Respuesta :

Answer:

Area of the rectangle = [tex]35\,\,units^2[/tex]

Step-by-step explanation:

Area of the Rectangle= Product of the two Unequal sides

Finding the two unequal sides of the rectangle using the distance formula:

For the coordinates:

A(2,3)  B(9,3)  C(9,-2)  D(2,-2)

Using Distance formula:

AB=

            [tex]=\sqrt{(9-2)^2+(3-3)^2} \\\\=\sqrt{7^2+0} \\\\=\sqrt{49}\\\\ =7\,\,units[/tex]

Similarly, BC= 5 units

Area of the rectangle is:

                                 [tex]=7\times 5\\\\=35\,\,units^2[/tex]

Answer:

The answer is definitely 35