Marcia has 422 feet of fence. After fencing in a square region, she has 170 feet of fence left. What is the length of one side of the square? feet
Marcia has 422 feet of fence. After fencing in a square region, she has 170 feet of fence left. What is the length of one side of the square? feet
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![**Problem Statement:**
Marcia has 422 feet of fence. After fencing in a square region, she has 170 feet of fence left. What is the length of one side of the square?
[Input Box] feet
---
**Explanation:**
- **Total Fence Available:** 422 feet
- **Fence Used for Square:** The fence used for the square is the total fence minus the leftover fence.
\[
\text{Fence Used} = 422 - 170 = 252 \text{ feet}
\]
- **Square Perimeter Equation:** The perimeter of a square is 4 times the length of one side. Therefore,
\[
4s = 252 \text{ feet}
\]
- **Solving for Side Length:** To find the length of one side of the square (s),
\[
s = \frac{252}{4} = 63 \text{ feet}
\]
So, the length of one side of the square is 63 feet.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F942feb62-44c3-4f1b-8e26-1d6f6717149d%2Fdcaab258-4a21-456d-a5ca-d6d7776d9f54%2Faebdd5a_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Marcia has 422 feet of fence. After fencing in a square region, she has 170 feet of fence left. What is the length of one side of the square?
[Input Box] feet
---
**Explanation:**
- **Total Fence Available:** 422 feet
- **Fence Used for Square:** The fence used for the square is the total fence minus the leftover fence.
\[
\text{Fence Used} = 422 - 170 = 252 \text{ feet}
\]
- **Square Perimeter Equation:** The perimeter of a square is 4 times the length of one side. Therefore,
\[
4s = 252 \text{ feet}
\]
- **Solving for Side Length:** To find the length of one side of the square (s),
\[
s = \frac{252}{4} = 63 \text{ feet}
\]
So, the length of one side of the square is 63 feet.
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