Determine the coordinates of the vertices of the rectangle to compute the area of the rectangle using the distance formula (round to the nearest integer).

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

fwms@lil_ben06

step-by-step explanation: