The formula for the perimeter of a rectangle is:
\[
\text{Perimeter} = 2 \times (\text{Length} + \text{Breadth})
\]

Given:
\[
144 \, \text{m} = 2 \times (48 \, \text{m} + \text{Breadth})
\]

First, solve for the breadth:
\[
72 \, \text{m} = 48 \, \text{m} + \text{Breadth}
\]
\[
\text{Breadth} = 72 \, \text{m} - 48 \, \text{m} = 24 \, \text{m}
\]

### Step 2: Calculate the area of the field.

The area \( A \) of a rectangle is given by:
\[
A = \text{Length} \times \text{Breadth}
\]

Substituting the values we found:
\[
A = 48 \, \text{m} \times 24 \, \text{m} = 1152 \, \text{m}^2
\]

### Final Answer:

1. **Breadth of the field:** \( 24 \, \text{m} \)
2. **Area of the field:** \( 1152 \, \text{m}^2 \)

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Would you like more details or have any further questions?

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Here are 5 related questions that could help expand your understanding:

1. What is the perimeter of a square field with the same area as this rectangular field?
2. If the length was increased by 10 meters, what would be the new perimeter?
3. How would the area change if both the length and breadth were doubled?
4. Can you derive the formula for the diagonal of this rectangular field?
5. If the perimeter remained 144 meters but the length was reduced by 8 meters, what would be the new breadth?

**Tip:** Remember that the perimeter formula always involves both length and breadth, so changes in either will impact the total perimeter.

Learn how to calculate the perimeter and area of a rectangular field with detailed step-by-step solutions. Given dimensions include length of 48 meters and perimeter of 144 meters. Suitable for students in Grades 6-8.

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