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