Find the Square Root: Calculating Side Length When Area = 25

Calculate the side of a square that has an area equal to 25.

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Find the side of the square
00:03 Use the formula for calculating the area of a square (side squared)
00:08 Substitute appropriate values and solve to find the side
00:17 Extract the root
00:22 When extracting a root there are always 2 solutions
00:28 The side length must be greater than 0
00:32 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Calculate the side of a square that has an area equal to 25.

2

Step-by-step solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the given information.
  • Step 2: Apply the appropriate formula to find the side length.
  • Step 3: Perform the necessary calculations.

Now, let's work through each step:
Step 1: We are given the area of the square is 25 square units.
Step 2: We'll use the formula for the area of a square, A=s2 A = s^2 , where s s is the length of a side.
Step 3: Set up the equation s2=25 s^2 = 25 . To solve for s s , take the square root of both sides: s=25 s = \sqrt{25} . This results in s=5 s = 5 , considering the constraint that a side length must be non-negative.

Therefore, the solution to the problem is the side of the square is s=5 s = 5 .

3

Final Answer

5

Practice Quiz

Test your knowledge with interactive questions

\( \sqrt{100}= \)

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Powers and Roots - Basic questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations