Find the Side Length of a Square with Area 25: Basic Geometry Problem

Question

A square has an area of 25.

How long are its sides?

Video Solution

Solution Steps

00:00 Find the side of the square
00:03 We'll use the formula for calculating the area of a square (side squared)
00:09 We'll substitute appropriate values and solve for the side
00:15 We'll extract the root
00:20 When extracting a root there are always 2 solutions
00:25 The side length must be greater than 0
00:30 And this is the solution to the question

Step-by-Step Solution

Remember that the area of a square is equal to the side of the square raised to the 2nd power.

Now, we replace the data in the formula:

25=L2 25=L^2

We extract the square root:

25=L \sqrt{25}=L

L=5 L=5

Answer

5 5