Question

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

coordinate and the area of the rectangle.
(4 points
O 07.21.45 units squared
O 12.7).45 units squared
O 07.21.28 units squared
O 12.7). 28 units squared

Answer 1

(7,2)

45 units squared

Explanation:

In order for the shape to be a rectangle the last vertex (lets call it D) must be the same vertical distance from C as A is from B (DC=AB), and the same horizontal distance from A as B is from C (AD=BC).

AB=DC=5

-3+5=2

BC=AD=9

-2+9=7

Therefore D is (7,2)

We already know the side lengths (5 and 9). Area is length by width. Therefore area = 5x9=45