Square Root Problem: Finding Side Length When Area is 169

Question

A square has an area of 169.

How long are its sides?

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)
00:09 Substitute appropriate values and solve for the side
00:13 Take the square root
00:23 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.

We substitute the data into the formula:

169=L2 169=L^2

We calculate the root:

169=a \sqrt{169}=a

L=13 L=13

Answer

13 13