Answer:
Step-by-step explanation:
the two diagonals of a rectangle have the same middle point
middle point
x = (2-4)/2 = -1
y = (1+4)/2 = 5/2
The diagonal BD must have the same middle point, so we can find vertex D in this way
(x +2)/2 = -1
x+2 = -2
x = -4
(y+4)/2 = 5/2
y+4 = 5
y = 1
fourth vertex : (-4, 1)
2) for find the first dimension we can use this formula
|y2 - y1| = |4-1| = 3
for find the second we can use this one:
|x2-x1| = |-4-2| = |-6| = 6 (a dimension can’t be negative)
3)
A = dimension 1 x dimension 2 = 3 x 6 = 18
