https://file.aiquickdraw.com/mathbot/file/17265809754183t15eex0.jpg

To solve the problem of finding the width of the rectangular garden, given the perimeter \( P = 43.8 \, \text{ft} \) and the length \( L = 12.4 \, \text{ft} \), we can use the formula for the perimeter of a rectangle:

\[
P = 2L + 2W
\]

Where:
- \( L \) is the length,
- \( W \) is the width.

### Step-by-step solution:

1. Substitute the given values into the perimeter equation:

\[
43.8 = 2(12.4) + 2W
\]

2. Simplify:

\[
43.8 = 24.8 + 2W
\]

3. Subtract 24.8 from both sides to isolate the term with \( W \):

\[
43.8 - 24.8 = 2W
\]

\[
19 = 2W
\]

4. Divide both sides by 2 to find \( W \):

\[
W = \frac{19}{2} = 9.5 \, \text{ft}
\]

### Conclusion:
The width of the garden is \( 9.5 \, \text{ft} \).

Would you like further details or have any questions?

---

Here are 5 related questions for further exploration:
1. How do you calculate the area of the garden with the given dimensions?
2. What would the perimeter be if the length increased by 5 feet?
3. How does changing the width affect the perimeter of a rectangle?
4. What are the possible dimensions if the perimeter stays the same but the width increases?
5. Can you generalize the formula for the perimeter of other polygons?

**Tip:** Always double-check the values you substitute in a formula to avoid simple calculation errors.

The perimeter of a rectangular garden is 43.8 feet. Its length is 12.4 feet. What is its width?

Solve the problem of finding the width of a rectangular garden with a perimeter of 43.8 feet and a length of 12.4 feet. Learn the step-by-step approach using the perimeter formula for rectangles. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation