Respuesta :

The side length is 5 units, and the area is 25 square units

What are areas?

The area of a shape is the amount of space it occupies

What is the area of a square

The area of a square is the product of its dimensions

From the graph, the coordinates of the square can be assumed to be:

[tex]A = (0,0)[/tex]

[tex]B = (4,3)[/tex]

The side length of the square is then calculated using the following distance formula

[tex]d = \sqrt{(x_2- x_1)^2 + (y_2 -y_1)^2}[/tex]

So, we have:

[tex]AB = \sqrt{(0 - 4)^2 + (0-3)^2}[/tex]

[tex]AB = \sqrt{25}[/tex]

[tex]AB = 5[/tex]

The area of the square is the calculated as:

[tex]Area = AB^2[/tex]

This gives

[tex]Area = 5^2[/tex]

[tex]Area = 25[/tex]

Hence, the side length is 5 units, and the area is 25 square units

See attachment for the diagram of the shape

Read more about areas at:

https://brainly.com/question/24487155

Ver imagen MrRoyal