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.
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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