Question

The coordinates below are the three vertices of a rectangle. Identify the fourth coordinate and the area of the rectangle.

A coordinate plane with the following points A at negative 3, 3; B at negative 3, negative 2; and C at 4, negative 2.

A(4, 3), 35 units squared
B (4, 3), 24 units squared
C (3, 4), 35 units squared
D (3, 4), 24 units squared

Answer 1

The coordinates of the three vertices of a rectangle are :

A(-3,3) , b(-3,-2) and c(4,-2)
The easy way to find the fourth vertex by the graphing the given points
See the attached figure
the given points are in blue color
and by using the symmetry of the rectangle
So, the coordinates of the fourth point D is (4,3) which are in red color
The base of the rectangle is the distance BC
From the graph ⇒⇒ BC = 7
The height of the rectangle is the distance AB
From the graph ⇒⇒ AB = 5
The area of the rectangle = base * height = 7 * 5 = 35

So, the correct answer is option A(4, 3), 35 units squared