The area of a shape is the amount of space it occupies
The area of the rectangle is 18 square units
The vertices are given as:
[tex]\mathbf{A = (0,0)}[/tex]
[tex]\mathbf{B = (0,6)}[/tex]
[tex]\mathbf{C = (3,0)}[/tex]
Calculate distance AB and AC, using the following distance formula
[tex]\mathbf{d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_1)^2}}[/tex]
So, we have:
[tex]\mathbf{AB = \sqrt{(0 - 0)^2 + (0 - 6)^2} = 6}[/tex]
[tex]\mathbf{AC = \sqrt{(0 - 3)^2 + (0 - 0)^2} = 3}[/tex]
So, the area of the rectangle is:
[tex]\mathbf{Area = AB \times AC}[/tex]
[tex]\mathbf{Area = 6 \times 3}[/tex]
[tex]\mathbf{Area = 18}[/tex]
Hence, the area of the rectangle is 18 square units
Read more about areas at:
https://brainly.com/question/14957837
