To find the length of a side of a square using the area, find the square root of the area:
Side length = √209
Side length = 14.456
Rounded is 14.45
Answer:
14.46 feet.
Step-by-step explanation:
We have been given that a squared patio has an area of 209 square feet. We are asked to find the length of each side to the nearest hundredth.
We know that area of a square is the square of its side length. To find the side length of the given squared patio, we will take square root of the area as:
[tex]\text{Area}=\text{Side length}^2[/tex]
[tex]209\text{ feet}^2=\text{Side length}^2[/tex]
Switch sides:
[tex]\text{Side length}^2=209\text{ feet}^2[/tex]
Take square root of both sides:
[tex]\text{Side length}=\sqrt{209\text{ feet}^2}[/tex]
[tex]\text{Side length}=14.4568322\text{ feet}[/tex]
[tex]\text{Side length}\approx 14.46\text{ feet}[/tex]
Therefore, the side length of the given square patio is approximately 14.46 feet.
