https://file.aiquickdraw.com/mathbot/file/1725267720663ihqh506f.jpg

please give correct answer and clear calcualtion

The image appears to be the same as the previous one, but I will analyze it again to ensure everything is correct.

### Problem from Image:

The problem discusses the perimeter of a rectangular field, finding its area, and includes the following details:

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

### Tasks:

1. **Find the breadth of the rectangular field.**
2. **Calculate the area of the rectangular field.**

### Step 1: Find the Breadth

The perimeter \( P \) of a rectangle is given by:
\[
P = 2 \times (\text{Length} + \text{Breadth})
\]
Substitute the given values:
\[
144 = 2 \times (48 + \text{Breadth})
\]

Simplify the equation:
\[
144 = 96 + 2 \times \text{Breadth}
\]

Subtract 96 from both sides:
\[
48 = 2 \times \text{Breadth}
\]

Divide by 2:
\[
\text{Breadth} = 24 \, \text{m}
\]

### Step 2: Calculate the Area

The area \( A \) of a rectangle is given by:
\[
A = \text{Length} \times \text{Breadth}
\]
Substitute the values:
\[
A = 48 \, \text{m} \times 24 \, \text{m} = 1152 \, \text{m}^2
\]

### Final Answer:

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

Would you like any additional details or have any questions?

---

Here are 5 related questions to deepen your understanding:

1. What would be the area if the length was increased by 50%?
2. How would you calculate the perimeter if the breadth were doubled?
3. If the length and breadth were both increased by 5 meters, what would be the new area?
4. How does the formula for the area change if you consider a square instead of a rectangle?
5. If the perimeter were reduced by 20 meters, how would this affect the length and breadth?

**Tip:** Always double-check your calculations by substituting the values back into the original formula. This helps confirm your results.

Learn how to calculate the perimeter, area, length, and breadth of a rectangular field with a detailed step-by-step solution. This problem covers key geometric concepts including perimeter and area formulas. Suitable for students in Grades 7-9.

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