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]