Question

a rectangle is drawn on a coordinate plane with verticies (0,0), (2,2), (9,-4), and (7,-6). using the coordinates, what is the approximate area of the rectangle? (1 point) 26.08 units² 52.2 units² 12.05 units² 24.1 units²

Explanation:

Step1: Calculate the length of one side

Use the distance formula \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\). For points \((0,0)\) and \((2,2)\):

$$
LATEXBLOCK0
$$

Step2: Calculate the length of an adjacent side

For points \((2,2)\) and \((9,-4)\):

$$
LATEXBLOCK1
$$

Step3: Calculate the area of the rectangle

The area of a rectangle \(A = l\times w\). Here \(l\approx9.22\) and \(w\approx2.83\)

$$ A\approx9.22\times2.83\approx26.08 $$

Answer:

26.08 units²