The area of a square is given by the polynomial (25x² + 40x+16) square meters. What is an algebraic expression for the length of one side of the square? The length of one side is an example (Sim Textbook ● square meters. meters. .. = - 4 √ Clear all (1)

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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**Transcription for Educational Website:**

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**Problem Statement:**

The area of a square is given by the polynomial \(25x^2 + 40x + 16\) square meters. What is an algebraic expression for the length of one side of the square?

**Solution Area:**

The length of one side is \([ \text{input box} ]\)

\( \text{(Simplified from the polynomial representation)} \)

- **Unit Options:**

  - [ ] Square meters
  - [x] Meters

**Instructions:**

To determine the length of one side of the square, recall that the area \(A\) of a square is given by the formula \(A = s^2\), where \(s\) is the side length. Therefore, to find \(s\), take the square root of the given polynomial.

**Polynomial Explanation Example:**

Begin by factoring or completing the square for \(25x^2 + 40x + 16\) if necessary, then solve for \(s\).

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Transcribed Image Text:**Transcription for Educational Website:** --- **Problem Statement:** The area of a square is given by the polynomial \(25x^2 + 40x + 16\) square meters. What is an algebraic expression for the length of one side of the square? **Solution Area:** The length of one side is \([ \text{input box} ]\) \( \text{(Simplified from the polynomial representation)} \) - **Unit Options:** - [ ] Square meters - [x] Meters **Instructions:** To determine the length of one side of the square, recall that the area \(A\) of a square is given by the formula \(A = s^2\), where \(s\) is the side length. Therefore, to find \(s\), take the square root of the given polynomial. **Polynomial Explanation Example:** Begin by factoring or completing the square for \(25x^2 + 40x + 16\) if necessary, then solve for \(s\). ---
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