Answer:
1. sqrt(10) (approx 3.16) units.
2. 121 square units.
Step-by-step explanation:
The area of a square is equal to its side length squared. Thus, let the length of the side of a square be a, then the area of the square is a^2.
In the first square, we know the area is equal to 10 square units. However, we also know its equal to the side length squared (a^2). Thus, we can equalize the two and solve for a.
[tex]a^2 = 10\text{ //}\sqrt{()}\\a = \sqrt{10} \approx 3.16 \text{ units}[/tex]
The side length of a square with area 10 square units is sqrt(10) units.
For the second square, we know that the side length is 11 (a = 11). Thus, knowing the area is equal to the side length squared, we can simply square this number to get the area.
[tex]A = a^2 = 11^2 = 121 \text{ units}^2[/tex]
The area of a square with side length 11 units is 121 square units.
