Answer:
The graph of the rectangle missing in the question is shown in the figure attached.
Coordinates of the points are:
A(1,8)
B(4,5)
C(14,21)
D(17,18)
The area of the rectangle is AB*BD.
The length of a segment given two points (x1, y1) and (x2, y2) is computed as follows:
√[(y2 - y1)^2 + (x2 - x1)^2]
For segment AB:
√[(5 - 8)^2 + (4 - 1)^2] = √18
For segment BD:
√[(18 - 5)^2 + (17- 4)^2] = √338
Then, the area is:
AB*BD = (√18)*(√338) = √(18*338) = √6084 = 78
