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

Question

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

Video Solution

Solution Steps

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 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 .

Answer

5