Calculate Side Length: Finding Square Dimensions When Area = 900

Question

A square has an area of 900.

Ho 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
00:18 We'll take the square root
00:21 When taking a square root there are always 2 solutions
00:25 The length of the side must be greater than 0
00:31 And this is the solution to the problem

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:

900=L2 900=L^2

We extract the root:

900=L \sqrt{900}=L

L=30 L=30

Answer

30 30