Hey there! :)
Answer:
A = 10 units².
Step-by-step explanation:
To solve this, we need to find the distance between the two points to derive the side-lengths of the square. Use the distance formula:
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]
Plug in points into the formula to find the distance:
[tex]d = \sqrt{(3 - 2)^2 + (4-1)^2}[/tex]
Simplify:
[tex]d = \sqrt{(1)^2 + (3)^2}[/tex]
[tex]d = \sqrt{(1) + (9)}[/tex]
[tex]d = \sqrt{10}[/tex]
Find the area of the square using the formula A = s² where s = √10:
A = (√10)²
A = 10 units².
