Question

A squared patio has an area of 209 square feet.How long is each side of the patio to the nearest 0.05

Answer 1

14.46 feet.

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:

`\text{Area}=\text{Side length}^2`

`209\text{ feet}^2=\text{Side length}^2`

Switch sides:

`\text{Side length}^2=209\text{ feet}^2`

Take square root of both sides:

`\text{Side length}=\sqrt{209\text{ feet}^2}`

`\text{Side length}=14.4568322\text{ feet}`

`\text{Side length}\approx 14.46\text{ feet}`

Therefore, the side length of the given square patio is approximately 14.46 feet.

Answer 2

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