Respuesta :
We have been given that Paul is painting a square wall with an area of 115 square feet.
Let x be the length of each side of our wall.
Since we know that all sides of a square are of equal measure and area of square is the product of its length and width.
Let us find length of wall using square's area formula.
[tex]\text{Area of square}=\text{ Length}\cdot \text{Width}[/tex]
Upon substituting our given values in area formula we will get,
[tex]115=x \cdot x[/tex]
[tex]115=x^{2}[/tex]
Upon taking square root of both sides of our equation,
[tex]\sqrt{115} =\sqrt{x^{2}}[/tex]
[tex]x=10.7238052947636083\approx 11[/tex]
Therefore, length of our wall will be 11 feet.
Its the square root of 115 sq ft. And that would be around 10.724, then if you round that to the nearest 10th, you'd get 11. So the answer is 11.
